Publications at the Riemann Center
Moduli of Gorenstein Q-homology projective planes
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.
Details
- Organisation(s)
-
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
- Type
- Article
- 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
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.2969/jmsj/87028702 (Access:
Closed
)
