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

00925njm 22002777a 4500 dc Gallego Rodrigo, Francisco Javier author Gonzalez, M. author Purnaprajna, B.P. author 2016 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. 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 Deformations of canonical triple covers