Genus-one stable maps, local equations, and Vakil-Zinger's desingularization

Yi Hu, Jun Li

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We describe an algebro-geometric approach to Vakil-Zinger's desingularization of the main component of the moduli of genus one stable maps to ℙn (Vakil and Zinger in Res Announc Am Math Soc 13:53-59, 2007; Geom Topol 12(1):1-95, 2008). Our approach is based on understanding the local structure of this moduli space; it also gives a partial desingularization of the entire moduli space. The results proved should extend to higher genera.

Original languageEnglish (US)
Pages (from-to)929-963
Number of pages35
JournalMathematische Annalen
Volume348
Issue number4
DOIs
StatePublished - Mar 19 2010

ASJC Scopus subject areas

  • Mathematics(all)

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