Relations in the Tautological Ring of the Universal Curve

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.

arXiv comment15 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)

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