Found 168 Documents (Results 1–100)
Note sur le lieu discriminant d’une hypersurface de bi-degré \((m, n).\). arXiv:2409.16479
Preprint, arXiv:2409.16479 [math.AG] (2024).
The complete classification of isotopy classes of degree three symplectic curves in \(\mathbb{CP}^2\) via a novel algebraic theory of braid monodromy. arXiv:2303.05281
Preprint, arXiv:2303.05281 [math.SG] (2023).
\(\pi_1\) of Miranda moduli spaces of elliptic surfaces. (English) Zbl 1499.14062
Reviewer: Sönke Rollenske (Marburg)
On the Alexander invariants of trigonal curves. (English) Zbl 1486.14029
Reviewer: Alex Degtyarev (Ankara)
Permuting the roots of univariate polynomials whose coefficients depend on parameters. arXiv:2204.14235
Preprint, arXiv:2204.14235 [math.AG] (2022).
Fundamental group of Galois covers of degree 5 surfaces. (English) Zbl 1494.14011
Reviewer: Vladimir P. Kostov (Nice)
Classification of genus-1 holomorphic Lefschetz pencils. (English) Zbl 1505.57027
Reviewer: Roman Golovko (Praha)
Complements to ample divisors and singularities. (English) Zbl 1485.14003
Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities II. Cham: Springer. 501-567 (2021).
Reviewer: Giancarlo Urzúa (Santiago de Chile)
Branch stabilisation for the components of Hurwitz moduli spaces of Galois covers. (English) Zbl 1457.14070
Neumann, Frank (ed.) et al., Galois covers, Grothendieck-Teichmüller theory and dessins d’enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4–7, 2018. Cham: Springer. Springer Proc. Math. Stat. 330, 181-204 (2020).
Calculating the fundamental group of Galois cover of the (2,3)-embedding of \(\mathbb{CP}^1 \times T\). (English) Zbl 1477.14086
Reviewer: Piotr Pokora (Kraków)
On monodromy in families of elliptic curves over \(\mathbb{C}\). (English) Zbl 1458.14013
Reviewer: Vladimir P. Kostov (Nice)
The fundamental groups of Galois covers of planar Zappatic deformations of type \(E_k\). (English) Zbl 1423.14307
Reviewer: Piotr Pokora (Kraków)
Classifying (almost)-Belyi maps with five exceptional points. (English) Zbl 1423.33033
Reviewer: Lalit Mohan Upadhyaya (Mussoorie)
Arithmeticity of some monodromy groups. (English) Zbl 1435.22011
Cogdell, James W. (ed.) et al., Cohomology of arithmetic groups. On the occasion of Joachim Schwermer’s 66th birthday, Bonn, Germany, June 2016. Cham: Springer. Springer Proc. Math. Stat. 245, 289-304 (2018).
Reviewer: Balasubramanian Sury (Bangalore)
Braid monodromy computation of real singular curves. (English) Zbl 1427.14058
Reviewer: Vladimir P. Kostov (Nice)
Checkerboard graph monodromies. (English) Zbl 1419.57010
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M25
20F36
On the irreducibility of the space of Galois covers of curves of a given numerical type for certain split metacyclic groups. (English) Zbl 1400.14077
Reviewer: V. V. Chueshev (Kemerovo)
Three-dimensional representations of braid groups associated with some finite complex reflection groups. (English) Zbl 1469.32009
Homology graph of real arrangements and monodromy of Milnor fiber. (English) Zbl 1371.52021
Reviewer: Piotr Pokora (Kraków)
Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties. (English) Zbl 1360.14028
Reviewer: Vladimir P. Kostov (Nice)
Three-dimensional braids and their descriptions. (English) Zbl 1332.57023
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M25
On the zeroes of the Alexander polynomial of a Lorenz knot. (Sur les racines du polynome d’Alexander d’un nœud de Lorenz.) (English. French summary) Zbl 1332.57006
Reviewer: Dieter Erle (Dortmund)
On coverings with special points and monodromy group a Weyl group of type \(B_d\). (English) Zbl 1458.14045
Kummer covers and braid monodromy. (English) Zbl 1307.14039
Reviewer: Alexandru Dimca (Nice)
Topology of arrangements and position of singularities. (English. French summary) Zbl 1303.14061
Reviewer: Andras Nemethi (Budapest)
On the irreducibility of Hurwitz spaces of coverings with an arbitrary number of special points. (English) Zbl 1458.14043
Lefschetz fibrations, intersection numbers, and representations of the framed braid group. (English) Zbl 1299.14006
Irreducible components of Hurwitz spaces of coverings with two special fibers. (English) Zbl 1276.14046
Reviewer: Fabian Müller (Berlin)
Monodromy of partial KZ functors for rational Cherednik algebras. (English) Zbl 1302.20008
Iohara, Kenji (ed.) et al., Symmetries, integrable systems and representations. Proceedings of the conference on infinite analysis: frontier of integrability, Tokyo, Japan, July 25–29, 2011 and the conference on symmetries, integrable systems and representations, Lyon, France, December 13–16, 2011. London: Springer (ISBN 978-1-4471-4862-3/hbk; 978-1-4471-4863-0/ebook). Springer Proceedings in Mathematics & Statistics 40, 133-154 (2013).
