RT Journal Article
T1 Degenerations of K3 surfaces in projective space
A1 Gallego Rodrigo, Francisco Javier
A1 Purnaprajna, Bangere P.
AB A K3 carpet S is a double structure on a rational normal scroll such that its dualizing sheaf is trivial and h1(OS) = 0. In this note the authors show that every K3 carpet S can be smoothed, i.e. there exists a flat family over a smooth curve with smooth generic fiber and with a special closed fiber isomorphic top S. Moreover, they study the Hilbert scheme of numerical K3 surfaces at the locus parametrizing K3 carpets, characterizing those K3 carpets whose corresponding Hilbert point is smooth. The proof is based on the properties of the hyperelliptic linear systems on K3 surfaces.
PB American Mathematical Society
SN 1088-6850
YR 1997
FD 1997-06
LK https://hdl.handle.net/20.500.14352/57050
UL https://hdl.handle.net/20.500.14352/57050
LA eng
NO First published in Transactions of the American Mathematical Society in Volume 349, Number 6, June 1997, published by the American Mathematical Society
DS Docta Complutense
RD 20 may 2024