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UID:news721@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190211T182835
DTSTART;TZID=Europe/Zurich:20140425T103000
SUMMARY:Seminar Algebra and Geometry: Ivan Bazhov (Univesité de Genève)
DESCRIPTION:Let X be an affine toric variety and Aut(X) be its automorphism
  group. In the first part of the talk we give a combinatorial description 
 of Aut(X)-orbits on X in terms of the divisor class group Cl(X). In the se
 cond part we introduce the total coordinates on X. The total coordinate ri
 ng provides a canonical presentation $\\overline{X}$ → X of X  as a quo
 tient of a vector space $\\overline{X}$ by a linear action of a  quasitoru
 s. We show that the orbits of the connected component of the  group Aut(X)
  on X coincide with the Luna strata defined by the canonical quotient pres
 entation.
X-ALT-DESC: Let <i>X</i> be an affine toric variety and Aut(<i>X</i>) be it
 s automorphism group. In the first part of the talk we give a combinatoria
 l description of Aut(<i>X</i>)-orbits on <i>X</i> in terms of the divisor 
 class group Cl(<i>X</i>). <br />In the second part we introduce the total 
 coordinates on <i>X</i>. The total coordinate ring provides a canonical pr
 esentation $\\overline{X}$ → <i>X</i>&nbsp\;of <i>X</i>  as a quotient o
 f a vector space $\\overline{X}$ by a linear action of a  quasitorus. We s
 how that the orbits of the connected component of the  group Aut(<i>X</i>)
  on <i>X</i> coincide with the Luna strata defined by the canonical quotie
 nt presentation. 
DTEND;TZID=Europe/Zurich:20140425T120000
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