Geometry on surfaces, a source for mathematical developments. (English) Zbl 07918839
Papadopoulos, Athanase (ed.), Surveys in geometry II. Cham: Springer. 7-70 (2024).
Found 189 Documents (Results 1–100)
Algebraic and geometric characterizations related to the quantization problem of the \(C_{2, 8}\) channel. (English) Zbl 07910924
Stable vector bundles and the Riemann-Hilbert problem on a Riemann surface. (English. Russian original) Zbl 07878633
Sb. Math. 215, No. 2, 141-156 (2024); translation from Mat. Sb. 215, No. 2, 3-20 (2024).
Riemannian surfaces with simple singularities. (English) Zbl 07914414
Fillastre, François (ed.) et al., Reshetnyak’s theory of subharmonic metrics. Cham: Springer. 35-45 (2023).
Remarks on conformal modulus in metric spaces. (English) Zbl 1543.30176
MSC:
30L99
Solution of the Jacobi inversion problem on non-hyperelliptic curves. (English) Zbl 1526.30053
MSC:
30F10
Conformal metrics with prescribed Gaussian and geodesic curvatures. (English. French summary) Zbl 1511.30015
Reviewer: Igor V. Nikolaev (New York)
Nonlinear steepest descent approach to orthogonality on elliptic curves. (English) Zbl 1503.30097
Reviewer: Francisco Pérez Acosta (La Laguna)
Crossing the transcendental divide: from translation surfaces to algebraic curves. arXiv:2211.00304
Preprint, arXiv:2211.00304 [math.AG] (2022).
On the number of linearly independent solutions of the Riemann boundary value problem on the Riemann surface of an algebraic function. (English. Russian original) Zbl 1483.30076
Russ. Math. 65, No. 10, 10-30 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 10, 15-36 (2021).
The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti-de Sitter geometry. (English) Zbl 1483.30084
Reviewer: Athanase Papadopoulos (Strasbourg)
Ideal-adic completion of quasi-excellent rings (after Gabber). (English) Zbl 1471.13025
Reviewer: Ali Benhissi (Monastir)
Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic. (English) Zbl 1473.30023
Reviewer: Samyon R. Nasyrov (Kazan)
On the discreteness of states accessible via right-angled paths in hyperbolic space. (English) Zbl 1483.30083
Harmonic metrics on Higgs sheaves and uniformization of varieties of general type. (English) Zbl 1453.32029
Reviewer: Mohammed El Aïdi (Bogotá)
Bounds on the orders of groups of automorphisms of a pseudo-real surface of given genus. (English) Zbl 1446.30058
Reviewer: José Javier Etayo (Madrid)
Addition of divisors on hyperelliptic curves via interpolation polynomials. (English) Zbl 1448.14025
Reviewer: Victor Zvonilov (Nizhny Novgorod)
Analytic continuation of functions and uniformization of Riemann surfaces. (English) Zbl 1440.14160
Reviewer: José Javier Etayo (Madrid)
Reduction of vector boundary value problems on Riemann surfaces to one-dimensional problems. (English. Russian original) Zbl 1422.30066
Sib. Math. J. 60, No. 1, 153-163 (2019); translation from Sib. Mat. Zh. 60, No. 1, 201-213 (2019).
Functional equations as an important analytic method in stochastic modelling and in combinatorics. (English) Zbl 1411.60066
Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities. (English) Zbl 1368.30018
Introduction to complex theory of differential equations. (English) Zbl 1384.58002
Frontiers in Mathematics. Basel: Birkhäuser/Springer (ISBN 978-3-319-51743-8/pbk; 978-3-319-51744-5/ebook). x, 138 p. (2017).
