Extendable codimension two subvarieties in a general hypersurface

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 d.

0

Turn this paper into a full lesson

ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…