Frobenius Push-Forwards on Quadrics
Algebraic Geometry
2010-05-05 v1 Commutative Algebra
Abstract
We generalize, explain and simplify Langer's results concerning Frobenius direct images of line bundles on quadrics, describing explicitly the decompositions of higher Frobenius push-forwards of arithmetically Cohen-Macaulay bundles into indecomposables, with an additional emphasis on the case of characteristic two. These results are applied to check which Frobenius push-forwards of the structure sheaf are tilting.
Keywords
Cite
@article{arxiv.1005.0594,
title = {Frobenius Push-Forwards on Quadrics},
author = {Piotr Achinger},
journal= {arXiv preprint arXiv:1005.0594},
year = {2010}
}