Reviewer: Daniel Barlet (Vandœuvre-les-Nancy)
Analytical solutions for an escape problem in a disc with an arbitrary distribution of exit holes along its boundary. (English) Zbl 1362.60073
New solvability criterion for jump problem. (English) Zbl 1368.30016
Reviewer: Nino Manjavidze (Tbilisi)
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. (English) Zbl 1329.58022
MSC:
58J26
Stability of pseudoconvexity of disc bundles over compact Riemann surfaces and application to a family of Galois coverings. (English) Zbl 1325.32009
Reviewer: Viorel Vâjâitu (Bucureşti)
Calibration of the stochastic multicloud model using Bayesian inference. (English) Zbl 1298.86003
Reviewer: Claudia-Veronika Meister (Darmstadt)
A variant of the solution of Markushevich boundary problem. (Russian. English summary) Zbl 1331.30032
Some exact asymptotics in the counting of walks in the quarter plane. (English) Zbl 1296.60111
Broutin, Nicolas (ed.) et al., Proceeding of the 23rd international meeting on probabilistic, combinatorial, and asymptotic methods in the analysis of algorithms (AofA’12), Montreal, Canada, June 18–22, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 109-124, electronic only (2012).
Determination of the polynomial uniformizing a given compact Riemann surface. (English. Russian original) Zbl 1282.30024
Math. Notes 91, No. 4, 558-567 (2012); translation from Mat. Zametki 91, No. 4, 597-607 (2012).
MSC:
30F10
The Hermitian two matrix model with an even quartic potential. (English) Zbl 1247.15032
Mem. Am. Math. Soc. 1022, v, 105 p. (2012).
Reviewer: Václav Burjan (Praha)
Counting walks in a quadrant: a unified approach via boundary value problems. (English) Zbl 1238.05014
The Markushevich problem in the class of automorphic functions for arbitrary circle. (Russian. English summary) Zbl 1331.30031
The Church synthesis problem with metric. (English) Zbl 1247.68166
Bezem, Marc (ed.), Computer science logic (CSL’11). 25th international workshop, 20th annual conference of the EACSL, Bergen, Norway, September 12–15, 2011. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-32-3). LIPIcs – Leibniz International Proceedings in Informatics 12, 307-321, electronic only (2011).
Local uniformization and free boundary regularity of minimal singular surfaces. (English) Zbl 1228.53010
Reviewer: Alexander A. Borisenko (Khar’kov)
Baker-Akhiezer modules on the intersections of shifted theta divisors. (English) Zbl 1225.14034
Reviewer: V. V. Chueshev (Kemerovo)
Introduction to compact Riemann surfaces. (English) Zbl 1214.30030
Bobenko, Alexander I. (ed.) et al., Computational approach to Riemann surfaces. Berlin: Springer (ISBN 978-3-642-17412-4/pbk; 978-3-642-17413-1/ebook). Lecture Notes in Mathematics 2013, 3-64 (2011).
Reviewer: Vasily A. Chernecky (Odessa)
Thomae’s formula for \(Z_n\) curves. (English) Zbl 1215.14030
Reviewer: Athanase Papadopoulos (Strasbourg)
On a Schottky problem for the singular locus of \(A_5\). (English) Zbl 1207.30067
Gardiner, Frederick P. (ed.) et al., Geometry of Riemann surfaces. Proceedings of the Anogia conference to celebrate the 65th birthday of William J. Harvey, Anogia, Crete, Greece, June–July 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-73307-6/pbk). London Mathematical Society Lecture Note Series 368, 217-237 (2010).
Reviewer: Yaşar Sözen (Istanbul)
MSC:
30F10
Solving the Poisson equation on a surface by reduction to a 1-dimensional problem. (English) Zbl 1183.30046
Reviewer: Konstantin Malyutin (Sumy)
Determinant form of the complex phase function of the steepest descent analysis of Riemann-Hilbert problems and its application to the focusing nonlinear Schrödinger equation. (English) Zbl 1175.30039
Reviewer: Sergei V. Rogosin (Minsk)
Equivariant Plateau problems. (English) Zbl 1169.57017
Reviewer: Athanase Papadopoulos (Strasbourg)
The uniformization problem. (English) Zbl 1170.30002
Papadopoulos, Athanase (ed.), Handbook of Teichmüller theory. Volume II. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-055-5/hbk). IRMA Lectures in Mathematics and Theoretical Physics 13, 131-149 (2009).
Reviewer: Vasily A. Chernecky (Odessa)
Coverings, enumeration and Hurwitz problems. (English) Zbl 1178.30052
Koolen, Jack (ed.) et al., Applications of group theory to combinatorics. Selected papers from the Com\(^2\)MaC conference, Pohang, Korea, July 9–12, 2007. Boca Raton, FL: CRC Press (ISBN 978-0-415-47184-8/hbk). 71-107 (2008).
