Varieties and finite closure conditions
John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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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. B. Mehta, A. Ramanathan (1988)
Compositio Mathematica
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Wim H. Hesselink (1979)
Inventiones mathematicae
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Cinzia Casagrande (2004)
Bollettino dell'Unione Matematica Italiana
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This is the text of a talk given at the XVII Convegno dellUnione Matematica Italiana held at Milano, September 8-13, 2003. I would like to thank Angelo Lopez and Ciro Ciliberto for the kind invitation to the conference. I survey some numerical conjectures and theorems concerning relations between the index, the pseudo-index and the Picard number of a Fano variety. The results I refer to are contained in the paper [3], wrote in collaboration with Bonavero, Debarre and Druel. ...
G. Ewald (1988)
Discrete & computational geometry
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L. Ein (1986)
Inventiones mathematicae
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Peter Kleinschmidt (1988)
Aequationes mathematicae
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J. Franke, Y.I. Manin, Y. Tschinkel (1989)
Inventiones mathematicae
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Yujiro Kawamata, Yoshinori Namikawa (1994)
Inventiones mathematicae
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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.