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Equivariant Embeddings of Tori 1
Construction of Nice Polyhedral Subdivisions
1 other sections not shown
assume bijection birational Borel Borel subgroup canonical Cartier div Cartier divisor closed point closure Cohen-Macaulay coherent sheaf commutative components containing convex interpolation convex rational polyhedral coordinates Corollary corresponds formally defines a bijection definition denote diagram discrete valuation ring embedding without self-intersection enpo equation equivalent equivariant equivariant affine embedding equivariant embedding exists f.r.p.p. decomposition face fact fibre finite type follows fractional ideals functions f G c g graph hence hyperplane integral closure integral structure invariant invertible sheaf irreducible Lemma Let f linear function linear subspace Moreover non-singular normal variety notations open set orbit PL(X polyhedron projective subdivision Proof prove rational polyhedral cone rational structure scheme semi-group semi-stable reduction sheaf of fractional simplex simplices singularities Spec Star strata stratum subgroup T-invariant T-space Theorem toroidal embedding torus embedding vector vertexes vertices waterman point Weil divisor