Symmetric noncommutative birational transformations

2016/07/28 by Presotto, Dennis · 1 citation
#14A22 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.08383

Abstract

In a previous paper (arXiv:1410.5207) certain birational transformations were constructed between the noncommutative schemes associated to quadratic and cubic three dimensional Sklyanin algebras. In the current paper we consider the inverse birational transformations and show that they are of the same type. Moreover we extend everything to the ℤ-algebras context, which allows us to incorporate the noncommutative quadrics introduced by Van den Bergh.

Cited by

• Coherent I-indexed algebras and noncommutative projective schemes

Related

• Noncommutative versions of some classical birational transformations
• ℤ²-algebras as noncommutative blow-ups
• Ring-theoretic blowing down II: Birational transformations
• Quadratic-linar algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
• Maximal Orders in the Sklyanin Algebra