Rational points of bounded height on Fano varieties.
J. Franke, Y.I. Manin, Y. Tschinkel (1989)
Inventiones mathematicae
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J. Franke, Y.I. Manin, Y. Tschinkel (1989)
Inventiones mathematicae
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J. Franke, Y.I. Manin, Y. Tschinkel (1990)
Inventiones mathematicae
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Eberhard Becker, Bill Jacob (1985)
Journal für die reine und angewandte Mathematik
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J. Achari (1978)
Matematički Vesnik
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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...
J. Achari (1979)
Publications de l'Institut Mathématique
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Matusevich, Laura Felicia (2000)
Beiträge zur Algebra und Geometrie
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Masahiro Yasumoto (1994)
Manuscripta mathematica
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J. Siciak (1962)
Annales Polonici Mathematici
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Krystyna Ziętak (1974)
Applicationes Mathematicae
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E.V. Flynn (1991)
Inventiones mathematicae
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Katarzyna Kuhlmann, Franz-Viktor Kuhlmann (2012)
Fundamenta Mathematicae
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We study spaces M(R(y)) of ℝ-places of rational function fields R(y) in one variable. For extensions F|R of formally real fields, with R real closed and satisfying a natural condition, we find embeddings of M(R(y)) in M(F(y)) and prove uniqueness results. Further, we study embeddings of products of spaces of the form M(F(y)) in spaces of ℝ-places of rational function fields in several variables. Our results uncover rather unexpected obstacles to a positive solution of the open question...
Valentin E. Voskresenskii (1999)
Journal de théorie des nombres de Bordeaux
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The rationality of a stably rational torus with a cyclic splitting field is proved.
Bjorn Poonen (2009)
Journal of the European Mathematical Society
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Harald Niederreiter, Chaoping Xing (1998)
Acta Arithmetica
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