MSC:
30F10
Classical Schottky uniformizations of genus 2. A package for MATHEMATICA. (English) Zbl 1139.30018
Reviewer: Gou Nakamura (Toyota)
Surface symmetries and \(\text{PSL}_2(p)\). (English) Zbl 1123.57010
Reviewer: Masako Kobayashi (Osaka)
Persistence theorems and simultaneous uniformization. (English. Russian original) Zbl 1351.37199
Proc. Steklov Inst. Math. 254, 184-200 (2006); translation from Tr. Mat. Inst. Steklova 254, 196-214 (2006).
Riemann surfaces. (Римановы поверхности.) (Russian) Zbl 1295.30001
Lektsionnye Kursy NOTs 1. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 5-98419-011-7). 105 p. (2006).
Reviewer: Sergei V. Rogosin (Minsk)
Some problems on mapping class groups and moduli space. (English) Zbl 1191.57015
Farb, Benson (ed.), Problems on mapping class groups and related topics. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3838-5/hbk). Proceedings of Symposia in Pure Mathematics 74, 11-55 (2006).
Effective solution of the Carleman problem for some groups of divergent type. (Russian, English) Zbl 1114.30045
Sib. Mat. Zh. 46, No. 4, 723-732 (2005); translation in Sib. Math. J. 46, No. 4, 573-580 (2005).
Kleinian groups and the rank problem. (English) Zbl 1087.20035
Reviewer: Bruno Zimmermann (Trieste)
Constructive solvability conditions for the Riemann-Hilbert problem. (English) Zbl 1080.32015
Math. Notes 77, No. 5, 595-605 (2005); translation from Mat. Zametki 77, No. 5, 643-655 (2005).
Reviewer: Vasily A. Chernecky (Odessa)
Splitting types of vector bundles constructed from monodromy of a given Fuchsian system. (Russian, English) Zbl 1077.14511
Zh. Vychisl. Mat. Mat. Fiz. 44, No. 4, 676-685 (2004); translation in Comput. Math. Math. Phys. 44, No. 4, 640-648 (2004).
Reviewer: Andrei Zemskov (Moskva)
Tau-functions on Hurwitz spaces. (English) Zbl 1049.32019
Reviewer: Vasily A. Chernecky (Odessa)
First-order deformation tensors over compact Riemann surfaces. (English) Zbl 1046.30025
Reviewer: Vasily A. Chernecky (Odessa)
The small Schottky-Jung locus in positive characteristics different from two. (English) Zbl 1067.14025
Reviewer: Christophe Ritzenthaler (Barcelona)
MSC:
14H42
A scrapbook of complex curve theory. 2nd ed. (English) Zbl 1030.14010
Graduate Studies in Mathematics. 55. Providence, RI: American Mathematical Society (AMS). xi, 188 p. (2003).
Schwarzian derivatives and uniformization. (English) Zbl 1027.53016
Kuznetsov, V. B. (ed.), The Kowalevski property. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 32, 271-286 (2002).
Reviewer: Hubert Gollek (Berlin)
Polynomial complexity of the Gilman-Maskit discreteness algorithm. (English) Zbl 1002.30023
Reviewer: Gerhard Rosenberger (Dortmund)
Alternate discreteness tests. (English) Zbl 0998.30040
Gilman, Jane (ed.) et al., Knots, braids, and mapping class groups - papers dedicated to Joan S. Birman. Proceedings of a conference in low dimensional topology in honor of Joan S. Birman’s 70th birthday, New York, NY, USA, March 14-15, 1998. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 24, 41-47 (2001).
Reviewer: Jürgen Elstrodt (Münster)
Dynamics of inequalities in geometric function theory. (English) Zbl 1006.30009
Reviewer: Rainer Brück (Dortmund)
Theta constants, Riemann surfaces and the modular group. An introduction with applications to uniformization theorems, partition identities and combinatorial number theory. (English) Zbl 0982.30001
Graduate Studies in Mathematics. 37. Providence, RI: American Mathematical Society (AMS). xxiv, 531 p. (2001).
