Counterexamples to Mercat's Conjecture
Algebraic Geometry
2013-08-01 v2
Abstract
For any n>3, we provide examples of curves lying on K3 surfaces and vector bundles on those curves which invalidate Mercat's conjecture for rank n bundles.
Keywords
Cite
@article{arxiv.1306.2553,
title = {Counterexamples to Mercat's Conjecture},
author = {Akash Kumar Sengupta},
journal= {arXiv preprint arXiv:1306.2553},
year = {2013}
}
Comments
6 pages, Proof of a lemma added in Section 2, Slight change in the proof of the main theorem, added references