000 02447nam a22003738i 4500
001 CR9780511526060
003 UkCbUP
005 20200124160238.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090406s1995||||enk o ||1 0|eng|d
020 _a9780511526060 (ebook)
020 _z9780521498340 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA641
_b.G67 1995
082 0 0 _a516.3/53
_220
100 1 _aGouvêa, Fernando Q.
_q(Fernando Quadros),
_eauthor.
245 1 0 _aArithmetic of diagonal hypersurfaces over finite fields /
_cFernando Q. Gouvêa, Noriko Yui.
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (xi, 169 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v209
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _a1. Twisted Jacobi sums -- 2. Cohomology groups of V = V[actual symbol not reproducible](c) -- 3. Twisted Fermat motives -- 4. The inductive structure and the Hodge and Newton polygons -- 5. Twisting and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q[superscript -r] -- 8. The Lichtenbaum-Milne conjecture -- 9. Remarks, observations and open problems -- B How to compute the stable Picard number when m is prime.
520 _aThere is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results.
650 0 _aHypersurfaces.
650 0 _aFinite fields (Algebra)
700 1 _aYui, Noriko,
_eauthor.
776 0 8 _iPrint version:
_z9780521498340
830 0 _aLondon Mathematical Society lecture note series ;
_v209.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511526060
999 _c518239
_d518237