Exterior power of stable vector bundle destabilized by Frobenius pull-back
Abstract
In this paper, we prove that for any smooth projective curve C of genus g≥2 over an algebraically closed field of positive characteristic, there exists a stable vector bundle over C whose exterior power is not semi-stable.
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.