Results 1 to 10 of about 4,466 (196)
Arcs on Determinantal Varieties [PDF]
Transactions of the American Mathematical Society, 2011 We study arc spaces and jet schemes of generic determinantal varieties. Using the natural group action, we decompose the arc spaces into orbits, and analyze their structure.
Docampo, Roi
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Maximum Likelihood Duality for Determinantal Varieties [PDF]
International Mathematics Research Notices, 2012 In a recent paper, Hauenstein, Sturmfels, and the second author discovered a conjectural bijection between critical points of the likelihood function on the complex variety of matrices of rank r and critical points on the complex variety of matrices of ...
Draisma, Jan, Rodriguez, Jose
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Toric double determinantal varieties [PDF]
Communications in Algebra, 2021 Undergraduate ...
Alexander Blose +3 more
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Determinantal Calabi-Yau varieties in Grassmannians and the Givental I-functions
Journal of High Energy Physics, 2018 We examine a class of Calabi-Yau varieties of the determinantal type in Grassmannians and clarify what kind of examples can be constructed explicitly.
Yoshinori Honma, Masahide Manabe
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Codimension Two Determinantal Varieties with Isolated Singularities [PDF]
MATHEMATICA SCANDINAVICA, 2011 We study codimension two determinantal varieties with isolated singularities. These singularities admit a unique smoothing, thus we can define their Milnor number as the middle Betti number of their generic fiber.
Maria Aparecida +2 more
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Geometric vertex decomposition and liaison
Forum of Mathematics, Sigma, 2021 Geometric vertex decomposition and liaison are two frameworks that have been used to produce similar results about similar families of algebraic varieties. In this paper, we establish an explicit connection between these approaches.
Patricia Klein, Jenna Rajchgot
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The minimality of determinantal varieties [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2020 Abstract The determinantal variety Σ p q
Bordemann, Martin +2 more
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Jacobi–Trudi formulas and determinantal varieties [PDF]
Algebraic Combinatorics, 2023 Gessel gave a determinantal expression for certain sums of Schur functions which visually looks like the classical Jacobi–Trudi formula. We explain the commonality of these formulas using a construction of Zelevinsky involving BGG complexes and use this explanation to generalize this formula in a few different directions.
Sam, Steven V, Weyman, Jerzy
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Tropical positivity and determinantal varieties
Algebraic Combinatorics, 2023 We initiate the study of positive-tropical generators as positive analogues of the concept of tropical bases. Applying this to the tropicalization of determinantal varieties, we develop criteria for characterizing their positive part. We focus on the study of low-rank matrices, in particular matrices of rank 2 and 3.
Brandenburg, Marie Charlotte +2 more
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Determinacy of determinantal varieties [PDF]
manuscripta mathematica, 2018 10 ...
Imran Ahmed, Maria Aparecida Soares Ruas
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