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Enhanced Algorithms for F-Pure Threshold Computation

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서명/저자사항Enhanced Algorithms for F-Pure Threshold Computation.
개인저자Pagi, Gilad.
단체저자명University of Michigan. Mathematics.
발행사항[S.l.]: University of Michigan., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항130 p.
기본자료 저록Dissertation Abstracts International 79-12B(E).
Dissertation Abstract International
ISBN9780438125995
학위논문주기Thesis (Ph.D.)--University of Michigan, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
Adviser: Karen E. Smith.
요약We explore different computational techniques for the F-pure threshold invariant of monomial ideals and of polynomials. For the former, we introduce a novel algorithm to reduce the number of generators of the ideal and the number of variables in
요약For polynomials, we introduce a direct computational technique involving properties of roots of Deuring polynomials, which are closely related to Legendre polynomials. This technique is then applied to two different families of polynomials: poly
요약We end the dissertations with generalizing the Deuring polynomial techniques used thus far, and introducing a way to explicitly stratify the coefficient space of polynomials supported by a fixed set of monomials, by identifying regions represent
일반주제명Mathematics.
언어영어
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