Equivalences for noncommutative projective spaces

Details Equivalences for noncommutative projective spaces Equivalences for noncommutative projective spaces

2010-01-25

arxiv.org/abs/1001.4400v3

Mathematics

Rings and Algebras

New version containing important corrections. The last theorem of the previous version was removed due to a gap in its proof

Scientific paper

Following Artin and Zhang's formulation of noncommutative projective
geometry, we classify up a family of skew polynomial quadratic algebras up to
graded Morita equivalence and their corresponding noncommutative projective
spaces up to birational equivalences. We also study their point varieties and
provide examples of non-isomorphic noncommutative projective spaces.

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