Equivalences for noncommutative projective spaces

2010/01/25 by Jorge Vitória, Vitoria, Jorge · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1001.4400

Abstract

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.

Cited by

• On Knörrer periodicity for quadric hypersurfaces in skew projective spaces

Related

• Noncommutative projective geometry
• An introduction to Noncommutative Projective Geometry
• Combinatorial classification of (± 1)-skew projective spaces
• Noncommutative versions of some classical birational transformations
• Noncommutative coordinate algebras