The Betti table of a high degree curve is asymptotically pure
Algebraic Geometry
2014-01-09 v2
Abstract
We prove that asymptotically in the degree, the main term of the Boij--S\"oderberg decomposition of a high degree curve is a single pure diagram that only depends on the genus of the curve. This answers a question of Ein and Lazarsfeld in the case of curves.
Keywords
Cite
@article{arxiv.1308.4661,
title = {The Betti table of a high degree curve is asymptotically pure},
author = {Daniel Erman},
journal= {arXiv preprint arXiv:1308.4661},
year = {2014}
}
Comments
6 pages. Dedicated to Rob Lazarsfeld on the occasion of his sixtieth birthday. This version corrects a typo and adds a few clarifying details in the proof of Theorem 2.3