An EPW-sextic is a special 4-dimensional hypersurfaces of degree 6 which comes equipped with a double cover which generically is a Hyperkähler 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-folds, more precisely double EPW-sextics are analogous to varieties of lines on cubic 4-folds. In this paper we are mainly concerned with the classification of EPW-sextics which are analogous to cubic 4-folds whose singular locus has strictly positive dimension. © 2011 Springer-Verlag.
EPW-sextics: Taxonomy / O'Grady, Kieran Gregory. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 138:1-2(2012), pp. 221-272. [10.1007/s00229-011-0472-7]
EPW-sextics: Taxonomy
O'GRADY, Kieran Gregory
2012
Abstract
An EPW-sextic is a special 4-dimensional hypersurfaces of degree 6 which comes equipped with a double cover which generically is a Hyperkähler 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-folds, more precisely double EPW-sextics are analogous to varieties of lines on cubic 4-folds. In this paper we are mainly concerned with the classification of EPW-sextics which are analogous to cubic 4-folds whose singular locus has strictly positive dimension. © 2011 Springer-Verlag.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
