Uniruled Surfaces of General Type
Algebraic Geometry
2008-05-27 v2
Abstract
We give a systematic construction of uniruled surfaces in positive characteristic. Using this construction, we find surfaces of general type with non-trivial vector fields, surfaces with arbitrarily non-reduced Picard schemes as well as surfaces with inseparable canonical maps. In particular, we show that some previously known pathologies are not sporadic but exist in abundance.
Cite
@article{arxiv.math/0608604,
title = {Uniruled Surfaces of General Type},
author = {Christian Liedtke},
journal= {arXiv preprint arXiv:math/0608604},
year = {2008}
}
Comments
21 pages, some mistakes corrected and new pathologies !