EPW-sextics: taxonomy
Algebraic Geometry
2010-11-25 v2
Abstract
An EPW-sextic is a special 4-dimensional hypersurfaces of degree 6 which comes equipped with a double cover which generically is a Hyperkaehler 4-fold deformation equivalent to the Hilbert square of a K3 surface. The family of EPW-sextics is analogous to the family of cubic 4-fold hypersurfaces, more precisely double EPW-sextics are analogous to varieties of lines on cubic 4-folds. This first paper in a series on moduli and periods of double EPW-sextics is mainly concerned with the classification of EPW-sextics which are analogous to cubic 4-folds whose singular locus has strictly positive dimension.
Cite
@article{arxiv.1007.3882,
title = {EPW-sextics: taxonomy},
author = {Kieran G. O'Grady},
journal= {arXiv preprint arXiv:1007.3882},
year = {2010}
}
Comments
Improved exposition. Added a result which was only implicit in the first version. Removed Section 3