This e-book supplies a entire remedy of the Grassmannian types and their Schubert subvarieties, concentrating on the geometric and representation-theoretic points of Grassmannian types. study of Grassmannian kinds is founded on the crossroads of commutative algebra, algebraic geometry, illustration conception, and combinatorics. accordingly, this article uniquely offers an exhilarating enjoying box for graduate scholars and researchers in arithmetic, physics, and machine technology, to extend their wisdom within the box of algebraic geometry. the traditional monomial thought (SMT) for the Grassmannian kinds and their Schubert subvarieties are brought and the textual content offers a few very important purposes of SMT together with the Cohen–Macaulay estate, normality, particular factoriality, Gorenstein estate, singular loci of Schubert forms, toric degenerations of Schubert kinds, and the connection among Schubert forms and classical invariant theory.
This textual content might serve good as a reference publication for a graduate paintings on Grassmannian kinds and will be an exceptional supplementary textual content for numerous classes together with these in geometry of round kinds, Schubert types, complicated subject matters in geometric and differential topology, illustration thought of compact and reductive teams, Lie conception, toric forms, geometric illustration concept, and singularity idea. The reader must have a few familiarity with commutative algebra and algebraic geometry.
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