A generalization of Lichtenbaum's theorem on the cohomological dimension of algebraic varieties.
Gennady Lyubeznik (1991)
Mathematische Zeitschrift
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Gennady Lyubeznik (1991)
Mathematische Zeitschrift
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M.J. Dunwoody (1968)
Mathematische Zeitschrift
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Robin Hartshorne
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Roberto Dvornicich (1980)
Acta Arithmetica
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E. Bombieri, D. Masser, U. Zannier (2008)
Acta Arithmetica
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Krzysztof Jan Nowak (1994)
Mathematische Annalen
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Frank Levin (1964)
Mathematische Zeitschrift
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Misha Gromov (1999)
Journal of the European Mathematical Society
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The theorem of Ax says that any regular selfmapping of a complex algebraic variety is either surjective or non-injective; this property is called surjunctivity and investigated in the present paper in the category of proregular mappings of proalgebraic spaces. We show that such maps are surjunctive if they commute with sufficiently large automorphism groups. Of particular interest is the case of proalgebraic varieties over infinite graphs. The paper intends to bring out relations between...
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.
I.D. MacDonald (1962)
Mathematische Zeitschrift
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I.D. MacDonald (1961)
Mathematische Zeitschrift
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Antonio Lerario (2016)
Journal of the European Mathematical Society
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Roger M. Bryant (1971)
Mathematische Zeitschrift
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Kazuhisa Maehara (1983)
Mathematische Annalen
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