Quotients of toric varieties.
M.M. Kapranov, B. Sturmfels (1991)
Mathematische Annalen
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M.M. Kapranov, B. Sturmfels (1991)
Mathematische Annalen
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Artem Anisimov (2012)
Colloquium Mathematicae
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Let G be a complex affine algebraic group and H,F ⊂ G be closed subgroups. The homogeneous space G/H can be equipped with the structure of a smooth quasiprojective variety. The situation is different for double coset varieties F∖∖G//H. We give examples showing that the variety F∖∖G//H does not necessarily exist. We also address the question of existence of F∖∖G//H in the category of constructible spaces and show that under sufficiently general assumptions F∖∖G//H does exist as a constructible...
Sergej M. Berger (1988)
Commentationes Mathematicae Universitatis Carolinae
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Marino Gran, Diana Rodelo (2012)
Diagrammes
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V. B. Mehta, A. Ramanathan (1988)
Compositio Mathematica
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Hausel, Tamás, Sturmfels, Bernd (2002)
Documenta Mathematica
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Genaro Hernandez-Mada, Humberto Abraham Martinez-Gil (2025)
Archivum Mathematicum
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We prove that there is an orbit-cone correspondence for the proalgebraic completion of normal toric varieties, which is analogous to the classical orbit-cone correspondence for toric varieties.
John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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Olga Chuvashova, Nikolay Pechenkin (2013)
Open Mathematics
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Let X be an affine T-variety. We study two different quotients for the action of T on X: the toric Chow quotient X/C T and the toric Hilbert scheme H. We introduce a notion of the main component H 0 of H, which parameterizes general T-orbit closures in X and their flat limits. The main component U 0 of the universal family U over H is a preimage of H 0. We define an analogue of a universal family WX over the main component of X/C T. We show that the toric Chow morphism restricted on...
G. Ewald (1988)
Discrete & computational geometry
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Hans-Eberhard Porst (2000)
Commentationes Mathematicae Universitatis Carolinae
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It is shown how Lawvere's one-to-one translation between Birkhoff's description of varieties and the categorical one (see [6]) turns Hu's theorem on varieties generated by a primal algebra (see [4], [5]) into a simple reformulation of the classical representation theorem of finite Boolean algebras as powerset algebras.