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Numerically Calabi–Yau Orders on Surfaces
Author(s) -
Chan Daniel,
Kulkarni Rajesh S.
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705006976
Subject(s) - calabi–yau manifold , noncommutative geometry , dimension (graph theory) , zero (linguistics) , pure mathematics , mathematics , geometry , philosophy , linguistics
The work in this paper is part of an ongoing program to classify maximal orders on surfaces via their ramification data. Del Pezzo orders and ruled orders have already been classified by the authors and others. In this paper, we classify numerically Calabi–Yau orders which are the noncommutative analogues of minimal surfaces of Kodaira dimension zero.