Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities

Details Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities

2010-12-29

arxiv.org/abs/1012.5940v2

Math. Res. Lett. 18 (2011), no. 6, 1259 - 1269

Mathematics

Algebraic Geometry

12 pages;v2: references updated, Prop. 8 slightly improved

Scientific paper

We give a criterion for the sheaf of K\"ahler differentials on a cone over a smooth projective variety to be torsion-free. Applying this to Veronese embeddings of projective space and using known results on differentials on quotient singularities we show that even for mild, e.g. Gorenstein terminal, singularities the sheaf of K\"ahler differentials will in general have torsion and cotorsion.

Affiliated with

Also associated with

No associations

Rating

Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities 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 Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610908