A theory of cohomological support for pairs of DG modules over a Koszul complex is
investigated. These specialize to the support varieties of Avramov and Buchweitz defined …

In this paper, we study the invariant theory of quadratic Poisson algebras. Let G be a finite
group of the graded Poisson automorphisms of a quadratic Poisson algebra A. When the …

In a 1987 paper, Eliahou and Kervaire constructed a minimal resolution of a class of
monomial ideals in a polynomial ring, called stable ideals. As a consequence of their …

Let $\Bbbk $ be a field and let $ I $ be a monomial ideal in the polynomial ring $ Q=\Bbbk
[x_1,\ldots, x_n] $. In her thesis, Taylor introduced a complex which provides a finite free …

In this article we study a theory of support varieties over a skew complete intersection $ R $,
ie a skew polynomial ring modulo an ideal generated by a sequence of regular normal …

In this article we investigate homological aspects of a skew complete intersection R, ie a
skew polynomial ring modulo an ideal generated by a sequence of regular normal elements …

Let I be a monomial ideal in the polynomial ring R= k [x 1,..., xn] over a field k. In her Ph. D.
thesis [Tay66], Taylor introduced a complex which provides a multigraded free resolution for …