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Algebraic C*-actions and homotopy continuation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). (Algebra and geometry)
2008 (English)Licentiate thesis, monograph (Other scientific)
Abstract [en]

Let X be a smooth projective variety over C equipped with a C*-action whose fixed points are isolated. Let Y and Z be subvarieties of complementary dimentions in X which intersect properly. In this thesis we present an algorithm for computing the points of intersection between Y and Z based on homotopy continuation and the Bialynicki-Birula decompositions of X into locally closed invariant subsets. As an application we present a new solution to the inverse kinematic problem of a general six-revolute serial-link manipulator.

Place, publisher, year, edition, pages
Stockholm: KTH , 2008. , iv, 34 p.
Trita-MAT. MA, ISSN 1401-2278 ; 08-10
Keyword [en]
torus actions, homotopy continuation
National Category
URN: urn:nbn:se:kth:diva-9380ISBN: 978-91-7415-132-9OAI: diva2:113765
2008-10-17, 3721, Lindstedtsvägen 25, KTH, Stockholm, 09:00 (English)
QC 20101108Available from: 2008-10-30 Created: 2008-10-27 Last updated: 2010-11-08Bibliographically approved

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Eklund, David
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ReferencesLink to record
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