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

Mathematik (insg.)

Electronic version(s)

https://doi.org/10.2969/jmsj/87028702 (Access: Geschlossen)