Zobrazeno 1 - 10
of 223
pro vyhledávání: '"Local class field theory"'
Autor:
Erol Serbest, Kazim İlhan Ikeda
Publikováno v:
Volume: 50, Issue: 5 1225-1250
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
Let $K$ denote an $n$-dimensional local field. The aim of this expository paper is to survey the basic arithmetic theory of the $n$-dimensional local field $K$ together with its Milnor $K$-theory and Parshin topological $K$-theory; to review Kato's r
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::553b0a9714b283b956876ebdf4211bcd
https://doi.org/10.15672/hujms.834042
https://doi.org/10.15672/hujms.834042
Autor:
Matthew Schmidt
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 32:355-371
In local class field theory, the Schmid-Witt symbol encodes interesting data about the ramification theory of $p$-extensi-ons of $K$ and can, for example, be used to compute the higher ramification groups of such extensions. In 1936, Schmid discovere
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https://explore.openaire.eu/search/publication?articleId=doi_________::7c37ec8a5e031d5e495a243b7d72fc76
https://doi.org/10.5802/jtnb.1125
https://doi.org/10.5802/jtnb.1125
Autor:
Mark Hunacek
Publikováno v:
The Mathematical Gazette. 105:371-373
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::951c92929ba26876160065bd4d992584
https://doi.org/10.1017/mag.2021.91
https://doi.org/10.1017/mag.2021.91
Akademický článek
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Autor:
Andrea Ferraguti, Carlo Pagano
Publikováno v:
International Mathematics Research Notices
In this paper, we prove several results on finitely generated dynamical Galois groups attached to quadratic polynomials. First we show that, over global fields, quadratic post-critically finite polynomials are precisely those having an arboreal repre
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http://arxiv.org/abs/2004.02847
http://arxiv.org/abs/2004.02847
Autor:
David Harari
Publikováno v:
Galois Cohomology and Class Field Theory ISBN: 9783030439002
This chapter continues local class field theory with the reciprocity map and existence theorem via Kummer extensions.
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https://explore.openaire.eu/search/publication?articleId=doi_________::704e10c34c5c44bc5fe1709e0851a788
https://doi.org/10.1007/978-3-030-43901-9_9
https://doi.org/10.1007/978-3-030-43901-9_9
Autor:
David Harari
Publikováno v:
Galois Cohomology and Class Field Theory ISBN: 9783030439002
This chapter covers local class field theory via Lubin–Tate construction, giving a third proof of the local existence theorem.
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https://explore.openaire.eu/search/publication?articleId=doi_________::1f9a290d79ed8ebd8fa9d038f5e66665
https://doi.org/10.1007/978-3-030-43901-9_11
https://doi.org/10.1007/978-3-030-43901-9_11
Autor:
David Harari
Publikováno v:
Galois Cohomology and Class Field Theory ISBN: 9783030439002
This chapter starts local class field theory with the computation of the Brauer group of a local field and of its cohomological dimension.
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https://explore.openaire.eu/search/publication?articleId=doi_________::c60ff8a1579a63bb763e13f152855ff5
https://doi.org/10.1007/978-3-030-43901-9_8
https://doi.org/10.1007/978-3-030-43901-9_8
Akademický článek
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Autor:
Brian Sinclair, Sebastian Pauli
Publikováno v:
International Journal of Number Theory. 13:2007-2038
We give an algorithm that constructs a minimal set of polynomials defining all extensions of a [Formula: see text]-adic field with given inertia degree, ramification index, discriminant, ramification polygon, and residual polynomials of the segments
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https://doi.org/10.1142/s1793042117501081
https://doi.org/10.1142/s1793042117501081