On threefolds with K3=2pg−6

Kodai Mathematical Journal

Paola Supino¹ 

[1] DIPARTIMENTO DI SCIENZE MATEMATICHE UNIVERSITÀ POLITECHNICA DELLE MARCHE

关键词: Cartan geometry;    Cartan space form;    reductive model for a Cartan geometry;   

DOI  :  10.2996/kmj/1085143786

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(12)It is known that if X is an n-dimensional normal variety, and D a nef and big Cartier divisor on it such that the associated map φD is generically finite then Dn≥2(h0(X, \mathcal{O}X(D))−n). We study the case in which the equality holds for n=3 and D=KX is the canonical divisor.We also produce a bound for the admissible degree of the canonical map of a threefold, when it is supposed to be generically finite.

【 授权许可】

Unknown