8 citations · 10 across the 7 of their papers we have counts for
7 papers
Degenerations of generalized Kummer varieties
Lars H. Halle, Klaus Hulek, Ziyu Zhang
We present a method to construct explicit degenerations of higher-dimensional generalized Kummer varieties. We start with a simple degeneration of abelian sur…
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…
Commutator coverings of Siegel threefolds
V. Gritsenko, K. Hulek
We investigate the existence and non-existence of modular forms of low weight with a character with respect to the paramodular group and discuss the resulting geometric conse…
Rational surfaces in P^4 containing a plane curve
Fabrizio Catanese, Klaus Hulek
The families of smooth rational surfaces in $\PP^4$ have been classified in degree . All known rational surfaces in $\PP^4$ can be represented as blow-ups of the plane $\PP…
Degenerations of abelian surfaces and Hodge structures
K. Hulek, J. Spandaw
In this paper the authors consider a certain toroidal compactification of the moduli space of degenerations of (1,p)-polarized abelian surfaces with (canonical) level structure. Us…
The Fundamental Group of Some Siegel Modular Threefolds
K. Hulek, G. K. Sankaran
Let A be the moduli space of (1,p)-polarised abelian surfaces with a level structure, for p an odd prime. Let X be a desingularisation of any algebraic compactification of A. Then…
Very ample linear systems on abelian varieties
O. Debarre, K. Hulek, J. Spandaw
Let be a polarized complex abelian variety of dimension where is a polarization of type . For genberic we prove the following: (1) If $d \ge g+…