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Stable reductive varieties II: Projective case

Valery Alexeev·Michel Brion
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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. Final version, to appear in Advances of Math.

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Valery Alexeev, Michel Brion. 2003-09-15. Stable reductive varieties II: Projective case. https://arxiv.org/abs/math/0207274

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