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Journal of the London Mathematical Society 2005 72(3):571-584; doi:10.1112/S0024610705006976
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© The London Mathematical Society

Numerically Calabi–Yau Orders on Surfaces

Daniel Chan and Rajesh S. Kulkarni

School of Mathematics, University of New South Wales Sydney, NSW 2052, Australia danielch{at}maths.unsw.edu.au
Department of Mathematics, Wells Hall, Michigan State University East Lansing, MI 48824, USA kulkarni{at}math.msu.edu

Received 16 November 2004.

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.


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