Boundedness of the space of stable logarithmic maps
Algebraic Geometry
2021-01-25 v3
Abstract
We prove that the moduli space of stable logarithmic maps with fixed numerical invariants, from logarithmic curves to a fixed projective target logarithmic scheme with fine and saturated logarithmic structure, is a proper algebraic stack. This was previously known only with further restrictions on the logarithmic structure of the target.
Keywords
Cite
@article{arxiv.1408.0869,
title = {Boundedness of the space of stable logarithmic maps},
author = {Dan Abramovich and Qile Chen and Steffen Marcus and Jonathan Wise},
journal= {arXiv preprint arXiv:1408.0869},
year = {2021}
}
Comments
32 pages, 2 figures. v3: Significant changes. Final version appears in the Journal of the European Mathematical Society