Reviewer: Gwyn Bellamy (Glasgow)
8-point – regenerations and applications. (English) Zbl 1319.14011
Janeczko, Stanislaw (ed.) et al., Advances in geometric analysis. Collected papers of the workshop on geometry in honour of Shing-Tung Yau’s 60th birthday, Warsaw, Poland, April 6–8, 2009. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-248-0/pbk). Advanced Lectures in Mathematics (ALM) 21, 307-342 (2012).
Quantum and homological representations of braid groups. (English) Zbl 1284.32020
Björner, A. et al., Configuration spaces. Geometry, combinatorics and topology. Pisa: Edizioni della Normale (ISBN 978-88-7642-430-4/pbk; 978-88-7642-431-1/ebook). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 14, 355-372 (2012).
A note on coverings with special fibres and monodromy group \(S_{d}\). (English) Zbl 1258.14035
Reviewer: Lars Kindler (Berlin)
Topology of algebraic curves. An approach via dessins d’enfants. (English) Zbl 1273.14065
de Gruyter Studies in Mathematics 44. Berlin: de Gruyter (ISBN 978-3-11-025591-1/hbk; 978-3-11-025842-4/ebook). xvi, 393 p. (2012).
Reviewer: Ilia Itenberg (Paris)
On the irreducibility of Hurwitz spaces of coverings with two special fibers. (English) Zbl 1248.14037
Reviewer: Lidia Stoppino (Como)
Hurwitz spaces of coverings with two special fibers and monodromy group a Weyl group of type \(B_{d}\). (English) Zbl 1259.14031
Reviewer: Andrew Obus (New York)
Braid monodromies on proper curves and pro-\(\ell \) Galois representations. (English) Zbl 1279.14037
Reviewer: Jiuzu Hong (Tel Aviv)
Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities. (English) Zbl 1250.34072
Reviewer: Andrei A. Kapaev (Trieste)
Hurwitz equivalence of braid monodromies and extremal elliptic surfaces. (English) Zbl 1234.14030
Reviewer: Zsolt Patakfalvi (Princeton)
Bifurcation braid monodromy of plane curves. (English) Zbl 1238.32023
Ebeling, Wolfgang (ed.) et al., Complex and differential geometry. Conference held at Leibniz Universität Hannover, Germany, September 14–18, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-20299-5/hbk; 978-3-642-20300-8/ebook). Springer Proceedings in Mathematics 8, 235-255 (2011).
