78 citations · 213 across the 15 of their papers we have counts for
15 papers
Antisymmetric paramodular forms of weight 3
Valery Gritsenko, Haowu Wang
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…
Abelianisation of orthogonal groups and the fundamental group of modular varieties
V. Gritsenko, K. Hulek, G. K. Sankaran
We study the commutator subgroup of integral orthogonal groups belonging to indefinite quadratic forms. We show that the index of this commutator is 2 for many groups that occur in…
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type
V. Gritsenko, K. Hulek, G. K. Sankaran
For many classical moduli spaces of orthogonal type there are results about the Kodaira dimension. But nothing is known in the case of dimension greater than 19. In this paper we o…
A Lecture about classification of Lorentzian Kac-Moody algebras of the rank three
Valeri A. Gritsenko, Viacheslav V. Nikulin
This is the announcement and partly the review of our results about classification of Lorentzian Kac-Moody algebras of the rank three. One of our results gives the classification o…
Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms
V. Gritsenko
In the paper we study two types of relations: a one is between the elliptic genus of Calabi-Yau manifolds and Jacobi modular forms, another one is between the second quantized elli…
The Modular Form of the Barth-Nieto Quintic
V. Gritsenko, K. Hulek
Barth and Nieto have found a remarkable quintic threefold which parametrizes Heisenberg invariant Kummer surfaces which belong to abelian surfaces with a (1,3)-polarization and a l…