Found 519 Documents (Results 1–100)
Nonvanishing of \(L\)-function of some Hecke characters on cyclotomic fields. (English) Zbl 07921102
O’Grady spaces and symplectic resolution of moduli spaces of Higgs bundles. (English) Zbl 07915458
Gothen, Peter (ed.) et al., Moduli spaces and vector bundles – new trends. VBAC 2022 conference in honor of Peter Newstead’s 80th birthday, University of Warwick, Coventry, United kingdom, July 25–29, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 803, 171-198 (2024).
A family of integrable maps associated with the Volterra lattice. (English) Zbl 07896367
Reviewer: William J. Satzer Jr. (St. Paul)
The cyclicity of a class of quadratic reversible systems with hyperelliptic curves. (English) Zbl 07863177
Reviewer: Joan C. Artés (Barcelona)
Genus \(2\) curves with bad reduction at one odd prime. (English) Zbl 07843742
Reviewer: Andrea Bandini (Pisa)
Continued fractions and the classification problem for elliptic fields over quadratic fields of constants. (English. Russian original) Zbl 1532.11093
Math. Notes 114, No. 6, 1195-1211 (2023); translation from Mat. Zametki 114, No. 6, 873-893 (2023).
Factoring integers and oracles for elliptic and hyperelliptic curves. (English) Zbl 1534.11143
Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 27-40 (2023).
On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields. (English. Russian original) Zbl 1532.11096
Dokl. Math. 108, No. 2, 382-386 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 66-70 (2023).
Realizations of unisingular representations by hyperelliptic Jacobians. (English) Zbl 1540.11070
Reviewer: Dimitros Poulakis (Thessaloniki)
Imaginary quadratic integral points on a hyperelliptic curve of certain type. (English) Zbl 1534.11040
Reviewer: Dimitros Poulakis (Thessaloniki)
Galois \(E_6\)-bundles over a hyperelliptic algebraic curve. (English) Zbl 1534.14027
Reviewer: Aigli Papantonopoulou (Ewing)
2-Selmer groups of even hyperelliptic curves over function fields. (English) Zbl 1526.11032
Reviewer: Dimitros Poulakis (Thessaloniki)
Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class. (English) Zbl 1527.11054
Reviewer: Dimitros Poulakis (Thessaloniki)
Algebro-geometric constructions of a hierarchy of integrable semi-discrete equations. (English) Zbl 1509.37096
On the Jacobian of a family of hyperelliptic curves. (English) Zbl 1514.11041
Reviewer: Dimitros Poulakis (Thessaloniki)
Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication. (English) Zbl 1507.14044
Reviewer: Tony Ezome (Libreville)
Representations of divisors on hyperelliptic curves and plane curves with quasi-toric relations. (English) Zbl 1535.14066
Reviewer: Dimitros Poulakis (Thessaloniki)
Möbius transformations and characterizations of hyper-bent functions from Dillon-like exponents with coefficients in extension fields. (English) Zbl 1528.94130
Reviewer: Ayça Çeşmelioğlu (İstanbul)
On the number of points on the curve \(y^2 = x^7 + ax^4 + bx\) over a finite field. (Russian. English summary) Zbl 1505.11094
Linear complexity of sequences on Koblitz curves of genus 2. (English) Zbl 1522.11052
Reviewer: Cherng-tiao Perng (Norfolk)
Galois quotients of tropical curves and invariant linear systems. (English) Zbl 1507.14085
Reviewer: Felix Röhrle (Frankfurt am Main)
Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields. (English) Zbl 1511.11060
Reviewer: Dimitros Poulakis (Thessaloniki)
On the parametrization of hyperelliptic fields with \(S\)-units of degrees 7 and 9. (English. Russian original) Zbl 1517.11083
Math. Notes 112, No. 3, 451-457 (2022); translation from Mat. Zametki 112, No. 3, 444-452 (2022).
Reviewer: Vijay Yadav (Virar)
Pell-Abel equation and applications. (Équation de Pell-Abel et applications.) (French. English summary) Zbl 1504.30055
Ranks in the family of hyperelliptic Jacobians of \(y^2= x^5+ax\). II. (English) Zbl 1497.11159
Reviewer: Maciej Ulas (Kraków)
Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English) Zbl 1484.11141
Implementation of point-counting algorithms on genus 2 hyperelliptic curves based on the birthday paradox. (English) Zbl 07510667
Relationships between hyperelliptic functions of genus 2 and elliptic functions. (English) Zbl 1481.14057
Reviewer: Ahmed Lesfari (El Jadida)
HECC (hyperelliptic curve cryptography). (English) Zbl 1504.94184
Bin Ahmad, Khairol Amali (ed.) et al., Functional encryption. Cham: Springer. EAI/Springer Innov. Commun. Comput., 59-78 (2021).
