Surfaces of general type with K-2=2 chi-1

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2015-03-13
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Werner, Caryn
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Werner 2015 Kyoto preprint.pdf (481.61 KB)
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http://hdl.handle.net/10456/38109
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Abstract
We classify minimal algebraic surfaces of general type having K2=2χ−1 and χ≥7. Such surfaces are regular with canonical map of degree one or two. If pg≥13, then the surface is a genus-two fibration; otherwise we use the canonical map to describe these surfaces as birational either to the canonical image or to a double cover of a rational surface.
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Faculty Scholarship and Open Access Collection
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Mathematics
Women's, Gender, & Sexuality Studies
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© 2015 by Kyoto University. Published by Duke University Press.
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Werner, Caryn. Surfaces of general type with K 2 = 2 χ − 1 . Kyoto J. Math. 55 (2015), no. 1, 29--41. doi:10.1215/21562261-2801876. http://projecteuclid.org/euclid.kjm/1426252129.
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Preprint
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Duke University Press
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