Article
Licensed
Unlicensed
Requires Authentication
Classification of surfaces of general type with Euler number 3
-
Sai-Kee Yeung
Published/Copyright:
April 3, 2012
Abstract
The smallest topological Euler–Poincaré characteristic supported on a smooth surface of general type is 3. In this paper, we show that such a surface has to be a fake projective plane unless h1, 0 (M) = 1. Together with the classification of fake projective planes given by Prasad and Yeung, the recent work of Cartwright and Steger, and a proof of the arithmeticity of the lattices involved in the present article, this gives a classification of such surfaces.
Received: 2011-01-04
Revised: 2011-04-29
Published Online: 2012-04-03
Published in Print: 2013-06
©[2013] by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Classification of surfaces of general type with Euler number 3
- Higher Kronecker “limit” formulas for real quadratic fields
- The u-invariant of p-adic function fields
- The composition Hall algebra of a weighted projective line
- The Taylor–Wiles method for coherent cohomology
- The space of Heegaard splittings
- Wach modules and critical slope p-adic L-functions
- Algebraic varieties with quasi-projective universal cover
- A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
Articles in the same Issue
- Classification of surfaces of general type with Euler number 3
- Higher Kronecker “limit” formulas for real quadratic fields
- The u-invariant of p-adic function fields
- The composition Hall algebra of a weighted projective line
- The Taylor–Wiles method for coherent cohomology
- The space of Heegaard splittings
- Wach modules and critical slope p-adic L-functions
- Algebraic varieties with quasi-projective universal cover
- A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
