2026-06-07T23:45:02Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/246242025-09-01T13:35:14Zcom_20.500.14352_14col_20.500.14352_15

Gallego Rodrigo, Francisco Javier Gonzalez, M. 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 restricted access Deformations of canonical triple covers journal article