Reviewer: Jan Stevens (Göteborg)
Braid monodromy of algebraic curves. (English) Zbl 1254.32043
Reviewer: Piotr P. Karwasz (Gdańsk)
Braids in Pau – an introduction. (Tresses à Pau – une introduction.) (English. French summary) Zbl 1214.14001
A note on the topology of the complements of fiber-type line arrangements in \(\mathbb C\mathbb P^2\). (English) Zbl 1225.14045
Reviewer: Alexandru Dimca (Nice)
Moduli spaces and braid monodromy types of bidouble covers of the quadric. (English) Zbl 1213.14019
Reviewer: Stefan Schröer (Düsseldorf)
Geometric and algebraic significance of some Hurwitz stabilisers in \(\text{Br}_n\). (English) Zbl 1253.20035
Monodromy analysis of the computational power of the Ising topological quantum computer. (English) Zbl 1210.81016
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. VIII international workshop, Varna, Bulgaria, June 15–21, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0788-6/pbk). AIP Conference Proceedings 1243, 279-288 (2010).
Towards a non-linear Schwarz’s list. (English) Zbl 1217.34134
García-Prada, Oscar (ed.) et al., The many facets of geometry. A tribute to Nigel Hitchin. Oxford: Oxford University Press (ISBN 978-0-19-953492-0/hbk). 210-236 (2010).
Reviewer: Andrei A. Kapaev (Trieste)
Moduli spaces of surfaces and monodromy invariants. (English) Zbl 1264.14047
Akbulut, Selman (ed.) et al., Proceedings of the 16th Gökova geometry-topology conference, Gökova, Turkey, May 25–30, 2009. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (ISBN 978-1-57146-199-5/pbk; 978-1-57146-196-4/pbk). 58-98 (2010).
Reviewer: Eleonora Palmieri (Roma)
Braid monodromy of some Brieskorn-Pham singularities. (English) Zbl 1207.32025
Reviewer: Jan Stevens (Göteborg)
Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties. (English) Zbl 1200.14038
Reviewer: Alexandru Dimca (Nice)
Geometry of iterated integrals. (Hanpuku sekibun no kikagaku). (Japanese) Zbl 1305.26004
Tokyo: Springer (ISBN 978-4-431-70669-4). vii, 295 p. (2009).
Reviewer: Hirokazu Nishimura (Tsukuba)
Seidel-Smith cohomology for tangles. (English) Zbl 1187.53086
Reviewer: Andrzej Szczepański (Gdańsk)
Lagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups. (English. Russian original) Zbl 1196.57021
Izv. Math. 73, No. 4, 797-859 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 4, 153-224 (2009).
Reviewer: Mihai Damian (Strasbourg)
The fundamental group of the complement of the branch curve of the second Hirzebruch surface. (English) Zbl 1207.14017
Reviewer: Roberto Pignatelli (Trento)
Zariski \(k\)-plets via dessins d’enfants. (English) Zbl 1207.14034
Reviewer: Andrew Obus (New York)
Toric complexes and Artin kernels. (English) Zbl 1208.57002
Reviewer: Michael J. Falk (Flagstaff) (MR 2466422)
Monodromic quantum computing. (English) Zbl 1177.68091
MSC:
68Q05
81P68
Relations for the Alexander polynomial. (English. Russian original) Zbl 1177.57009
Russ. Math. Surv. 63, No. 3, 567-569 (2008); translation from Usp. Mat. Nauk 63, No. 3, 161-162 (2008).
Lifting of homeomorphisms to 4-sheeted branched coverings of a disk. (English) Zbl 1154.57002
Reviewer: Samyon R. Nasyrov (Kazan’)
MSC:
57M12
On fundamental groups related to the Hirzebruch surface \(F_{1}\). (English) Zbl 1152.14026
Reviewer: Alexandru Dimca (Nice)
The regeneration of a 5-point. (English) Zbl 1168.14022
Reviewer: Andrzej Lenarcik (Kielce)
A degree doubling formula for braid monodromies and Lefschetz pencils. (English) Zbl 1153.57018
Reviewer: Yong Seung Cho (Seoul)
Fundamental group of discriminant complements of Brieskorn-Pham polynomials. (English) Zbl 1127.32012
Reviewer: Tomohiro Okuma (Yamagata)
Fundamental groups of tangent conic-line arrangements with singularities up to order 6. (English) Zbl 1129.57001
Reviewer: Luigi Grasselli (Reggio Emilia)
Effective invariants of braid monodromy. (English) Zbl 1109.14013
Reviewer: Carlos Galindo (Castellon)
The Main Conjecture of modular towers and its higher rank generalization. (English) Zbl 1180.11020
Bertrand, Daniel (ed.) et al., Groupes de Galois arithmétique et différentiels. Paris: Société Mathématique de France (ISBN 978-2-85629-222-8/pbk). Séminaires et Congrès 13, 165-233 (2006).
