Boundedness of the space of stable logarithmic maps
Dan Abramovich
Brown University, Providence, USAQile Chen
Columbia University, New York, and Boston College, Chestnut Hill, USASteffen Marcus
The College of New Jersey, Ewing, USAJonathan Wise
University of Colorado, Boulder, USA
Abstract
We prove that the moduli space of stable logarithmic maps from logarithmic curves to a fixed target logarithmic scheme is a proper algebraic stack when the target scheme is projective with fine and saturated logarithmic structure. This was previously known only with further restrictions on the logarithmic structure of the target.
Cite this article
Dan Abramovich, Qile Chen, Steffen Marcus, Jonathan Wise, Boundedness of the space of stable logarithmic maps. J. Eur. Math. Soc. 19 (2017), no. 9, pp. 2783–2809
DOI 10.4171/JEMS/728