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020 ▼a 9780438324220
035 ▼a (MiAaPQ)AAI10811868
035 ▼a (MiAaPQ)berkeley:17758
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0820 ▼a 510
1001 ▼a Lowengrub, Daniel.
24510 ▼a Applications of the Intersection Theory of Singular Varieties.
260 ▼a [S.l.] : ▼b University of California, Berkeley., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 78 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: Vivek Shende.
5021 ▼a Thesis (Ph.D.)--University of California, Berkeley, 2018.
520 ▼a We 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.
520 ▼a The first result provides a method for computing the Segre class of a closed embedding X &rarr
520 ▼a Next 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
590 ▼a School code: 0028.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a University of California, Berkeley. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0028
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998003 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자