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On Cohen-Macaulay modules over non-commutative surface singularities

Yuriy Drozd, Volodymyr Gavran (2014)

Open Mathematics

We generalize the results of Kahn about a correspondence between Cohen-Macaulay modules and vector bundles to non-commutative surface singularities. As an application, we give examples of non-commutative surface singularities which are not Cohen-Macaulay finite, but are Cohen-Macaulay tame.

On extensions of mixed motives.

Christopher Deninger (1997)

Collectanea Mathematica

In this article we give an introduction to mixed motives and sketch a couple of ways to construct examples.

On glueing curves on surfaces and zero cycles

Hursit Önsiper (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The structure of the group H 2 X , K 2 of a surface X with prescribed singularities is investigated.

On induced actions of algebraic groups

Andrzej Bialynicki-Birula (1993)

Annales de l'institut Fourier

In this paper we study the existence problem for products X × G Y in the categories of quasi-projective and algebraic varieties and also in the category of algebraic spaces.

On irreducible components of a Weierstrass-type variety

Romuald A. Janik (1997)

Annales Polonici Mathematici

We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.

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