Stability of restrictions of cotangent bundles of irreducible Hermitian symmetric spaces of compact type
Autor: | Biswas, Indranil, Chaput, Pierre-Emmanuel, Mourougane, Christophe |
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Rok vydání: | 2015 |
Předmět: | |
Zdroj: | Pub. Res. Inst. Math. Sci. 55-2 (2019) 283-318 |
Druh dokumentu: | Working Paper |
DOI: | 10.4171/PRIMS/55-2-3 |
Popis: | It is known that the cotangent bundle $\Omega_Y$ of an irreducible Hermitian symmetric space $Y$ of compact type is stable. Except for a few obvious exceptions, we show that if $X \subset Y$ is a complete intersection such that $Pic(Y) \to Pic(X)$ is surjective, then the restriction $\Omega_{Y|X}$ is stable. We then address some cases where the Picard group increases by restriction. Comment: Results and exposition improved |
Databáze: | arXiv |
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