Log minimal model program for the moduli space of stable curves: The second flip
Algebraic Geometry
2014-10-07 v2
Abstract
We prove an existence theorem for good moduli spaces, and use it to construct the second flip in the log minimal model program for the moduli space of stable curves. In fact, our methods give a uniform, self-contained construction of the first three steps of the log minimal model program for the moduli spaces of stable pointed curves.
Cite
@article{arxiv.1308.1148,
title = {Log minimal model program for the moduli space of stable curves: The second flip},
author = {Jarod Alper and Maksym Fedorchuk and David Ishii Smyth and Frederick van der Wyck},
journal= {arXiv preprint arXiv:1308.1148},
year = {2014}
}
Comments
v2: a major revision with streamlined arguments and improved exposition. The definition of the functor at \alpha =2/3-\epsilon\ is slightly modified. 94 pages, 11 figures. Comments are welcome