LUCHEZAR L. AVRAMOV, Joan Elias, +6 authorsL. L. AVRAMOV

2009

This text is based on the notes for a series of five lectures to the Barcelona Summer School in Commutative Algebra at the Centre de Recerca Matemàtica, Institut d’Estudis Catalans, July 15–26, 1996.… (More)

For a finitely generated A-module M we define the dimension filtrationM= {Mi}0≤i≤d, d = dimAM, whereMi denotes the largest submodule of M of dimension ≤ i. Several properties of this filtration are… (More)

Let a denote an ideal of a local ring (R, m). Let M be a finitely generated R-module. There is a systematic study of the formal cohomology modules lim ← − H i m (M/a n M), i ∈ Z. We analyze their… (More)

We study the arithmetic properties of projective varieties of almost minimal degree, that is of non-degenerate irreducible projective varieties whose degree exceeds the codimension by precisely 2. We… (More)

Let JG denote the binomial edge ideal of a connected undirected graph on n vertices. This is the ideal generated by the binomials xiyj − xjyi, 1 ≤ i < j ≤ n, in the polynomial ring S = K[x1, . . . ,… (More)

Several spectral sequence techniques are used in order to derive information about the structure of finite free resolutions of graded modules. These results cover estimates of the minimal number of… (More)

For applications in fine art, architecture and engineering it is often important to visualize and to explore complex mathematical models. In former times there were static models of them collected in… (More)

Let (R, m) denote an n-dimensional Gorenstein ring. For an ideal I ⊂ R of height c we are interested in the endomorphism ring B = HomR(H c I (R), H c I (R)). It turns out that B is a commutative… (More)