Found 195 Documents (Results 1–100)
Action of the automorphism group on the Jacobian of Klein’s quartic curve. II: Invariant theta functions. (English) Zbl 07885169
Elliptic normal curves of even degree and theta functions. (English) Zbl 07881681
Reviewer: Takashi Ichikawa (Saga)
Invariants of vanishing Brauer classes. (English) Zbl 07875606
Reviewer: Dino Festi (Milano)
\(\mathrm{Sp}(6, Z)\) modular symmetry in flavor structures: quark flavor models and Siegel modular forms for \(\widetilde{\Delta}(96)\). (English) Zbl 07865615
MSC:
81-XX
Siegel modular forms of degree three and invariants of ternary quartics. (English) Zbl 1539.14104
Reviewer: Takashi Ichikawa (Saga)
Kummer quartic surfaces, strict self-duality, and more. (English) Zbl 1530.14064
Dedieu, Thomas (ed.) et al., The art of doing algebraic geometry. Cham: Birkhäuser. Trends Math., 55-92 (2023).
Cyclic products of Szegö kernels and spin structure sums. I: Hyper-elliptic formulation. (English) Zbl 07701888
Bounding integral points on the Siegel modular variety \(A_2(2)\). (English) Zbl 1523.11108
Reviewer: Lei Yang (Beijing)
Computing the 2-adic canonical lift of genus 2 curves. (English) Zbl 1497.14047
Giri, Debasis (ed.) et al., Proceedings of the seventh international conference on mathematics and computing, ICMC 2021, Shibpur, India, March 2–5, 2021. Singapore: Springer. Adv. Intell. Syst. Comput. 1412, 637-672 (2022).
Schwarz’s map for Appell’s second hypergeometric system with quarter integer parameters. (English) Zbl 1486.14045
Reviewer: Shaul Zemel (Jerusalem)
Two-loop superstring five-point amplitudes. III: Construction via the RNS formulation: even spin structures. (English) Zbl 1521.81218
Moduli spaces of abstract and embedded Kummer varieties. (English) Zbl 1486.14019
Reviewer: Jayan Mukherjee (Providence)
On the Schottky problem for genus five Jacobians with a vanishing theta null. (English) Zbl 1475.14056
Reviewer: Shaul Zemel (Jerusalem)
Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions. (English) Zbl 1456.83026
Two-loop superstring five-point amplitudes. I: Construction via chiral splitting and pure spinors. (English) Zbl 1454.83159
\(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space. IV: The structure of the invariant. (English) Zbl 1479.14044
Reviewer: Noriko Yui (Kingston)
\(K3\) surfaces with involution and analytic torsion. (English. Japanese original) Zbl 1446.32001
Sugaku Expo. 33, No. 1, 85-109 (2020); translation from Sūgaku 68, No. 3, 225-245 (2016).
On Frobenius’ theta formula. (English) Zbl 1440.14161
Computing isogenies between Jacobians of curves of genus 2 and 3. (English) Zbl 1433.14043
Reviewer: Tony Ezome (Libreville)
The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties. (English) Zbl 1430.14019
Reviewer: Nathan Grieve (East Lansing)
Period map of Triple coverings of \(\text{P}^2\) and mixed Hodge structures. (English) Zbl 1435.32018
Reviewer: Makiko Mase (Mannheim)
From hyperelliptic to superelliptic curves. (English) Zbl 1431.14002
Reviewer: José Javier Etayo (Madrid)
Theta functions and a presentation of \(2^{1 +(2 g + 1)} \mathsf{Sp}(2 g, 2)\). (English) Zbl 1467.20007
Analytic and arithmetic properties of the \((\Gamma ,\chi )\)-automorphic reproducing kernel function and associated Hermite-Gauss series. (English) Zbl 1444.30019
Connecting Legendre with Kummer and Edwards. (English) Zbl 1409.14057
Reviewer: Dimitros Poulakis (Thessaloniki)
Kummer for genus one over prime order fields. (English) Zbl 1380.94105
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, 3-32 (2017).
