Cubic forms : algebra, geometry, arithmetic
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Bibliographic Information
Cubic forms : algebra, geometry, arithmetic
（North-Holland mathematical library, v. 4）
North-Holland, 1986
2nd ed
- Other Title
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Kubicheskie formy
Available at / 56 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
MAN||21||1(2)(H)||複本86047258
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:516.3||M3142070029766
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Note
Bibliography: p. 318-322
Includes indexes
Description and Table of Contents
Description
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references.The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the theory of the descent and obstructions to the Hasse principle on rational varieties, and recent applications of K-theory to arithmetic.
Table of Contents
CH-Quasigroups and Moufang Loops. Classes of Points on Cubic Hypersurfaces. Two-Dimensional Birational Geometry. The Twenty-Seven Lines. Minimal Cubic Surfaces. The Brauer-Grothendieck Group. Appendix: Algebraic Varieties Close to the Rational Ones. Algebra, Geometry, Arithmetic. Galois Cohomology, Picard Groups and Birational Geometry. The Hasse Principle and Descent on Rational Varieties. Geometry of Rational Surfaces. Complements. The Luroth Problem and the Zariski Problem in Dimension 3. Rational Points and Equivalence Relations. Cubic Surfaces and Commutative Loops (CML). References. Subject Index.
by "Nielsen BookData"