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Applications of the Intersection Theory of Singular Varieties

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자료유형학위논문
서명/저자사항Applications of the Intersection Theory of Singular Varieties.
개인저자Lowengrub, Daniel.
단체저자명University of California, Berkeley. Mathematics.
발행사항[S.l.]: University of California, Berkeley., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항78 p.
기본자료 저록Dissertation Abstracts International 80-01B(E).
Dissertation Abstract International
ISBN9780438324220
학위논문주기Thesis (Ph.D.)--University of California, Berkeley, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Vivek Shende.
요약We develop tools for computing invariants of singular varieties and apply them to the classical theory of nodal curves and the complexity analysis of non-convex optimization problems.
요약The first result provides a method for computing the Segre class of a closed embedding X &rarr
요약Next we focus on techniques for computing the ED degree of a complex projective variety associated to an optimization problem. As a first application we consider the problem of scene reconstruction and find a degree 3 polynomial that computes th
일반주제명Mathematics.
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