Jacobian varieties of hyperelliptic curves over finite fields with the formal structure of the mixed type. (English) Zbl 1497.11161
Reviewer: Noriko Yui (Kingston)
Algebro-geometric constructions of the Heisenberg hierarchy. (English) Zbl 07486817
Int. J. Nonlinear Sci. Numer. Simul. 22, No. 6, 685-703 (2021); retraction note ibid. 23, No. 2, 311 (2022).
Lefschetz fibrations. (English. Japanese original) Zbl 1480.57020
Sugaku Expo. 34, No. 2, 175-204 (2021); translation from Sūgaku 69, No. 2, 157-180 (2017).
Thomae-Weber formula: algebraic computations of theta constants. (English) Zbl 1496.14029
Reviewer: Christophe Ritzenthaler (Rennes)
The rationality of the moduli space of two-pointed ineffective spin hyperelliptic curves. (English) Zbl 1486.14042
Reviewer: Emilia Mezzetti (Trieste)
Continued fractions and Hankel determinants from hyperelliptic curves. (English) Zbl 1485.39030
Reviewer: Ahmed Lesfari (El Jadida)
Space curves, \(X\)-ranks and cuspidal projections. (English) Zbl 1476.14066
Reviewer: Scott Nollet (Fort Worth)
Fast scalar multiplication of degenerate divisors for hyperelliptic curve cryptosystems. (English) Zbl 1510.11120
Motivic rhythms. (English) Zbl 1480.00037
Reviewer: Andreas Bender (Pavia)
Translating the discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves with \((\ell ,\ell ,\ell)\)-isogenies. (English) Zbl 1467.14107
Two-descent on some genus two curves. (English) Zbl 1480.11082
Reviewer: Francesc Bars Cortina (Bellaterra)
An inverse Jacobian algorithm for Picard curves. (English) Zbl 1482.14035
Reviewer: Cherng-tiao Perng (Norfolk)
Affine variety codes over a hyperelliptic curve. (English. Russian original) Zbl 1492.94216
Probl. Inf. Transm. 57, No. 1, 84-97 (2021); translation from Probl. Peredachi Inf. 57, No. 1, 96-111 (2021).
Reviewer: Matteo Bonini (Aalborg)
MSC:
94B27
Ranks in the family of hyperelliptic Jacobians of \(y^2=x^5+ax\). (English) Zbl 1468.11135
Reviewer: Maciej Ulas (Kraków)
Calculation of divisors on a hyperelliptic curve and their applications in Python programming language. (Ukrainian. English summary) Zbl 07877821
A family of subfield hyperelliptic curves for use in cryptography. (English) Zbl 1515.94069
Meng, Weizhi (ed.) et al., Information and communications security. 22nd international conference, ICICS 2020, Copenhagen, Denmark, August 24–26, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12282, 543-561 (2020).
The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English) Zbl 1483.37075
Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020).
Division polynomials for hyperelliptic curves defined by Dickson polynomials. (English) Zbl 1470.11173
Genus 3 hyperelliptic curves with CM via Shimura reciprocity. (English) Zbl 1457.11093
Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 161-178 (2020).
Periodic and quasi-periodic solutions of Toda lattice via hyperelliptic \(\sigma\) functions. (Japanese. English summary) Zbl 1455.14066
Dehn twist presentations of hyperelliptic periodic diffeomorphisms on closed surfaces. (English) Zbl 1459.57021
Reviewer: Elif Medetoğulları (Ankara)
Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves. (English. French summary) Zbl 1475.11120
Reviewer: Ana María Botero (Regensburg)
On quaternion algebras split by a given extension, Clifford algebras and hyperelliptic curves. (English) Zbl 1464.16012
Reviewer: Danail Brezov (Sofia)
Gaps between divisible terms in \(a^2(a^2 + 1)\). (English) Zbl 1468.11196
Bull. Aust. Math. Soc. 101, No. 3, 396-400 (2020); correction ibid. 103, No. 1, 176 (2021).
The moduli space of real vector bundles of rank two over a real hyperelliptic curve. (English) Zbl 1445.14052
Computing isogenies between Jacobians of curves of genus 2 and 3. (English) Zbl 1433.14043
Reviewer: Tony Ezome (Libreville)
Bielliptic intermediate modular curves. (English) Zbl 1436.11064
Reviewer: Noburo Ishii (Kyoto)
Fast Jacobian arithmetic for hyperelliptic curves of genus 3. (English) Zbl 1516.14061
Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 425-442 (2019).
