Algebraic C*-actions and homotopy continuation
2008 (English)Licentiate thesis, monograph (Other scientific)
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
torus actions, homotopy continuation
IdentifiersURN: urn:nbn:se:kth:diva-9380ISBN: 978-91-7415-132-9OAI: oai:DiVA.org:kth-9380DiVA: diva2:113765
2008-10-17, 3721, Lindstedtsvägen 25, KTH, Stockholm, 09:00 (English)
Peterson, Chris, Professor
Di Rocco, Sandra, Docent
QC 201011082008-10-302008-10-272010-11-08Bibliographically approved