Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves

Gavril Farkas*, Mircea Musţǎ, Mihnea Popa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We use geometrically defined divisors on moduli spaces of pointed curves to compute the graded Betti numbers of general sets of points on any nonhyperelliptic canonically embedded curve. This gives a positive answer to the Minimal Resolution Conjecture in the case of canonical curves. But we prove that the conjecture fails on curves of large degree. These results are related to the existence of theta divisors associated to certain stable vector bundles.

Original languageEnglish (US)
Pages (from-to)553-581
Number of pages29
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume36
Issue number4
DOIs
StatePublished - Jul 1 2003

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Divisors on M<sub>g,g+1</sub> and the minimal resolution conjecture for points on canonical curves'. Together they form a unique fingerprint.

Cite this