The Verlinde traces for $\mathcal{SU}_{X}(2,��)$ and blow-ups
| Autor: | Moreno-Mej��a, I., Silva-L��pez, D. |
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| Rok vydání: | 2020 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2001.01048 |
| Popis: | Given a compact Riemann surface $X$ of genus at least $2$ with automorphism group $G$ we provide formulae that enable us to compute traces of automorphisms of X on the space of global sections of $G$-linearized line bundles defined on certain blow-ups of proyective spaces along the curve $X$. The method is an adaptation of one used by Thaddeus to compute the dimensions of those spaces. In particular we can compute the traces of automorphisms of $X$ on the Verlinde spaces corresponding to the moduli space $SU_{X}(2,��)$ when $��$ is a line bundle $G$-linearized of suitable degree. 26 pages |
| Databáze: | OpenAIRE |
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