On a Conjecture of Drinfeld
| Autor: | Pal, Sarbeswar |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $C$ be smooth irreducible projective curve of genus $g \ge 2$. Let $\mathcal{M}_C(n, \delta)$ be moduli space of stable vector bundles on $C$ of rank $n$ and fixed determinant $\delta$ of degree $d$. Then the locus of wobbly bundles are known to be closed in $\mathcal{M}_C(n, \delta)$. Drinfeld has conjectured that the wobbly locus is pure of co-dimension one, i.e., they form a divisor in $\mathcal{M}_C(n, \delta)$. In this article, we will give a prove of the conjecture. Comment: some error has been corrected |
| Databáze: | arXiv |
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