Unirational Surfaces on the Noether Line

Details Unirational Surfaces on the Noether Line Unirational Surfaces on the Noether Line

2008-05-26

arxiv.org/abs/0805.3986v3

Pacific J. Math. 239 (2009), 343-356

Mathematics

Algebraic Geometry

12 pages, 1 table; final version: corrected some typos, added details concerning Theorem 8, rephrased section 6

Scientific paper

We show that among simply connected surfaces of general type unirationality
is a common feature, even when fixing the positive characteristic or numerical
invariants. To do so, we construct unirational Horikawa surfaces in abundance.

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