Using the theory of adjoints and pluricanonical adjoints, we construct three nonsingular threefolds, as desingularizations of degree six hypersurfaces in \P^4, having the irregularities q_1=q_2=0 and the following periodical sequences of plurigenera respectively (p_g,P_2,P_3,...,P_m,...)=(0,0,1,0,0,1,...), (0,0,0,1,0,0,0,1,...), (0,0,0,0,1,0,0,0,0,1,...). In the Appendix, starting from the second above-mentioned example, we construct a threefold of general type with q_1=q_2=0, p_g=1, P_2=2 whose m-canonical transformation is birational if and only if m \geq 11.

Threefolds with Kodaira dimension 0 or 3

STAGNARO, EZIO
2007

Abstract

Using the theory of adjoints and pluricanonical adjoints, we construct three nonsingular threefolds, as desingularizations of degree six hypersurfaces in \P^4, having the irregularities q_1=q_2=0 and the following periodical sequences of plurigenera respectively (p_g,P_2,P_3,...,P_m,...)=(0,0,1,0,0,1,...), (0,0,0,1,0,0,0,1,...), (0,0,0,0,1,0,0,0,0,1,...). In the Appendix, starting from the second above-mentioned example, we construct a threefold of general type with q_1=q_2=0, p_g=1, P_2=2 whose m-canonical transformation is birational if and only if m \geq 11.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/1776710
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