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arXiv · 2510.08108

Extendable codimension two subvarieties in a general hypersurface

G. V. Ravindra·Debaditya Raychaudhury
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Abstract

We exhibit a class of extendable codimension $2$ subvarieties in a general hypersurface of dimension at least $4$ in projective space. As a consequence, we prove that a general hypersurface of degree $d$ and dimension at least $4$ does not support globally generated indecomposable ACM bundles of any rank if their first Chern class $e \ll d$.

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G. V. Ravindra, Debaditya Raychaudhury. 2025-10-09. Extendable codimension two subvarieties in a general hypersurface. https://arxiv.org/abs/2510.08108

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