%0 Generic %1 altmann2011geometry %A Altmann, Klaus %A Ilten, Nathan Owen %A Petersen, Lars %A Süß, Hendrik %A Vollmert, Robert %D 2011 %K T-variety %R 10.4171/114 %T The Geometry of T-Varieties %U http://arxiv.org/abs/1102.5760 %X 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.

@misc{altmann2011geometry, 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.}, added-at = {2023-08-12T14:12:56.000+0200}, author = {Altmann, Klaus and Ilten, Nathan Owen and Petersen, Lars and Süß, Hendrik and Vollmert, Robert}, biburl = {https://www.bibsonomy.org/bibtex/22d3e4004c551c29c7ab141b4f163faed/soulcraw}, description = {The Geometry of T-Varieties}, doi = {10.4171/114}, interhash = {15893098dbd3c91353b29c513c843c8e}, intrahash = {2d3e4004c551c29c7ab141b4f163faed}, keywords = {T-variety}, note = {cite arxiv:1102.5760Comment: 42 pages, 17 figures. v2: minor changes following the referee's suggestions}, timestamp = {2023-08-12T14:12:56.000+0200}, title = {The Geometry of T-Varieties}, url = {http://arxiv.org/abs/1102.5760}, year = 2011 }