An exercise(?) in Fourier analysis on the Heisenberg group. (English. French summary) Zbl 1369.60028
Plane quartics: the universal matrix of bitangents. (English) Zbl 1364.14027
Reviewer: Aigli Papantonopoulou (Ewing)
MSC:
14H50
The locus of plane quartics with a hyperflex. (English) Zbl 1364.14026
Reviewer: Aigli Papantonopoulou (Ewing)
Torsion points on theta divisors. (English) Zbl 1360.14114
Reviewer: V. V. Chueshev (Kemerovo)
Spin structures and entanglement of two disjoint intervals in conformal field theories. (English) Zbl 1456.81057
On the Möbius transformation in the entanglement entropy of fermionic chains. (English) Zbl 1456.82084
MSC:
82B20
Towards the entanglement negativity of two disjoint intervals for a one dimensional free fermion. (English) Zbl 1456.81056
MSC:
81P40
Arithmetic on abelian and Kummer varieties. (English) Zbl 1336.14030
Reviewer: V. V. Chueshev (Kemerovo)
Cubic modular equations in two variables. (English) Zbl 1331.11028
Reviewer: P. K. Banerji (Jodhpur)
Entanglement entropy and negativity of disjoint intervals in CFT: some numerical extrapolations. (English) Zbl 1456.81106
MSC:
81P45
Some classical problems in number theory via the theory of \(K3\) surfaces. (English) Zbl 1333.11038
Cartier, Pierre (ed.) et al., Mathematics in the 21st century. Selected papers based on the presentations at the 6th world conference on 21st century mathematics, Lahore, Pakistan, March 6–9, 2013. Basel: Springer (ISBN 978-3-0348-0858-3/hbk; 978-3-0348-0859-0/ebook). Springer Proceedings in Mathematics & Statistics 98, 163-179 (2015).
Reviewer: Matthias Schütt (Hannover)
On the Tannaka group attached to the theta divisor of a generic principally polarized abelian variety. (English) Zbl 1334.14019
Reviewer: G. K. Sankaran (Bath)
Topological methods in moduli theory. (English) Zbl 1375.14129
Reviewer: Roberto Pignatelli (Trento)
Affine stratification of \(\mathcal{A}_{4}\). (English) Zbl 1327.14137
Reviewer: Quentin Gendron (Hannover)
Analytic representations with theta functions for systems on \(\mathbb{Z}(d)\) and on \(\mathbb{S}\). (English) Zbl 1318.81026
Theta vocabulary. I. (English) Zbl 1318.33035
Computing \((\ell,\ell)\)-isogenies in polynomial time on Jacobians of genus \(2\) curves. (English) Zbl 1315.11103
A generalisation of Miller’s algorithm and applications to pairing computations on abelian varieties. (English) Zbl 1304.14056
Reviewer: Juan Tena Ayuso (Valladolid)
On Rényi entropies of disjoint intervals in conformal field theory. (English) Zbl 1456.82041
MSC:
82B10
On Jacobian Kummer surfaces. (English) Zbl 1318.14042
Reviewer: Herbert Lange (Erlangen)
Ax-Lindemann for \(\mathcal{A}_g\). (English) Zbl 1305.14020
Reviewer: Imin Chen (Burnaby)
On a ring of modular forms related to the theta gradients map in genus \(2\). (English) Zbl 1286.11072
Reviewer: Takeo Okazaki (Nara)
Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections. (English) Zbl 1300.14007
Reviewer: Alberto Collino (Torino)
On quantum mechanics with a magnetic field on \(\mathbb R^n\) and on a torus \(\mathbb T^n\), and their relation. (English) Zbl 1269.81040
The class of the locus of intermediate Jacobians of cubic threefolds. (English) Zbl 1272.14032
Reviewer: Herbert Lange (Erlangen)
Points of order two on theta divisors. (English) Zbl 1251.14031
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 3, 319-323 (2012).
