Strong positivity of intersection multiplicity for unramified regular local rings /

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Bibliographic Details
Author / Creator:Skalit, Christopher, author.
Imprint:2015.
Ann Arbor : ProQuest Dissertations & Theses, 2015
Description:1 electronic resource (53 pages)
Language:English
Format: E-Resource Dissertations
Local Note:School code: 0330
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/10773175
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Other authors / contributors:University of Chicago. degree granting institution.
ISBN:9781321913033
Notes:Advisors: M. V. Nori; J. P. May.
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Dissertation Abstracts International, Volume: 76-12(E), Section: B.
English
Summary:We describe here some recent progress pertaining to the Serre Intersection Multiplicity Conjecture. In particular, we show that if A is unramified, then just as in the equicharacteristic case, the intersection multiplicity of two modules is bounded below by the product of their Hilbert-Samuel multiplicities. We also explain, in terms of the blowup of Spec A, the geometric significance of achieving this lower bound.