The Construction of Numerically Calabi-Yau Orders on Projective Surfaces

Details The Construction of Numerically Calabi-Yau Orders on Projective Surfaces The Construction of Numerically Calabi-Yau Orders on Projective Surfaces

2011-07-05

arxiv.org/abs/1107.0783v1

Mathematics

Rings and Algebras

32 pages, 4 figures

Scientific paper

In this paper, we construct a vast collection of maximal numerically
Calabi-Yau orders utilising a noncommutative analogue of the well-known
commutative cyclic covering trick. Such orders play an integral role in the
Mori program for orders on projective surfaces and although we know a
substantial amount about them, there are relatively few known examples.

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