Publications of the Scuola Normale Superiore

Chirivì, Rocco

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.

Details

Published by: Edizioni della Normale

Publication Date: 2003-10-01

Format: Paperback

ISBN-13: 9788876422874

DOI:

Dimensions: 240cm x170cm

Pages: 89