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Field Arithmetic  Michael D. Fried  Buch  Ergebnisse der Mathematik und ihrer Grenzgebiete  Englisch  2008 - Fried, Michael D.
(*)
Fried, Michael D.:
Field Arithmetic Michael D. Fried Buch Ergebnisse der Mathematik und ihrer Grenzgebiete Englisch 2008 - hardcover

2008, ISBN: 9783540772699

[ED: Gebunden], [PU: Springer Berlin], Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)? The third edition improves the second edition in two ways: First it removes many typos and mathematical inaccuracies that occur in the second edition (in particular in the references). Secondly, the third edition reports on five open problems (out of thirtyfour open problems of the second edition) that have been partially or fully solved since that edition appeared in 2005., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 792, [GW: 1389g], 3rd rev. ed., sofortueberweisung.de, PayPal, Banküberweisung

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Field Arithmetic - Fried, Michael D.; Jarden, Moshe
(*)
Fried, Michael D.; Jarden, Moshe:
Field Arithmetic - hardcover

2008, ISBN: 3540772693

ID: A5781212

3rd rev. ed. Gebundene Ausgabe Algebra, Galoistheorie - Galois, Evariste, Zahlentheorie, Mathematik / Logik, Algebraische Geometrie, Geometrie / Algebraische Geometrie, MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Logic, mit Schutzumschlag neu, [PU:Springer-Verlag GmbH; Springer Berlin]

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Field Arithmetic - Fried, Michael D.; Jarden, Moshe
(*)
Fried, Michael D.; Jarden, Moshe:
Field Arithmetic - hardcover

2008, ISBN: 3540772693

ID: A5781212

3rd rev. ed. Gebundene Ausgabe Algebra, Galoistheorie - Galois, Evariste, Zahlentheorie, Mathematik / Logik, Algebraische Geometrie, Geometrie / Algebraische Geometrie, MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Logic, Protège-cahier neu, [PU:Springer-Verlag GmbH; Springer Berlin]

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MARZIES.de Buch- und Medienhandel, 14621 Schönwalde-Glien
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Field Arithmetic - Fried, Michael D.; Jarden, Moshe
(*)
Fried, Michael D.; Jarden, Moshe:
Field Arithmetic - new book

ISBN: 9783540772699

ID: 364202

Field Arithmetic explores Diophantine fields through their absolute Galois groups. The treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. Mathematics Mathematics eBook, Springer Berlin Heidelberg

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Field Arithmetic - Michael D. Fried; Moshe Jarden
(*)
Michael D. Fried; Moshe Jarden:
Field Arithmetic - hardcover

2008, ISBN: 9783540772699

ID: 9245370

[ED: 3], 3rd ed. 2008, Hardcover, Buch, [PU: Springer Berlin]

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Details of the book
Field Arithmetic

Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements.Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)?The third edition improves the second edition in two ways: First it removes many typos and mathematical inaccuracies that occur in the second edition (in particular in the references). Secondly, the third edition reports on five open problems (out of thirtyfour open problems of the second edition) that have been partially or fully solved since that edition appeared in 2005.

Details of the book - Field Arithmetic


EAN (ISBN-13): 9783540772699
ISBN (ISBN-10): 3540772693
Hardcover
Publishing year: 2008
Publisher: Springer Berlin
792 Pages
Weight: 1,368 kg
Language: eng/Englisch

Book in our database since 06.01.2008 12:29:43
Book found last time on 18.04.2019 16:16:18
ISBN/EAN: 9783540772699

ISBN - alternate spelling:
3-540-77269-3, 978-3-540-77269-9


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