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The ring of sections of a complete symmetric variety

✍ Scribed by Rocco Chirivı̀; Andrea Maffei

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
182 KB
Volume
261
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study the ring of sections A(X) of a complete symmetric variety X, that is of the wonderful completion of G/H where G is an adjoint semisimple group and H is the fixed subgroup for an involutorial automorphism of G. We find generators for Pic(X), we generalize the PRV conjecture to complete symmetric varieties and construct a standard monomial theory for A(X) that is compatible with G orbit closures in X. This gives a degeneration result and the rational singularityness for A(X).

📜 SIMILAR VOLUMES

The commutative ring of a symmetric desi
The commutative ring of a symmetric design
✍ Alan R. Prince 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 162 KB

It is shown that any symmetric design has associated to it a certain commutative ring , the author defined a commutative ring associated with any finite projective plane. The purpose of this paper is to define an analogous ring associated with any symmetric design. A symmetric (v, k, A)-design is an