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LS algebras and Schubert varieties

Rocco Chirivì
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      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 / softback CONTRIBUTORS: Rocco Chirivì EAN: 9788876422874 COUNTRY: Italy PAGES: WEIGHT: 0 g HEIGHT: 240 cm
      PUBLISHED BY: Birkhauser Verlag AG DATE PUBLISHED: 2003-10-01 CITY: GENRE: MATHEMATICS / Geometry / Algebraic WIDTH: 170 cm SPINE:

      Book Themes:

      Algebraic geometry

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      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 / softback CONTRIBUTORS: Rocco Chirivì EAN: 9788876422874 COUNTRY: Italy PAGES: WEIGHT: 0 g HEIGHT: 240 cm
      PUBLISHED BY: Birkhauser Verlag AG DATE PUBLISHED: 2003-10-01 CITY: GENRE: MATHEMATICS / Geometry / Algebraic WIDTH: 170 cm SPINE:

      Book Themes:

      Algebraic geometry

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