Ls Algebras and Schubert Varieties

By Rocco Chirivì

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.

• Format: Paperback
• Language: English
• ISBN: 8876422870
• ISBN13: 9788876422874
• Release Date: October 2003
• Publisher: Edizioni Della Normale
• Length: 89 Pages