Higher-level sl2 conformal blocks divisors on M̄o,n

Valery Alexeev, Angela Gibney, David Swinarski

Research output: Contribution to journalArticle

7 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)7-30
Number of pages24
JournalProceedings of the Edinburgh Mathematical Society
Issue number1
StatePublished - Feb 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


  • conformal field theory
  • moduli space
  • vector bundles

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