Topology of Affine Varieties Dominated by an Affine Space.
R.V. Gurjahr (1980)
Inventiones mathematicae
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R.V. Gurjahr (1980)
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Peter Hauber (1994)
Manuscripta mathematica
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T. Krasiński, S. Spodzieja (2001)
Annales Polonici Mathematici
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Let X, Y be complex affine varieties and f:X → Y a regular mapping. We prove that if dim X ≥ 2 and f is closed in the Zariski topology then f is proper in the classical topology.
Altmann, Klaus (1993)
Beiträge zur Algebra und Geometrie
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Jacob Eli Goodman, Alan Landman (1973)
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Bernd Bank, Marc Giusti, Joos Heintz, Luis M. Pardo (2004)
Kybernetika
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Let be a closed algebraic subvariety of the -dimensional projective space over the complex or real numbers and suppose that is non-empty and equidimensional. In this paper we generalize the classic notion of polar variety of associated with a given linear subvariety of the ambient space of . As particular instances of this new notion of generalized polar variety we reobtain the classic ones and two new types of polar varieties, called dual and (in case that is affine) conic....
R.V. Gurjar (1980)
Commentarii mathematici Helvetici
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Ulrich Görtz, Thomas J. Haines, Robert E. Kottwitz, Daniel C. Reuman (2006)
Annales scientifiques de l'École Normale Supérieure
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Wim H. Hesselink (1979)
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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...
Robert Dryło (2005)
Annales Polonici Mathematici
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Using the notion of uniruledness we indicate a class of algebraic varieties which have a stronger version of the cancellation property. Moreover, we give an affirmative solution to the stable equivalence problem for non-uniruled hypersurfaces.