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.
- ISBN13 9788876422874
- Publish Date 1 October 2003
- Publish Status Active
- Publish Country IT
- Publisher Birkhauser Verlag AG
- Imprint Scuola Normale Superiore
- Format Paperback
- Pages 89
- Language English