Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Gritsenko, Valery"'
Autor:
Gritsenko, Valery, Wang, Haowu
Jacobi theta functions with rational characteristics can be viewed as vector-valued Jacobi forms. Theta relations usually correspond to different constructions of certain Jacobi forms. From this observation, we extract a new approach, which is called
Externí odkaz:
http://arxiv.org/abs/2312.13864
Autor:
Adler, Dmitrii, Gritsenko, Valery
We study modular differential equations for the basic weak Jacobi forms in one abelian variable with applications to the elliptic genus of Calabi--Yau varieties. We show that the elliptic genus of any $CY_3$ satisfies a differential equation of degre
Externí odkaz:
http://arxiv.org/abs/2209.00038
Autor:
Adler, Dmitrii, Gritsenko, Valery
Publikováno v:
In Journal of Geometry and Physics December 2024 206
Autor:
Adler, Dmitrii, Gritsenko, Valery
Publikováno v:
In Journal of Geometry and Physics December 2023 194
Autor:
Adler, Dmitry, Gritsenko, Valery
We construct a tower of arithmetic generators of the bigraded polynomial ring J_{*,*}^{w, O}(D_n) of weak Jacobi modular forms invariant with respect to the full orthogonal group O(D_n) of the root lattice D_n for 2\le n\le 8. This tower corresponds
Externí odkaz:
http://arxiv.org/abs/1910.05226
We define theta blocks as products of Jacobi theta functions divided by powers of the Dedekind eta-function and show that they give a powerful new method to construct Jacobi forms and Siegel modular forms, with applications also in lattice theory and
Externí odkaz:
http://arxiv.org/abs/1907.00188
Autor:
Gritsenko, Valery, Wang, Haowu
The problem on the construction of antisymmetric paramodular forms of canonical weight 3 was open since 1998. Any cusp form of this type determines a canonical differential form on any smooth compactification of the moduli space of Kummer surfaces as
Externí odkaz:
http://arxiv.org/abs/1906.09869
Autor:
Gritsenko, Valery, Wang, Haowu
In this paper we construct an infinite family of paramodular forms of weight $2$ which are simultaneously Borcherds products and additive Jacobi lifts. This proves an important part of the theta-block conjecture of Gritsenko--Poor--Yuen (2013) relate
Externí odkaz:
http://arxiv.org/abs/1812.08698
Autor:
Gritsenko, Valery, Wang, Haowu
We determine the structure of the bigraded ring of weak Jacobi forms with integral Fourier coefficients. This ring is the target ring of a map generalising the Witten and elliptic genera and a partition function of $(0,2)$-model in string theory. We
Externí odkaz:
http://arxiv.org/abs/1810.09392