Hyperbolic ordinariness of hyperelliptic curves of lower genus in characteristic three. (English) Zbl 1440.14129
Jacobian versus infrastructure in split hyperelliptic curves. (English) Zbl 1442.14101
Gueye, Cheikh Thiecoumba (ed.) et al., Algebra, codes and cryptology. Proceedings of the first international conference, A2C 2019, in honor of Prof. Mamadou Sanghare, Dakar, Senegal, December 5–7, 2019. Cham: Springer. Commun. Comput. Inf. Sci. 1133, 183-203 (2019).
On monodromy in families of elliptic curves over \(\mathbb{C}\). (English) Zbl 1458.14013
Reviewer: Vladimir P. Kostov (Nice)
Constructing hyperelliptic covers for elliptic curves over quadratic extension fields. (English) Zbl 1439.94030
Jang-Jaccard, Julian (ed.) et al., Information security and privacy. 24th Australasian conference, ACISP 2019, Christchurch, New Zealand, July 3–5, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11547, 630-638 (2019).
On the module structure of the center of hyperelliptic Krichever-Novikov algebras. II. (English) Zbl 1430.22024
Reviewer: Volodymyr Mazorchuk (Uppsala)
Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex. (English) Zbl 1472.57018
Reviewer: Eugene Xia (Tainan)
Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two. (Limite autonome des équations 4-dimensionnelles de type Painlevé et la dégénérescence des courbes de genre deux.) (English. French summary) Zbl 1416.34078
Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem. (English) Zbl 1441.11160
Computing integral points on genus 2 curves estimating hyperelliptic logarithms. (English) Zbl 1443.11121
Reviewer: Francesc Bars Cortina (Bellaterra)
Hyperelliptic curves on \((1,4)\)-polarised abelian surfaces. (English) Zbl 1423.14205
Reviewer: G. K. Sankaran (Bath)
On reducible degeneration of hyperelliptic curves and soliton solutions. (English) Zbl 1414.37031
Reviewer: Ahmed Lesfari (El Jadida)
Graphical representation of maximal groups of genus two and their hyperelliptic curves. (English) Zbl 1429.20034
Bäcklund transformations and new integrable systems on the plane. (English) Zbl 1428.37056
Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 47-74 (2018).
Reviewer: William J. Satzer Jr. (St. Paul)
Integrable systems of algebraic origin and separation of variables. (English. Russian original) Zbl 1420.14076
Funct. Anal. Appl. 52, No. 4, 316-320 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 94-98 (2018).
Reviewer: Ahmed Lesfari (El Jadida)
The \(a\)-number of hyperelliptic curves. (English) Zbl 1445.11052
Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry. Proceedings of the 2nd conference, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer. Assoc. Women Math. Ser. 11, 107-116 (2018).
Cohomological invariants of genus three hyperelliptic curves. (English) Zbl 1401.14069
Reviewer: Dawei Chen (Chestnut Hill)
An algebraic construction of a solution to the mean field equations on hyperelliptic curves and its adiabatic limit. (English) Zbl 1400.14087
Reviewer: Ahmed Lesfari (El Jadida)
Prym varieties of étale covers of hyperelliptic curves. (English) Zbl 1400.14083
Reviewer: V. V. Chueshev (Kemerovo)
Factoring \(n\) and the number of points of Kummer hypersurfaces \(\bmod n\). (English) Zbl 1423.11206
Kaczorowski, Jerzy (ed.) et al., Number-theoretic methods in cryptology. First international conference, NuTMiC 2017, Warsaw, Poland, September 11–13, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10737, 163-177 (2018).
On rational points of certain affine hypersurfaces. (English) Zbl 1441.11071
Reviewer: Detlev Hoffmann (Dortmund)
An explicit theory of heights for hyperelliptic Jacobians of genus three. (English) Zbl 1406.14023
Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 665-715 (2017).
Reviewer: V. V. Chueshev (Kemerovo)
Improved structured blind multisignature schemes based on hyperelliptic curves. (Chinese. English summary) Zbl 1399.94078
qDSA: small and secure digital signatures with curve-based Diffie-Hellman key pairs. (English) Zbl 1380.94119
Takagi, Tsuyoshi (ed.) et al., Advances in cryptology – ASIACRYPT 2017. 23rd international conference on the theory and applications of cryptology and information security, Hong Kong, China, December 3–7, 2017. Proceedings. Part II. Cham: Springer (ISBN 978-3-319-70696-2/pbk; 978-3-319-70697-9/ebook). Lecture Notes in Computer Science 10625, 273-302 (2017).
MSC:
94A60
Elliptic subcovers of hyperelliptic curves. (English) Zbl 1388.14089
Reviewer: Sungkon Chang (Savannah)
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