Uniruled Surfaces of General Type

Details Uniruled Surfaces of General Type Uniruled Surfaces of General Type

2006-08-24

arxiv.org/abs/math/0608604v2

Math. Z. 259, 775-797 (2008)

Mathematics

Algebraic Geometry

21 pages, some mistakes corrected and new pathologies !

Scientific paper

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.

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