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Uniruled Surfaces of General Type

Christian Liedtke
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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.

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Christian Liedtke. 2006-11-06. Uniruled Surfaces of General Type. https://arxiv.org/abs/math/0608604

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