منابع مشابه
Correlation for Surfaces of General Type
This theorem has a number of geometric and number theoretic consequences that will be discussed in the final section of this paper. In particular, assuming Lang’s conjecture on rational points of varieties of general type, we can prove a uniform bound on the number of rational points on a surface of general type not contained in rational or elliptic curves. This theorem is a special case of the...
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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.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 1996
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-96-08504-x