Stable Reductive Varieties Ii: Projective Case
نویسنده
چکیده
0. Introduction 1 1. Main definitions 3 2. Polarized stable reductive varieties 4 2.1. Classification 4 2.2. Cohomology groups 8 3. Pairs 9 4. Moduli of stable reductive pairs 10 4.1. General remarks on families 10 4.2. One-parameter degenerations 11 4.3. Construction of the moduli space of pairs 13 4.4. Projectivity of the moduli space 17 4.5. Structure of the moduli space 18 5. Connection with the log Minimal Model Program 19 5.1. Arbitrary spherical varieties 19 5.2. Reductive varieties 21 5.3. Stable reductive varieties 23 6. Generalizations 25 6.1. Polarized varieties and pairs without linearization 25 6.2. Pairs (X,D1, . . . ,Dn) with several divisors 26 References 26
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