Non-annulation effective et positivit\'e locale des fibr\'es en droites amples adjoints
Algebraic Geometry
2007-10-15 v3
Abstract
We prove that Seshadri constants of some ample divisors are bigger than 1 on smooth threefolds whose anticanonical bundle is nef or on Fano varieties of small coindice. The main tools are (some known cases of) the Kawamata's effective non-vanishing conjecture and the adjunction theory. We prove the non-vanishing conjecture in dimension 3 in the case of line bundles of "high" volume using Kawamata's subadjunction formula.
Keywords
Cite
@article{arxiv.0707.4140,
title = {Non-annulation effective et positivit\'e locale des fibr\'es en droites amples adjoints},
author = {Amaël Broustet},
journal= {arXiv preprint arXiv:0707.4140},
year = {2007}
}
Comments
22 pages, in french, typos corrected