Remote Access Journal of the American Mathematical Society
Green Open Access

Journal of the American Mathematical Society

ISSN 1088-6834(online) ISSN 0894-0347(print)

Request Permissions   Purchase Content 
 

 

Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension


Authors: Sándor J Kovács and Zsolt Patakfalvi
Journal: J. Amer. Math. Soc.
MSC (2010): Primary 14J10
DOI: https://doi.org/10.1090/jams/871
Published electronically: December 15, 2016
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that any coarse moduli space of stable log-varieties of general type is projective. We also prove subadditivity of log-Kodaira dimension for fiber spaces whose general fiber is of log general type.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Journal of the American Mathematical Society with MSC (2010): 14J10

Retrieve articles in all journals with MSC (2010): 14J10


Additional Information

Sándor J Kovács
Affiliation: Department of Mathematics, University of Washington, Box 354350, Seattle, Washington 98195-4350
Email: skovacs@uw.edu

Zsolt Patakfalvi
Affiliation: Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544-1000, USA
Address at time of publication: EPFL, SB MATHGEOM CAG MA, B3 444 (Bâtiment MA), Station 8, CH-1015, Lausanne, Switzerland
Email: zsolt.patakfalvi@epfl.ch

DOI: https://doi.org/10.1090/jams/871
Received by editor(s): July 10, 2015
Received by editor(s) in revised form: February 10, 2016, and July 20, 2016
Published electronically: December 15, 2016
Additional Notes: The first author was supported in part by NSF Grants DMS-1301888 and DMS-1565352, a Simons Fellowship (#304043), and the Craig McKibben and Sarah Merner Endowed Professorship in Mathematics at the University of Washington. This work started while enjoying the hospitality of the Institute for Advanced Study (Princeton) supported by The Wolfensohn Fund.
The second author was supported in part by NSF Grant DMS-1502236.
Article copyright: © Copyright 2016 American Mathematical Society