GIT compactifications of M0,n and flips

Noah Giansiracusa; David Jensen; Han Bom Moon

doi:10.1016/j.aim.2013.08.011

GIT compactifications of _M0,n and flips

Noah Giansiracusa
, David Jensen
, Han Bom Moon

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We use geometric invariant theory (GIT) to construct a large class of compactifications of the moduli space _M0,n. These compactifications include many previously known examples, as well as many new ones. As a consequence of our GIT approach, we exhibit explicit flips and divisorial contractions between these spaces.

Original language	English
Pages (from-to)	242-278
Number of pages	37
Journal	Advances in Mathematics
Volume	248
DOIs	https://doi.org/10.1016/j.aim.2013.08.011
State	Published - Nov 5 2013

Keywords

Geometric invariant theory
Moduli spaces

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1016/j.aim.2013.08.011

Cite this

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abstract = "We use geometric invariant theory (GIT) to construct a large class of compactifications of the moduli space M0,n. These compactifications include many previously known examples, as well as many new ones. As a consequence of our GIT approach, we exhibit explicit flips and divisorial contractions between these spaces.",

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