@incollection{AST_1998__251__299_0, author = {Batyrev, Victor V. and Tschinkel, Yuri}, title = {Tamagawa numbers of polarized algebraic varieties}, booktitle = {Nombre et r\'epartition de points de hauteur born\'ee}, editor = {Peyre Emmanuel}, series = {Ast\'erisque}, pages = {299--340}, publisher = {Soci\'et\'e math\'ematique de France}, number = {251}, year = {1998}, mrnumber = {1679843}, zbl = {0926.11045}, language = {en}, url = {http://archive.numdam.org/item/AST_1998__251__299_0/} }
TY - CHAP AU - Batyrev, Victor V. AU - Tschinkel, Yuri TI - Tamagawa numbers of polarized algebraic varieties BT - Nombre et répartition de points de hauteur bornée AU - Collectif ED - Peyre Emmanuel T3 - Astérisque PY - 1998 SP - 299 EP - 340 IS - 251 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1998__251__299_0/ LA - en ID - AST_1998__251__299_0 ER -
%0 Book Section %A Batyrev, Victor V. %A Tschinkel, Yuri %T Tamagawa numbers of polarized algebraic varieties %B Nombre et répartition de points de hauteur bornée %A Collectif %E Peyre Emmanuel %S Astérisque %D 1998 %P 299-340 %N 251 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1998__251__299_0/ %G en %F AST_1998__251__299_0
Batyrev, Victor V.; Tschinkel, Yuri. Tamagawa numbers of polarized algebraic varieties, in Nombre et répartition de points de hauteur bornée, Astérisque, no. 251 (1998), pp. 299-340. http://archive.numdam.org/item/AST_1998__251__299_0/
[1] Equivariant resolution of singularities in characteristic 0, alg-geom/9609013. | DOI | Zbl
, ,[2] Fractional indices of log del Pezzo surfaces, Math. USSR, Izvestia, 33 (1989), 613-629. | DOI | MR | Zbl
,[3] Theory of intersections on the arithmetic surface, in Proceedings of the International Congress of Math., Vol. 1, Canad. Math. Congress, Montreal, (1975), 405-408. | MR | Zbl
,[4] Sur le nombre des points rationnels de hauteur bornée des variétés algébriques, Math. Ann., 286, (1990), 27-43. | DOI | EuDML | MR | Zbl
, ,[5] The cone of effective divisors of threefolds, Proc. Mal'cev Conference, Contemporary Mathematics, 131, Part 3 (1992), 337-352. | MR | Zbl
,[6] Rational points of bounded height on compactifications of anisotropic tori, Intern. Math. Research Notices, 12, (1995), 591-635. | DOI | MR | Zbl
, ,[7] Manin's conjecture for toric varieties, Journal of Alg. Geometry, 7 (1998), 15-53. | MR | Zbl
, ,[8] Height zeta functions of toric varieties, Algebraic geometry, 5, (Manin's Festschrift), J. Math. Sci., 82, no. 1, (1996), 3220-3239. | MR | Zbl
, ,[9] Rational points on some Fano cubic bundles, C. R. Acad. Sci., Paris, 323, Ser. I, (1996), 41-46. | MR | Zbl
, ,[10] Linear algebraic groups, New York-Amsterdam, (1969). | MR | Zbl
,[11] Décomposition simpliciale d'un réseau, invariante par un groupe fini d'automorphismes, C. R. Acad. Sci., Paris, Sér. A-B, 288, (1979), A137-A139. | MR | Zbl
,[12] Recent developments in toric geometry, alg-geom 9606016. | Zbl
,[13] The geometry of toric varieties, Russ. Math. Surveys, 33, (1978), n. 2, 97-154. | DOI | MR | Zbl
,[14] Généralisation du théorème de Ikehara, Ann. Sci. Ecole Norm. Sup., (4), 71, (1954), 213-242. | DOI | EuDML | Numdam | MR | Zbl
,[15] La conjecture de Weil I, Inst. Hautes Études Sci. Publ. Math., 43, (1973), 273-307. | DOI | EuDML | Numdam | MR | Zbl
,[16] On the degree of Igusa's local zeta function, Amer. J. Math., 109, (1987), 991-1008. | DOI | MR | Zbl
,[17] Calculus on arithmetic surfaces, Ann. of Math., (2), 119, (1984), 387-424. | DOI | MR | Zbl
,[18] Sur la hauteur de points d'une certaine surface cubique singulière, this volume, (1996). | Numdam | Zbl
,[19] Rational points of bounded height on Fano varieties, Inventiones Math., 95, (1989), p. 421-435. | DOI | EuDML | MR | Zbl
, , ,[20] On Kodaira energy and adjoint reduction of polarized manifolds, Manuscripta Math., 76, (1992), 59-84. | DOI | EuDML | MR | Zbl
,[21] Notes on Kodaira energies of polarized varieties, Preprint, alg-geom/9205004.
,[22] Kodaira energies of polarized log varieties, Preprint, alg-geom/9305004. | DOI | Zbl
,[23] On Kodaira energy of polarized log varieties, J. Math. Soc. Japan, 48-1, (1996), 1-12. | DOI | MR | Zbl
,[24] On Kodaira energy and adjoint reduction of polarized threefolds, alg-geom/9611031. | DOI | Zbl
,[25] Introduction to toric varieties, Princeton U. Press, Princeton, (1993). | MR | Zbl
,[26] Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math., 79, (1964), 109-326. | DOI | MR | Zbl
,[27] Introduction to the Minimal Model Program, Adv. Studies in Pure Math., 10, (1987), 283-360. | DOI | MR | Zbl
, and ,[28] Boundedness of -folds, Contemp. Math., 131, (1992), 439-445. | MR | Zbl
,[29] Fundamentals of Diophantine Geometry, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, (1983). | DOI | MR | Zbl
,[30] Hauteurs et nombres de Tamagawa sur les variétés de Fano, Duke Math. J., 79, (1995), 101-218. | MR | Zbl
,[31] Heights in number fields, Bull. Soc. Math. France, 107 (1979), 433-449. | DOI | EuDML | Numdam | MR | Zbl
,[32] -dimensional Fano varieties with canonical singularities, Tokyo J. Math., 12, (1989), 375-385. | DOI | MR | Zbl
,[33] Height zeta functions of twisted products, Math. Res. Letters, 4, (1997), 273-282. | DOI | MR | Zbl
, ,[34] On a certain nonary cubic form and related equations, Duke Math. J., 80, (1995), 669-735. | DOI | MR | Zbl
, ,[35] Adèles and algebraic groups, Progr. Math., 23, Birkhäuser, Boston (1982). | MR | Zbl
,