Brief introduction to Painlevé VI. (English) Zbl 1173.34363
Bertrand, Daniel (ed.) et al., Groupes de Galois arithmétique et différentiels. Paris: Société Mathématique de France (ISBN 978-2-85629-222-8/pbk). Séminaires et Congrès 13, 69-77 (2006).
Reviewer: V. P. Lexin (Kolomna)
Variation of local systems and parabolic cohomology. (English) Zbl 1131.14016
Reviewer: Vladimir P. Kostov (Nice)
Covers of tori: genus two. (English) Zbl 1137.14017
Reviewer: Ali Ulaş Özgür Kişisel (Ankara)
Monodromy, vanishing cycles, knots and the adjoint quotient. (English) Zbl 1111.53070
Ellwood, David A. (ed.) et al., Floer homology, Gauge theory, and low-dimensional topology. Proceedings of the Clay Mathematics Institute 2004 summer school, Budapest, Hungary, June 5–26, 2004. Providence, RI: American Mathematical Society (AMS). Cambridge, MA: Clay Mathematics Institute (ISBN 0-8218-3845-8/pbk). Clay Mathematics Proceedings 5, 277-292 (2006).
Reviewer: Weiping Li (Stillwater)
A link invariant from the symplectic geometry of nilpotent slices. (English) Zbl 1108.57011
Reviewer: Hitoshi Murakami (Tokyo)
On bifurcation braid monodromy of elliptic fibrations. (English) Zbl 1099.14030
Reviewer: Paolo A. Oliverio (Rende)
MSC:
14J27
Discriminant method for the homological monodromy of tame polynomials. arXiv:math/0602297
Preprint, arXiv:math/0602297 [math.AG] (2006).
Casimir operators and monodromy representations of generalised braid groups. (English) Zbl 1130.17005
Reviewer: Ye Jiachen (Shanghai)
The 3-cuspidal quartic and braid monodromy of degree 4 coverings. (English) Zbl 1110.14037
Ciliberto, C. (ed.) et al., Projective varieties with unexpected properties. A volume in memory of Giuseppe Veronese. Proceedings of the international conference “Varieties with unexpected properties”, Siena, Italy, June 8–13, 2004. Berlin: Walter de Gruyter (ISBN 3-11-018160-6/hbk). 113-129 (2005).
Reviewer: Daniel Matei (Bucureşti)
Contact homology and one parameter families of Legendrian knots. (English) Zbl 1095.53059
Reviewer: Tobias Ekholm (Los Angeles)
MSC:
53D40
57M25
Enveloping monoidal quandles. (English) Zbl 1197.57022
MSC:
57Q45
20F36
A reducibility problem for monodromy of some surface bundles. (English) Zbl 1080.57021
Reviewer: Daciberg Gonçalves (São Paulo)
Regular homotopy of Hurwitz curves. (English. Russian original) Zbl 1071.14507
Izv. Math. 68, No. 3, 521-542 (2004); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 3, 91-114 (2004).
Braid monodromy and topology of plane curves. (English) Zbl 1058.14053
Reviewer: Mina Teicher (Ramat Gan)
An area-preserving action of the modular group on cubic surfaces and the Painlevé VI equation. (English) Zbl 1044.34051
Reviewer: Andrei A. Kapaev (St. Petersburg)
A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation. (English) Zbl 1058.34125
Reviewer: Andrei A. Kapaev (St. Petersburg)
A Kohno-Drinfeld theorem for quantum Weyl groups. (English) Zbl 1016.17010
Reviewer: Joaquin Jódar Reyes (Jaén)
Lifting braids. (English) Zbl 1001.57004
Reviewer: Lee P.Neuwirth (Princeton)
Quantization of bending deformations of polygons in \(\mathbb{E}^3\), hypergeometric integrals and the Gassner representation. (English) Zbl 1008.53073
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