Frobenius Push-Forwards on Quadrics

Details Frobenius Push-Forwards on Quadrics Frobenius Push-Forwards on Quadrics

2010-05-04

arxiv.org/abs/1005.0594v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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