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Higher-Level Conformal Blocks Divisors on

Published online by Cambridge University Press:  16 January 2014

Valery Alexeev
Department of Mathematics, The University of Georgia, Athens, GA 30602, USA (;
Angela Gibney
Department of Mathematics, The University of Georgia, Athens, GA 30602, USA (;
David Swinarski
Department of Mathematics, Lincoln Center Campus, Fordham University, New York, NY 10023, USA (


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.

Research Article
Copyright © Edinburgh Mathematical Society 2014 

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