Picard groups of Deligne-Lusztig varieties -- with a view toward higher codimensions.
Hansen, Søren Have (2002)
Beiträge zur Algebra und Geometrie
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Hansen, Søren Have (2002)
Beiträge zur Algebra und Geometrie
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Stankova, Zvezdelina (2007)
The Electronic Journal of Combinatorics [electronic only]
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Inna Scherbak (2003)
Banach Center Publications
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We consider the Gaudin model associated to a point z ∈ ℂⁿ with pairwise distinct coordinates and to the subspace of singular vectors of a given weight in the tensor product of irreducible finite-dimensional sl₂-representations, [G]. The Bethe equations of this model provide the critical point system of a remarkable rational symmetric function. Any critical orbit determines a common eigenvector of the Gaudin hamiltonians called a Bethe vector. In [ReV], it was shown...
Nicolae Gonciulea, Venkatramani Lakshmibai (1997)
Annales de l'institut Fourier
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We construct certain normal toric varieties (associated to finite distributive lattices) which are degenerations of the Grassmannians. We also determine the singular loci for certain normal toric varieties, namely the ones which are certain ladder determinantal varieties. As a consequence, we prove a refined version of the conjecture of Laksmibai & Sandhya [Criterion for smoothness of Schubert varieties in , Proc. Ind. Acad. Sci., 100 (1990), 45-52] on the components of the singular...
Flaminio Flamini (2004)
Collectanea Mathematica
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The main purpose of this paper is twofold. We first analyze in detail the meaningful geometric aspect of the method introduced in [12], concerning families of irreducible, nodal curves on a smooth, projective threefold X. This analysis gives some geometric interpretations not investigated in [12] and highlights several interesting connections with families of other singular geometric objects related to X and to other varieties. Then we use this method to study analogous problems for...
William Fulton (1975)
Publications Mathématiques de l'IHÉS
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V. F. Mazurovskii (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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B. Bonnard, I. Kupka (1997)
Annales de l'I.H.P. Analyse non linéaire
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János Kollár (1985)
Compositio Mathematica
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