Effective bounds on singular surfaces in positive characteristic
Algebraic Geometry
2016-10-28 v3
Abstract
Using the theory of Frobenius singularities, we show that 13mK_X + 45mA is very ample for an ample Cartier divisor A on a Kawamata log terminal surface X with Gorenstein index m, defined over an algebraically closed field of characteristic p>5.
Cite
@article{arxiv.1510.08885,
title = {Effective bounds on singular surfaces in positive characteristic},
author = {Jakub Witaszek},
journal= {arXiv preprint arXiv:1510.08885},
year = {2016}
}
Comments
v3: some proofs simplified and shortened (thanks to the referee), to appear in the Michigan Mathematical Journal