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math.AC2002
Koszul homology and extremal properties of Gin and Lex
Aldo Conca
In a polynomial ring with variables, for every homogeneous ideal and for every we consider the Koszul homology with respect to a sequence of …
math.AC2002★ 146 cited
Castelnuovo-Mumford regularity of products of ideals
Aldo Conca, Juergen Herzog
We discuss the behavior of the Castelnuovo-Mumford regularity under certain operations on ideals and modules, like products or powers. In particular, we show that reg(IM) can be la…
math.AC2002★ 3 cited
Reduction numbers and initial ideals
Aldo Conca
The reduction number r(A) of a standard graded algebra A is the least integer k such that there exists a minimal reduction J of the homogeneous maximal ideal m of A such that Jm^k=…