Stable reductive varieties II: projective case
By Valery Alexeev, M. Brion. 2002
52 citations recorded by the source corpus.
Abstract We construct a moduli space of stable projective pairs with a nontrivial action of a connected reductive group. These stable reductive pairs are higher-dimensional analogs of stable n-pointed curves and generalize to the non-commutative case a functorial compactification of moduli of abelian varieties, and of toric pairs. We prove that, confirming a prediction of log Minimal Program, stable reductive pairs have semi log canonical singularities.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/27b9d0b907dbb43184f5b80d226cf5f4b3d63488
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In Geometry and Topology
- V. Datar
- G'abor Sz'ekelyhidi
- Chi Li
- Mattias Jonsson
- S. Boucksom
- Abdellah Lahdili
- Jian Song
- Robert J. Berman
In Mathematical Physics
- G'abor Sz'ekelyhidi
- V. Datar
- Abdellah Lahdili
- Adam Jacob
- Kento Fujita
- Mattias Jonsson
- S. Boucksom
- Tomoyuki Hisamoto
Citations in the corpus
- Kähler–Einstein metrics along the smooth continuity method (2015, background): “nt maximal dimensional convex lattice polytope P ⊂ Λ R one can associate a variety VP, which is a Gc× Gc-equivariant compactification of Gc, the action being left and right multiplication. As shown in [3] (see also Alexeev-Katzarkov [4]), the equivariant degenerations of VP correspond to convex, rati”