Schubert varieties in
V. B. Mehta, A. Ramanathan (1988)
Compositio Mathematica
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V. B. Mehta, A. Ramanathan (1988)
Compositio Mathematica
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John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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Ewa Graczyńska, Dietmar Schweigert (2007)
Discussiones Mathematicae - General Algebra and Applications
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Derived varieties were invented by P. Cohn in [4]. Derived varieties of a given type were invented by the authors in [10]. In the paper we deal with the derived variety of a given variety, by a fixed hypersubstitution σ. We introduce the notion of the dimension of a variety as the cardinality κ of the set of all proper derived varieties of V included in V. We examine dimensions of some varieties in the lattice of all varieties of a given type τ. Dimensions of varieties of lattices...
V. Lakshmibai (1990)
Banach Center Publications
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Alfonz Haviar, Gabriela Monoszová (2001)
Discussiones Mathematicae Graph Theory
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In this paper we investigate varieties of orgraphs (that is, oriented graphs) as classes of orgraphs closed under isomorphic images, suborgraph identifications and induced suborgraphs, and we study the lattice of varieties of tournament-free orgraphs.
J. Płonka (1987)
Colloquium Mathematicae
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N.Ya. Medvedev, S. V. Morozova (1998)
Czechoslovak Mathematical Journal
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G. Ewald (1988)
Discrete & computational geometry
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Raika Dehy, Rupert W.T. Yu (2001)
Annales de l’institut Fourier
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Using the polytopes defined in an earlier paper, we show in this paper the existence of degeneration of a large class of Schubert varieties of to toric varieties by extending the method used by Gonciulea and Lakshmibai for a miniscule to Schubert varieties in .