13 citations · 17 across the 4 of their papers we have counts for
4 papers
Modular differential equations of minimal orders of the elliptic genus of Calabi--Yau varieties
Dmitrii Adler, Valery Gritsenko
We study modular differential equations (MDEs) of high orders for weak Jacobi forms and find necessary conditions for weak Jacobi forms to satisfy MDEs of order 3 with respect to t…
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 structure of the algebra of weak Jacobi forms for the root system
Dmitrii Adler
We prove the polynomiality of the bigraded ring of weak Jacobi forms for the root system which are invariant with respect to the corresponding Weyl grou…
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…