000 | 01709cam a22002778i 4500 | ||
---|---|---|---|
001 | 135871 | ||
003 | ISI Library, Kolkata | ||
005 | 20150616115016.0 | ||
008 | 140620s2014 riu b 001 0 eng | ||
020 | _a9781470418823 (alk. paper) | ||
040 | _aISI Library | ||
082 | 0 | 0 |
_a510MS _223 _bAm512 |
100 | 1 | _aJahnel, Jorg. | |
245 | 1 | 0 |
_aBrauer groups, tamagawa measures, and rational points on algebraic varieties / _cJorg Jahnel. |
260 |
_aProvidence : _bAmerican Mathematical Society, _cc2014. |
||
300 |
_aviii, 267 p. : _billustrations ; _c27 cm. |
||
490 | 0 |
_aMathematical surveys and monographs ; _vv 198 |
|
504 | _aIncludes bibliographical references and index. | ||
505 | 0 | _aIntroduction-- Part A. Heights-- I. The concept of a height-- II. Conjectures on the asymptotics of points of bounded height-- Part B. The Brauer group-- III. On the Brauer group of a scheme-- IV. An application: The Brauer-Manin obstruction-- Part C. Numerical experiments V. The Diophantine equation x4+2y4=z4+4w4-- VI. Points of bounded height on cubic and quartic threefolds-- VII. On the smallest point on a diagonal cubic surface-- Appendix-- Bibliography-- Index. | |
520 | _aThe central theme of this book is the study of rational points on algebraic varieties of Fano and intermediate type - both in terms of when such points exist and, if they do, their quantitative density. The book presents the state of the art in computational arithmetic geometry for higher-dimensional algebraic varieties. | ||
650 | 0 | _aAlgebraic varieties. | |
650 | 0 | _aAlgebraic Geometry. | |
650 | 0 | _aBrauer groups. | |
650 | 0 | _aRational points (Geometry). | |
942 |
_2ddc _cBK |
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999 |
_c419032 _d419032 |