2014•arXiv (Cornell University)Open access

Six generated ACM bundles on a hypersurface

Amit Tripathi

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Abstract

Let X be a smooth projective hypersurface. In this note we show that any six generated arithmetically Cohen-Macaulay vector bundle over X splits if dim X >= 6.

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What this paper is about

Let X be a smooth projective hypersurface. In this note we show that any six generated arithmetically Cohen-Macaulay vector bundle over X splits if dim X >= 6.

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Available abstract

Let X be a smooth projective hypersurface. In this note we show that any six generated arithmetically Cohen-Macaulay vector bundle over X splits if dim X >= 6.

Key concepts: Hypersurface, Vector bundle, Mathematics, Pure mathematics, Bundle, Composite material, Materials science

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