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

Werner, Caryn

doi:10.1215/21562261-2801876

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

Persistent URL

http://hdl.handle.net/10456/38109

Author(s)

Werner, Caryn

Date Issued

March 13, 2015

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.

Journal

Kyoto Journal of Mathematics

Department

Mathematics

Women's, Gender, & Sexuality Studies

Citation

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.

Publisher

Duke University Press

Version of Article

Preprint

DOI

10.1215/21562261-2801876

ISSN

2156-2261

2154-3321

Rights

File(s)

Name

Werner 2015 Kyoto preprint.pdf

Description

Preprint

Size

481.61 KB

Format

Adobe PDF

Checksum (MD5)

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