2026-06-07T23:46:40Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/246242025-09-01T13:35:14Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Gallego Rodrigo, Francisco Javier
author
Gonzalez, M.
author
Purnaprajna, B.P.
2023-06-18T06:56:14Z
2023-06-18T06:56:14Z
2016
0021-8693
10.1016/j.jalgebra.2016.06.015
https://hdl.handle.net/20.500.14352/24624
http://doi.org/10.1016/j.jalgebra.2016.06.015
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.
eng
Deformations of canonical triple covers
journal article
URL
https://docta.ucm.es/bitstreams/76d8bca1-7b61-4af8-a57c-9684ba02a340/download
File
MD5
5e58bd891815adb08bbfd07e1a7cf6e9
133236
application/pdf
Gallego18libre.pdf
URL
https://docta.ucm.es/bitstreams/500bd0c0-3a97-487a-a3f5-afbece548015/download
File
MD5
973d301a31b57f2598aa2a526fd1b542
303226
application/pdf
Gallego18.pdf