Birational contractions of M 3,1 and M4,1

David Jensen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We study the birational geometry of M3,1 and M4,1. In particular, we pose a pointed analogue of the Slope Conjecture and prove it in these low-genus cases. Using variation of GIT, we construct birational contractions of these spaces in which certain divisors of interest - the pointed Brill-Noether divisors - are contracted. As a consequence, we see that these pointed Brill- Noether divisors generate extremal rays of the effective cones for these spaces.

Original languageEnglish
Pages (from-to)2863-2879
Number of pages17
JournalTransactions of the American Mathematical Society
Issue number6
StatePublished - 2013

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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