Titlebook: Commutative Algebra; Expository Papers De Irena Peeva Book 2013 Springer Science+Business Media New York 2013 Castelnuovo-Mumford regularit

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Morsel

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Amnesty

Changing Attitudes to Delinquency K-algebras R whose residue field K has a linear free resolution as an R-module. The Castelnuovo-Mumford regularity is, after Krull dimension and multiplicity, perhaps the most important invariant of a finitely generated graded module M, as it controls the vanishing of both syzygies and the local cohomology modules of M.

obviate

Memories of Space and Spaces of Memorybound on the projective dimension of J depending only on the number of elements in a minimal system of homogenoeus generators of J and their degrees (in particular, independent of the number of variables)?

Generalize

Memories of Space and Spaces of Memoryhly speaking, that infinite representation type implies the existence of lots of indecomposable modules of arbitrarily large k-dimension. These conjectures have natural interpretations in the context of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings. This is a survey of progress on these transplanted conjectures.

Prophylaxis

Measuring Singularities with Frobenius: The Basics, steps toward understanding a much more subtle measure of singularities which arises naturally in three different contexts - analytic, algebro-geometric, and finally, algebraic. Miraculously, all three approaches lead to essentially the same measurement of singularities: the log canonical threshold

初學(xué)者

灰心喪氣

Koszul Algebras and Regularity, K-algebras R whose residue field K has a linear free resolution as an R-module. The Castelnuovo-Mumford regularity is, after Krull dimension and multiplicity, perhaps the most important invariant of a finitely generated graded module M, as it controls the vanishing of both syzygies and the local co

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