Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties

Details Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties

2008-08-27

arxiv.org/abs/0808.3647v3

Compos. Math. 146 (2010), no. 1, 193-219

Mathematics

Algebraic Geometry

final version with improved exposition and several minor clarifications and corrections

Scientific paper

10.1112/S0010437X09004321

Given a p-form defined on the smooth locus of a normal variety, and a resolution of singularities, we study the problem of extending the pull-back of the p-form over the exceptional set of the desingularization. For log canonical pairs and for certain values of p, we show that an extension always exists, possibly with logarithmic poles along the exceptional set. As a corollary, it is shown that sheaves of reflexive differentials enjoy good pull-back properties. A natural generalization of the well-known Bogomolov-Sommese vanishing theorem to log canonical threefold pairs follows.

Affiliated with

Also associated with

No associations

Rating

Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-528355