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Uniruled surfaces of general type

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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 global 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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  1. Mathematisches Institut, Heinrich-Heine-Universität, 40225, Düsseldorf, Germany

    Christian Liedtke

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  1. Christian Liedtke
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Liedtke, C. Uniruled surfaces of general type. Math. Z. 259, 775–797 (2008). https://doi.org/10.1007/s00209-007-0248-7

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