34 citations · 180 across the 18 of their papers we have counts for
20 papers
Orbits of Jacobi forms and Theta relations
Valery Gritsenko, Haowu Wang
Jacobi theta functions with rational characteristics can be viewed as vector-valued Jacobi forms. Theta relations usually correspond to different constructions of certain Jacobi fo…
Elliptic genus and modular differential equations
Dmitrii Adler, Valery Gritsenko
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 e…
The D_8-tower of weak Jacobi forms and applications
Dmitry Adler, Valery Gritsenko
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…
Theta Blocks
Valery Gritsenko, Nils-Peter Skoruppa, Don Zagier
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…
Theta block conjecture for paramodular forms of weight 2
Valery Gritsenko, Haowu Wang
In this paper we construct an infinite family of paramodular forms of weight which are simultaneously Borcherds products and additive Jacobi lifts. This proves an important par…
Graded rings of integral Jacobi forms
Valery Gritsenko, Haowu Wang
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…