Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Rationality of the moduli spaces of 2-elementary $ K3$ surfaces

Author: Shouhei Ma
Journal: J. Algebraic Geom. 24 (2015), 81-158
Published electronically: March 5, 2014
MathSciNet review: 3275655
Full-text PDF

Abstract | References | Additional Information

Abstract: $ K3$ surfaces with non-symplectic involution are classified by open sets of seventy-five arithmetic quotients of type IV. We prove that those moduli spaces are rational except two classical cases.

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

Additional Information

Shouhei Ma
Affiliation: Graduate School of Mathematical Sciences, the University of Tokyo, Tokyo 153-8914, Japan
Address at time of publication: Graduate School of Mathematics, Nagoya University, Nagoya 464-8604, Japan

Received by editor(s): November 9, 2011
Received by editor(s) in revised form: February 27, 2012, and July 31, 2012
Published electronically: March 5, 2014
Additional Notes: Supported by Grant-in-Aid for JSPS fellows [21-978] and Grant-in-Aid for Scientific Research (S), No 22224001.
Article copyright: © Copyright 2014

Journal of Algebraic Geometry
The Journal of Algebraic Geometry
is sponsored by the Department of Mathematical Sciences
of Tsinghua University
and is distributed by the American Mathematical Society
for University Press, Inc.
Online ISSN 1534-7486; Print ISSN 1056-3911
© 2017 University Press, Inc.
AMS Website