Uniruled surfaces of general type

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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.

Original languageEnglish
Pages (from-to)775-797
Number of pages23
JournalMathematische Zeitschrift
Issue number4
StatePublished - Aug 2008
Externally publishedYes


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