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Supporting degrees of multi-graded local cohomolgoy modules
Markus P. Brodmann, Rodney Y. Sharp
For a finitely generated graded module over a positively-graded commutative Noetherian ring , the second author established in 1999 some restrictions, which can be formulate…
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…