Reviewer: Enric Nart Viñals (Barcelona)
Hyperelliptic integrals and generalized arithmetic-geometric mean. (English) Zbl 1260.14053
Reviewer: G. K. Sankaran (Bath)
Theta height and Faltings height. (Hauteur Thêta et hauteur de Faltings.) (English. French summary) Zbl 1245.14029
Reviewer: Shun Tang (Bonn)
The Picard group of the moduli space of curves with level structures. (English) Zbl 1241.30015
Reviewer: Bruno Zimmermann (Trieste)
Hessian \(K3\) surfaces of non-Sylvester type. (English) Zbl 1274.14045
Reviewer: Valentino Tosatti (Evanston)
Alternating groups and moduli space lifting invariants. (English) Zbl 1246.14035
Reviewer: Hiroaki Nakamura (Okayama)
On dimension formulas for Jacobi forms. (English) Zbl 1257.11048
Reviewer: Aloys Krieg (Aachen)
Adiabatic limits of \(\eta \)-invariants and the Meyer functions. (English) Zbl 1185.14026
Reviewer: Ismail Naci Cangül (Bursa)
Metaplectic operators for finite Abelian groups and \(\mathbb R^d\). (English) Zbl 1214.43012
Reviewer: Krzysztof Stempak (Wrocław)
Spectral extension of the quantum group cotangent bundle. (English) Zbl 1179.58003
Reviewer: Akira Asada (Takarazuka)
The arithmetic of characteristic 2 Kummer surfaces and of elliptic Kummer lines. (English) Zbl 1220.14023
MSC:
14J28
Siegel modular forms and their applications. (English) Zbl 1259.11051
Bruinier, Jan Hendrik et al., The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Berlin: Springer (ISBN 978-3-540-74117-6/pbk). Universitext, 181-245 (2008).
Jacobians with a vanishing theta-null in genus 4. (English) Zbl 1148.14014
Reviewer: Isidro Nieto Baños (Guanajuato)
Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean. (English) Zbl 1128.11026
Reviewer: Samuel James Patterson (Göttingen)
MSC:
11F55
On the varieties defined by Riemann-Mumford’s relations. (English) Zbl 1117.11028
Reviewer: Jannis A. Antoniadis (Iraklion)
MSC:
11F46
Dirac operator zero-modes on a torus. (English) Zbl 1192.81140
Reviewer: Hans-Bert Rademacher (Leipzig)
Linear forms of effective logaritms on abelian varieties. (Formes linéaires de logarithmes effectives sur les variétés abéliennes.) (French. English summary) Zbl 1111.11038
Reviewer: Michel Waldschmidt (Paris)
Fourier-Jacobi expansion of automorphic forms on \(\text{Sp}(1,q)\) generating quaternionic discrete series. (English) Zbl 1155.11328
Jacobi and modular forms on symmetric domains. (English) Zbl 1162.11340
Reviewer: G. K. Sankaran (Bath)
Complex curves of genus three, Kummer surfaces and Quillen metrics. (English) Zbl 1085.14031
Reviewer: Isidro Nieto Baños (Guanajuato)
Type II codes over \(\mathbb Z/2k\mathbb Z\), invariant rings and theta series. (English) Zbl 1082.94015
Reviewer: Hai Quang Dinh (Warren)
Slopes and abelian subvariety theorem. (English) Zbl 1080.11048
Reviewer: Vasyl I. Andriychuk (Lviv)
Fourier expansion of holomorphic modular forms on classical Lie groups of tube type along the minimal parabolic subgroup. (English) Zbl 1071.11025
Reviewer: J. G. M. Mars (Utrecht)
Computing Riemann theta functions. (English) Zbl 1092.33018
Reviewer: Emma Previato (Boston)
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