RT Journal Article
T1 Deformations of canonical triple covers
A1 Gallego Rodrigo, Francisco Javier
A1 Gonzalez, M.
A1 Purnaprajna, B.P.
AB In this paper, we show that if X is a smooth variety of general type of dimension m≥3 for which the canonical map induces a triple cover onto Y, where Y is a projective bundle over P1 or onto a projective space or onto a quadric hypersurface, embedded by a complete linear series (except Q3 embedded in P4), then the general deformation of the canonical morphism of X is again canonical and induces a triple cover. The extremal case when Y is embedded as a variety of minimal degree is of interest, due to its appearance in numerous situations. For instance, by looking at threefolds Y of minimal degree we find components of the moduli of threefolds X of general type with KX3=3pg−9,KX3≠6, whose general members correspond to canonical triple covers. Our results are especially interesting as well because they have no lower dimensional analogues.
PB Academic Press Inc.
SN 00218693
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24624
UL https://hdl.handle.net/20.500.14352/24624
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Universidad Complutense de Madrid
NO National Science Foundation (NSF)
DS Docta Complutense
RD 8 abr 2025