Results 51 to 60 of about 221 (90)

Vector-valued modular forms and the Gauss map [PDF]

, 2017
We use the gradients of theta functions at odd two torsion points — thought of as vector-valued modular forms — to construct holomorphic differential forms on the moduli space of principally polarized abelian varieties, and to characterize the locus ...
Grushevsky, Samuel, Dalla Piazza, Francesco, Perna, Sara, Fiorentino, Alessio, Riccardo Salvati, Manni   +4 more
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The Kadomtsev -- Petviashvili equation and relations for the periods of holomorphic differentials on Riemann surfaces

, 1982
S. P. Novikov's conjecture that the relations between theta functions that follow from the nonlinear Kadomcev-Petviasvili equation, well known in mathematical physics, characterize the Jacobian varieties of Riemann surfaces among all abelian varieties is
Dubrovin, Boris
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A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]

Anal Math Phys, 2022
Piorkowski M, Teschl G.
europepmc   +1 more source

Cyclic Isogenies for Abelian Varieties with Real Multiplication

, 2017
International audienceWe study quotients of principally polarized abelian varieties with real multiplication by Galois-stable finite subgroups and describe when these quotients are principally polarizable.
Robert, Damien, Dudeanu, Alina, Jetchev, Dimitar, Vuille, Marius   +3 more
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Characterizations of Jacobians of curves with automorphisms [PDF]

, 2010
[EN] We obtain a characterization of theta functions of Jacobian vari eties of curves with automorphisms among theta functions of principally po larized abelian varieties (p.p.a.v.).
Rubí E. Rodríguez, Rodríguez, Rubí Elena, Munoz Porras, Jose M., Gómez González, Esteban, Plaza Martin, Francisco J., Rodriguez, Rubi E., Esteban Gómez González, José M. Muñoz Porras, Muñoz Porras, José María, Plaza Martín, Francisco José, Francisco J. Plaza Martín   +10 more
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Spektrale Eigenschaften von Spin^c-Dirac-Operatoren auf $T^3$, $S^1 × S^2$ und $S^3$ [PDF]

, 2010
Meier F. Spectral properties of Spin^c Dirac operators on $T^3$, $S^1 × S^2$ and $S^3$. Bielefeld (Germany): Bielefeld University; 2010.Wir berechnen das Spektrum und Eigenbasen für verschiedene Spin^c-Dirac-Operatoren auf den drei im Titel genannten ...
Meier, Fabian
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On Some Aspects of Abelian Varieties

, 2021
Abelian varieties are higher dimensional analogues of elliptic curves. By definition, an abelian variety is a complete connected group variety. It turns out the group law is commutative, and any abelian variety is projective.

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Chern-Dold character in complex cobordisms and theta divisors [PDF]

We show that the smooth theta divisors of general principally polarised abelian varieties can be chosen as irreducible algebraic representatives of the coefficients of the Chern-Dold character in complex cobordisms and describe the action of the ...
Victor Buchstaber (10952190), Alexander Veselov (1259028)   +1 more
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Theta functions on g-dimensional complex Tori - by Ola Khaled Daou

, 2009
Thesis (M.S.)--American University of Beirut, Dept. of Mathematics, 2009.;"Advisor : Dr. Kamal Khuri-Makdisi, Associate Professor, Dept. of Mathematics.--Member of Committee : Dr. Abdallah Lyzzaik, Professor, Dept.
Daou, Ola Khaled
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On algebra of theta functions

, 2007
This thesis consists of two parts. Both parts are about the algebra of theta functions. The first part is on the construction of the theta Hecke algebra, which contains both the graded algebra of theta functions and the Hecke algebra of the Heisenberg ...
Tam, Kam Fai
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