Ample subvarieties of algebraic varieties
Robin Hartshorne
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Robin Hartshorne
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Roberto Dvornicich (1980)
Acta Arithmetica
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Antonio Lerario (2016)
Journal of the European Mathematical Society
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Marino Gran, Diana Rodelo (2012)
Diagrammes
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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...
Rüdiger W. Braun, Reinhold Meise, B. A. Taylor (2006)
Annales Polonici Mathematici
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For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.
E. Bombieri, D. Masser, U. Zannier (2008)
Acta Arithmetica
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John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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Krzysztof Jan Nowak (1994)
Mathematische Annalen
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Kazuhisa Maehara (1983)
Mathematische Annalen
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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...
D.W. Masser, G. Wüstholz (1981)
Inventiones mathematicae
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János Kollár (1993)
Inventiones mathematicae
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G. Ewald (1988)
Discrete & computational geometry
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Yoshifumi Takeda (2007)
Colloquium Mathematicae
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The pre-Tango structure is an ample invertible sheaf of locally exact differentials on a variety of positive characteristic. It is well known that pre-Tango structures on curves often induce pathological uniruled surfaces. We show that almost all pre-Tango structures on varieties induce higher-dimensional pathological uniruled varieties, and that each of these uniruled varieties also has a pre-Tango structure. For this purpose, we first consider the p-closed rational vector field...
Klaus Denecke, Dara Phusanga (2009)
Discussiones Mathematicae - General Algebra and Applications
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In [2] the theory of hyperidentities and solid varieties was extended to algebraic systems and solid model classes of algebraic systems. The disadvantage of this approach is that it needs the concept of a formula system. In this paper we present a different approach which is based on the concept of a relational clone. The main result is a characterization of solid model classes of algebraic systems. The results will be applied to study the properties of the monoid of all hypersubstitutions...