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Geometry of noncommutative algebras

Eivind Eriksen, Arvid Siqveland (2011)

Banach Center Publications

There has been several attempts to generalize commutative algebraic geometry to the noncommutative situation. Localizations with good properties rarely exist for noncommutative algebras, and this makes a direct generalization difficult. Our point of view, following Laudal, is that the points of the noncommutative geometry should be represented as simple modules, and that noncommutative deformations should be used to obtain a suitable localization in the noncommutative situation. Let A be an algebra...

Global minimal models for endomorphisms of projective space

Clayton Petsche, Brian Stout (2014)

Journal de Théorie des Nombres de Bordeaux

We prove the existence of global minimal models for endomorphisms φ : N N of projective space defined over the field of fractions of a principal ideal domain.

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