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2016 Extremality of loci of hyperelliptic curves with marked Weierstrass points
Dawei Chen, Nicola Tarasca
Algebra Number Theory 10(9): 1935-1948 (2016). DOI: 10.2140/ant.2016.10.1935

Abstract

The locus of genus-two curves with n marked Weierstrass points has codimension n inside the moduli space of genus-two curves with n marked points, for n6. It is well known that the class of the closure of the divisor obtained for n=1 spans an extremal ray of the cone of effective divisor classes. We generalize this result for all n: we show that the class of the closure of the locus of genus-two curves with n marked Weierstrass points spans an extremal ray of the cone of effective classes of codimension n, for n6. A related construction produces extremal nef curve classes in moduli spaces of pointed elliptic curves.

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Dawei Chen. Nicola Tarasca. "Extremality of loci of hyperelliptic curves with marked Weierstrass points." Algebra Number Theory 10 (9) 1935 - 1948, 2016. https://doi.org/10.2140/ant.2016.10.1935

Information

Received: 9 November 2015; Revised: 17 June 2016; Accepted: 10 September 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1354.14048
MathSciNet: MR3576115
Digital Object Identifier: 10.2140/ant.2016.10.1935

Subjects:
Primary: 14H99
Secondary: 14C99

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.10 • No. 9 • 2016
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