TY - JOUR
T1 - Scaling of conformal blocks and generalized theta functions over M¯ g , n
AU - Belkale, Prakash
AU - Gibney, Angela
AU - Kazanova, Anna
N1 - Funding Information:
P.B. was supported on NSF Grant DMS-0901249, and A.G. on DMS-1201268 and in part by DMS-1344994 (RTG in Algebra, Algebraic Geometry, and Number Theory, at UGA). We thank the anonymous referee for their time and thoughtful feedback.
Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - By way of intersection theory on 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.
AB - By way of intersection theory on 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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U2 - 10.1007/s00209-016-1682-1
DO - 10.1007/s00209-016-1682-1
M3 - Article
AN - SCOPUS:84966605893
VL - 284
SP - 961
EP - 987
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
SN - 0025-5874
IS - 3-4
ER -