On a generalization of Tate dualities with application to Iwasawa theory
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.
In this article we give an introduction to mixed motives and sketch a couple of ways to construct examples.
The structure of the group of a surface with prescribed singularities is investigated.
In this paper we study the existence problem for products in the categories of quasi-projective and algebraic varieties and also in the category of algebraic spaces.
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.