The geometry of <var>T</var>-varieties

  • Klaus Altmann

    Freie Universität Berlin, Germany
  • Nathan Ilten

    Bonn, Germany
  • Lars Petersen

    Freie Universität Berlin, Germany
  • Hendrik Süß

    Brandenburgische Technische Universität Cottbus, Germany
  • Robert Vollmert

    Freie Universität Berlin, Germany
The geometry of  <var>T</var>-varieties cover

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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.