GIT Constructions of Moduli Spaces of Stable Curves and Maps

Details GIT Constructions of Moduli Spaces of Stable Curves and Maps GIT Constructions of Moduli Spaces of Stable Curves and Maps

2008-10-14

arxiv.org/abs/0810.2340v1

Mathematics

Algebraic Geometry

46 pages, 3 figures, written for Surveys in Differential Geometry

Scientific paper

This largely expository paper first gives an introduction to Hilbert stability and its use in Gieseker's GIT construction of $\overline{M}_g$. Then I review recent work in this area--variants for unpointed curves that arise in Hassett's log minimal model program, starting with Schubert's moduli space of pseudostable curves, and constructions for weighted pointed stable curves and for pointed stable maps due to Swinarski and to Baldwin and Swinarski respectively. The focus is on the steps at which new ideas are needed. Finally, I list open problems in the area, particularly some arising in the log minimal model program that seem inaccessible to current techniques.

Affiliated with

Also associated with

No associations

Rating

GIT Constructions of Moduli Spaces of Stable Curves and Maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with GIT Constructions of Moduli Spaces of Stable Curves and Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and GIT Constructions of Moduli Spaces of Stable Curves and Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590560