The stability of exceptional bundles on complete intersection 3-folds

Miró-Roig, Rosa; Soares, Helena

doi:10.1090/S0002-9939-08-09258-7

The stability of exceptional bundles on complete intersection $3$-folds
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by Rosa Maria Miró-Roig and Helena Soares

Proc. Amer. Math. Soc. 136 (2008), 3751-3757

DOI: https://doi.org/10.1090/S0002-9939-08-09258-7

Published electronically: June 20, 2008

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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 $Y\subset \mathbb {P}^n$ of type $(d_1,\ldots ,d_{n-3})$ with $d_1+\cdots + d_{n-3}\leq n$ and $n\geq 4$ is stable.

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