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Symmetric power of the Grassmann variety

2011/12/15 by Vsevolod Gubarev, Gubarev, V. Yu.
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1112.3577

openalex publication_date 2011/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we find base and dimension of a subspace appeared in works by V. A. Sharafutdinov. The same problem, but expressed in terms of polynomials from matrix minors, was initially solved by W. Hodge. The new result of this paper is the explicit base of the space and considerable simplification of the formula for its dimension.

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