Mathematische Zeitschrift

, Volume 284, Issue 3–4, pp 961–987 | Cite as

Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\)

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Abstract

By way of intersection theory on \(\overline{\mathcal {M}}_{g,n}\), we show that geometric interpretations for conformal blocks, as sections of ample line bundles over projective varieties, do not have to hold at points on the boundary. We show such a translation would imply certain recursion relations for first Chern classes of these bundles. While recursions can fail, geometric interpretations are shown to hold under certain conditions.

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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of North CarolinaChapel HillUSA
  2. 2.Department of MathematicsUniversity of GeorgiaAthensUSA

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