Ls Algebras and Schubert Varieties

1. Auflage 2003
ISBN: 978-88-7642-287-4
Verlag: Scuola Normale Superiore

Buch, Englisch, 89 Seiten, Format (B × H): 170 mm x 240 mm

Reihe: Publications of the Scuola Normale Superiore

This thesis is essentially about the standard monomial theory. It deals with Hodge algebras, doset algebras and LS algebras. If Hodge algebras have a module basis given by the linearly ordered monomials from a poset structure, LS algebras have a module basis combinatorically described by the LS paths over a poset with bonds. Some relations for LS paths monomials in the coordinate ring of (the cone over) a Schubert variety are known. Our main result is that any Schubert variety admits a flat degeneration to a union of normal toric varieties.

Zielgruppe

Research

Autoren/Hrsg.

Chirivì, Rocco

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie