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6 papers · 1 filter
Boundedness of Cohomology
Markus Brodmann, Maryam Jahangiri, Cao Huy Linh
Let and let $\D^d$ denote the class of all pairs in which is a Noetherian homogeneous ring with Artinian base ring and suc…
Castelnuovo-Mumford regularity of deficiency modules
Markus Brodmann, Maryam Jahangiri, Cao Huy Linh
Let and let be a finitely generated graded module of dimension over a Noetherian homogeneous ring with local Artinian base ring . Let $\beg(M)$, $\…
Hilbert scheme strata defined by bounding cohomology
Stefan Fumasoli
Let Hilb^p be the Hilbert scheme parametrizing the closed subschemes of P^n with Hilbert polynomial p\in Q[t] over a field K of characteristic zero. By bounding below the cohomolog…
On varieties of almost minimal degree in small codimension
Markus Brodmann, Peter Schenzel
The aim of the present exposition is to investigate varieties of almost minimal degree and of low codimension, in particular their Betti diagrams. Here minimal degree is defined as…
Arithmetic properties of projective varieties of almost minimal degree
Markus Brodmann, Peter Schenzel
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…
Associated primes of graded components of local cohomology modules
Markus P. Brodmann, Mordechai Katzman, Rodney Y. Sharp
The -th local cohomology module of a finitely generated graded module over a standard positively graded commutative Noetherian ring , with respect to the irrelevant ideal…