Scaling of conformal blocks and generalized theta functions over $$overline{mathcal {M}}_{g,n}$$M¯g,n
Scaling of conformal blocks and generalized theta functions over $$overline{mathcal {M}}_{g,n}$$M¯g,n
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$$overline{mathcal {M}}_{g,n}$$M̶g,n 上的共形块和广义 theta 函数的缩放
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发表时间：
2016
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影响因子：
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通讯作者：
A. Kazanova
中科院分区：
文献类型：
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作者：
P. Belkale;A. Gibney;A. Kazanova
利用$$overline{mathcal{M}}_{g，n}$$M‘g，n上的交集理论，证明了共形块作为射影簇上的充分线丛的截面，其几何解释不必在边界上的点成立。我们证明了这样的平移将意味着这些丛的第一个陈类的某些递归关系。虽然递归可能会失败，但几何解释在某些条件下是成立的。
By way of intersection theory on $$overline{mathcal {M}}_{g,n}$$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.