Publications at the Riemann Center

Moduli of Gorenstein Q-homology projective planes

authored by
Matthias Schütt
Abstract

We give a complete classification of complex Q-homology projective planes with numerically trivial canonical bundle. There are 31 types, and each has one-dimensional moduli. In fact, all moduli curves are rational and defined over Q, and we determine all families explicitly using extremal rational elliptic surfaces and Enriques involutions of base change type.

Organisation(s)
Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Journal of the Mathematical Society of Japan
Volume
75
Pages
329-366
No. of pages
38
ISSN
0025-5645
Publication date
01.2023
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Allgemeine Mathematik
Electronic version(s)
https://doi.org/10.2969/jmsj/87028702 (Access: Geschlossen)