Equations defining Schubert varieties and Frobenius splittings of diagonals
A. Ramanathan (1987)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “Automorphisms and local rigidity of regular varieties”
Equations defining Schubert varieties and Frobenius splittings of diagonals
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Let X be an affine toric variety. The total coordinates on X provide a canonical presentation of X as a quotient of a vector space by a linear action of a quasitorus. We prove that the orbits of the connected component of the automorphism group Aut(X) on X coincide with the Luna strata defined by the canonical quotient presentation.
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The goal of these lectures is to explain speaker’s results on uniqueness properties of spherical varieties. By a uniqueness property we mean the following. Consider some special class of spherical varieties. Define some combinatorial invariants for spherical varieties from this class. The problem is to determine whether this set of invariants specifies a spherical variety in this class uniquely (up to an isomorphism). We are interested in three classes: smooth affine varieties, general...