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| Artikel-Nr.: 5667A-9783030437800 Herst.-Nr.: 9783030437800 EAN/GTIN: 9783030437800 |
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![](/p.gif) | Highlighting the importance of Diophantus of Alexandria as a precursor to the study of arithmetic over the rational numbers, this textbook introduces basic notions with an emphasis on Hilbert's Nullstellensatz over an arbitrary field. A digression on Euclidian rings is followed by a thorough study of the arithmetic theory of cubic surfaces. Subsequent chapters are devoted to p-adic fields, the Hasse principle, and the subtle notion of Diophantine dimension of fields. All chapters contain exercises, with hints or complete solutions. Weitere Informationen: ![](/p.gif) | ![](/p.gif) | Author: | Daniel Coray; Constantin Manoil; John Steinig | Verlag: | Springer International Publishing | Sprache: | eng |
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![](/p.gif) | Weitere Suchbegriffe: algebraic varieties; Rational points; cubic surfaces; Hasse principle; Diophantine dimension of a field, algebraic varieties, rational points, cubic surfaces, Hasse principle, Diophantine dimension of a field |
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