Results 211 to 220 of about 152,344 (258)

Harmonic Mappings and Algebraic Varieties Over Function Fields

American Journal of Mathematics, 1993
Jürgen Jost, Shing‐Tung Yau
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L-functions of algebraic varieties over finite fields: rationality, meromorphy and entireness

, 1996
Daqing Wan
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Number fields and zeta functions associated with discontinuous groups and algebraic varieties

, 2002
Goro Shimura
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Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields

Memoirs of the American Mathematical Society, 1951
Oscar Zariski
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On the topology of geometric and rational orbits for algebraic group actions over valued fields

Journal of group theroy, 2020
In this note, we study the relationship between Zariski and relative closedness for actions of (smooth) algebraic groups defined over valued (mainly local) fields of any characteristic.
P. Dao
semanticscholar   +1 more source

On the Rationality of the Zeta Function of an Algebraic Variety

, 1960
Let p be a prime number, a2 the completion of the algebraic closure of the field of rational p-adic numbers and let A be the residue class field of Q. The field A is the algebraic closure of its prime subfield and is of characteristic p. If T* is the set
B. Dwork
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Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions

, 1971
Solutions to Laplace’s equation in three dimensions are obtained by the introduction of a suitable commutative and associative algebra over the field of the complex numbers. In one formulation these solutions turn out to be the coefficients of powers of $
K. Kunz
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Local-global Galois theory of arithmetic function fields

Israel Journal of Mathematics, 2017
We study the relationship between the local and global Galois theory of function fields over a complete discretely valued field. We give necessary and sufficient conditions for local separable extensions to descend to global extensions, and for the local
D. Harbater, Julia Hartmann, D. Krashen, R. Parimala, V. Suresh   +4 more
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STABLE COHOMOLOGY OF GROUPS AND ALGEBRAIC VARIETIES

, 1993
The notion of stable cohomology of algebraic varieties and, based on it, the analogous concept for finite and profinite groups are introduced. It is proved that the ordinary and stable cohomology coincide for the Galois group of the algebraic closure of ...
F. Bogomolov
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WEIGHTS OF SIMPLE LIE ALGEBRAS IN THE COHOMOLOGY OF ALGEBRAIC VARIETIES

, 1985
This article studies representations of semisimple Lie algebras arising naturally in the -adic cohomology of algebraic varieties defined over global fields. A conjecture is formulated about the restrictions the index of the cohomology space and the Hodge
Yu. G. Zarkhin
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