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Higher-Level Conformal Blocks Divisors on

Published online by Cambridge University Press:  16 January 2014

Valery Alexeev ,
Angela Gibney  and
David Swinarski
Valery Alexeev
Affiliation:
Department of Mathematics, The University of Georgia, Athens, GA 30602, USA (valery@math.uga.edu; agibney@math.uga.edu)
Angela Gibney
Affiliation:
Department of Mathematics, The University of Georgia, Athens, GA 30602, USA (valery@math.uga.edu; agibney@math.uga.edu)
David Swinarski
Affiliation:
Department of Mathematics, Lincoln Center Campus, Fordham University, New York, NY 10023, USA (dswinarski@fordham.edu)
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Abstract

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We study a family of semi-ample divisors on the moduli space of n-pointed genus 0 curves given by higher-level conformal blocks. We derive formulae for their intersections with a basis of 1-cycles, show that they form a basis for the Sn-invariant Picard group, and generate a full-dimensional subcone of the Sn-invariant nef cone. We find their position in the nef cone and study their associated morphisms.

Keywords

moduli spacevector bundlesconformal field theoryPrimary 14D2114E30Secondary 14D2281T40
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 1 , February 2014 , pp. 7 - 30
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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