28 citations · 28 across the 2 of their papers we have counts for
4 papers · 1 filter
24 faces of the Borcherds modular form Phi_{12}
Valery Gritsenko
The fake monster Lie algebra is determined by the Borcherds function Phi_{12} which is the reflective modular form of the minimal possible weight with respect to O(II_{2,26}). We p…
Uniruledness of orthogonal modular varieties
Valery Gritsenko, Klaus Hulek
A strongly reflective modular form with respect to an orthogonal group of signature (2,n) determines a Lorentzian Kac--Moody algebra. We find a new geometric application of such mo…
Moduli spaces of polarised symplectic O'Grady varieties and Borcherds products
V. Gritsenko, K. Hulek, G. K. Sankaran
We study moduli spaces of O'Grady's ten-dimensional irreducible symplectic manifolds. These moduli spaces are covers of modular varieties of dimension 21, namely quotients of hermi…
Reflective modular forms in algebraic geometry
Valery Gritsenko
We prove that the existence of a strongly reflective modular form of a large weight implies that the Kodaira dimension of the corresponding modular variety is negative or, in some…