Reviewer: Samuel James Patterson (Göttingen)
Period matrices and the Schottky problem. (English) Zbl 1028.14009
Bujalance, E. (ed.) et al., Topics on Riemann surfaces and Fuchsian groups. Based on lectures from the conference, Madrid, Spain, 1998. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 287, 155-163 (2001).
Teichmüller’s moduli problem of the once punctured tori and the spectral theory of automorphic functions. (English) Zbl 0997.32014
Berlin: FU Berlin, Fachbereich Mathematik und Informatik, 180 p. (2000).
Uniform convergence of Padé diagonal approximants for hyperelliptic functions. (English. Russian original) Zbl 0980.41015
Sb. Math. 191, No. 9, 1339-1373 (2000); translation from Mat. Sb. 191, No. 9, 81-114 (2000).
Reviewer: Nácere Hayek (La Laguna)
Geometric finiteness and rigidity of Kleinian groups. (English) Zbl 0986.30024
Brooks, Robert (ed.) et al., Lectures in memory of Lars Ahlfors. Ramat-Gan: Bar-Ilan Univ., The Emmy Noether Research Institute of Mathematics/distrib. by the AMS, Isr. Math. Conf. Proc. 14, 5-30 (2000).
Reviewer: Gou Nakamura (Toyota)
MSC:
30F40
Complexity of a Turing machine discreteness algorithm. (English) Zbl 0971.68208
Kra, Irwin (ed.) et al., In the tradition of Ahlfors and Bers. Proceedings of the first Ahlfors-Bers colloquium, State University of New York, Stony Brook, NY, USA, November 6-8, 1998. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 256, 165-171 (2000).
Projective uniformization revisited. (English) Zbl 0961.03041
Reviewer: Benedikt Löwe (Bonn)
Infinite quotients of Fuchsian groups. (English) Zbl 0962.20037
Reviewer: A.W.Mason (Glasgow)
A canonical metric for conformal manifolds of positive Yamabe invariant and moduli spaces of conformal structures. (Eine kanonische Metrik für konforme Mannigfaltigkeiten positiver Yamabe-Invariante und Modulräume konformer Strukturen.) (German) Zbl 0976.53044
Leipzig: Univ. Leipzig, Fakultät für Mathematik und Informatik (Habil.-Schr.), 87 S. (1999).
Uniform lattice point estimates for co-finite Fuchsian groups. (English) Zbl 1043.11069
Reviewer: Samuel James Patterson (Göttingen)
Quantum states of monodromy groups. (English) Zbl 0958.34076
Reviewer: Masaaki Yoshida (Fukuoka)
Geometric quantization of the Landau problem on hyperbolic Riemann surfaces. (English) Zbl 0937.37029
Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 621-629 (1999).
Moduli of Riemann surfaces, Hurwitz-type spaces, and their superanalogues. (English. Russian original) Zbl 0948.32018
Russ. Math. Surv. 54, No. 1, 61-117 (1999); translation from Usp. Mat. Nauk 54, No. 1, 61-116 (1999).
Reviewer: Viktor Z.Enol’skij (Kyïv)
Gauge fixing for logarithmic connections over curves and the Riemann-Hilbert problem. (English) Zbl 0978.14037
Reviewer: Lucian Bădescu (Bucureşti)
Isoperimetric curves on hyperbolic surfaces. (English) Zbl 0992.53048
Reviewer: P.Gilkey (Eugene)
Burnside’s uniformization. (English) Zbl 0863.14020
Reviewer: R.A.Rankin (Glasgow)
Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions. (English) Zbl 1041.47502
Reviewer: Vasily A. Chernecky (Odessa)
Analogs of the Nehari and Sarason theorems for character-automorphic functions and some related questions. (English) Zbl 0947.30026
Dym, H. (ed.) et al., Topics in interpolation theory. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 95, 373-390 (1997).
The character-automorphic Nehari problem: Non-uniqueness criterion and some extremal solutions. (English) Zbl 0876.30042
Schottky uniformization theory on Riemann surfaces and Mumford curves of infinite genus. (English) Zbl 0872.14020
Set theory generated by Abelian group theory. (English) Zbl 0876.03024
Reviewer: O.V.Belegradek (Kemerovo)
\(ZS\)-metacyclic groups of automorphisms of compact Riemann surfaces. (English) Zbl 0877.20035
Reviewer: T.Başkan (Balikesir)
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