Relations in the Tautological Ring of the Universal Curve
Algebraic Geometry
2020-08-03 v1
Abstract
We bound the dimensions of the graded pieces of the tautological ring of the universal curve from below for genus up to 27 and from above for genus up to 9. As a consequence we obtain the precise structure of the tautological ring of the universal curve for genus up to 9. In particular, we see that it is Gorenstein for these genera.
Cite
@article{arxiv.2007.15972,
title = {Relations in the Tautological Ring of the Universal Curve},
author = {Olof Bergvall},
journal= {arXiv preprint arXiv:2007.15972},
year = {2020}
}
Comments
15 pages. To appear in "Communications in Analysis and Geometry". This paper is a reworked version of my master thesis from 2011 (urn:nbn:se:kth:diva-102806)