LS algebras and Schubert varieties

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.

Product details

• Authors: Rocco Chirivì
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.10.2003
• EAN: 9788876422874
• ISBN: 978-88-7642-287-4
• No. of pages: 89
• Illustrations: III, 89 p.
• Series: Publications of the Scuola Normale Superiore
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry