The cone of pseudo-effective divisors of log varieties after Batyrev

Details The cone of pseudo-effective divisors of log varieties after Batyrev The cone of pseudo-effective divisors of log varieties after Batyrev

2005-02-09

arxiv.org/abs/math/0502174v2

Mathematics

Algebraic Geometry

15 pages. v2: Completely rewritten paper. Structure theorem for the cone of nef curves proved in arbitrary dimension using res

Scientific paper

10.1007/s00209-008-0457-8

In these notes we investigate the cone of nef curves of projective varieties, which is the dual cone to the cone of pseudo-effective divisors. We prove a structure theorem for the cone of nef curves of projective $\mathbb Q$-factorial klt pairs of arbitrary dimension from the point of view of the Minimal Model Program. This is a generalization of Batyrev's structure theorem for the cone of nef curves of projective terminal threefolds.

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