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The stability of exceptional bundles on complete intersection -folds
Authors:Rosa Maria Miró  -Roig   Helena Soares
Affiliation:Facultat de Matemátiques, Departament d'Àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain ; ISCTE Business School, Departamento de Métodos Quantitativos, Edifício ISCTE, Av. Forças Armadas, 1649-026 Lisboa, Portugal
Abstract:A very long-standing problem in Algebraic Geometry is to determine the stability of exceptional vector bundles on smooth projective varieties. In this paper we address this problem and we prove that any exceptional vector bundle on a smooth complete intersection $ 3$-fold $ Ysubsetmathbb{P}^n$ of type $ (d_1,ldots,d_{n-3})$ with $ d_1+cdots+ d_{n-3}leq n$ and $ ngeq 4$ is stable.

Keywords:Exceptional vector bundles   stability
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