The geometry of T-Varieties (bibtex)
by Klaus Altmann, Nathan Owen Ilten, Lars Petersen, Hendrik Süß, Robert Vollmert
Abstract:
This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant deformations, among others.
Reference:
The geometry of T-Varieties (Klaus Altmann, Nathan Owen Ilten, Lars Petersen, Hendrik Süß, Robert Vollmert), In: Contributions to Algebraic Geometry -- a tribute to Oscar Zariski (Piotr Pragacz, ed.), 2012.  
Bibtex Entry:
@InProceedings{tvars,
   author = {{Altmann}, Klaus and {Ilten}, Nathan Owen and {Petersen}, Lars and {S{\"u}{\ss}}, Hendrik and 
	{Vollmert}, Robert},
  title = "{The geometry of T-Varieties}",
  booktitle = {Contributions to Algebraic Geometry -- a tribute to Oscar Zariski},
  year = 	 2012,
  editor = 	 {Piotr Pragacz},
  series = 	 {EMS Series of Congress Reports, Impanga Lecture Notes},
  url= {http://arxiv.org/abs/1102.5760},
  doi = {10.4171/114},
  gsid={6178968538409690068},
  pages={17-69},
  abstract={This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant deformations, among others. },
}
 
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