Cohomology over complete intersections via exterior algebras

Mathematics – Commutative Algebra

Scientific paper

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18 pages; to appear in "Triangulated categories (Leeds, 2006)", LMS lecture notes series.

Scientific paper

A general method for establishing results over a commutative complete
intersection local ring by passing to differential graded modules over a graded
exterior algebra is described. It is used to deduce, in a uniform way, results
on the growth of resolutions of complexes over such local rings.

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