@article{ASENS_2005_4_38_1_93_0,
author = {Salberger, Per},
title = {Counting rational points on hypersurfaces of low dimension},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {93--115},
year = {2005},
publisher = {Elsevier},
volume = {Ser. 4, 38},
number = {1},
doi = {10.1016/j.ansens.2004.10.005},
mrnumber = {2136483},
zbl = {1110.14020},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.ansens.2004.10.005/}
}
TY - JOUR AU - Salberger, Per TI - Counting rational points on hypersurfaces of low dimension JO - Annales scientifiques de l'École Normale Supérieure PY - 2005 SP - 93 EP - 115 VL - 38 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.ansens.2004.10.005/ DO - 10.1016/j.ansens.2004.10.005 LA - en ID - ASENS_2005_4_38_1_93_0 ER -
%0 Journal Article %A Salberger, Per %T Counting rational points on hypersurfaces of low dimension %J Annales scientifiques de l'École Normale Supérieure %D 2005 %P 93-115 %V 38 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.ansens.2004.10.005/ %R 10.1016/j.ansens.2004.10.005 %G en %F ASENS_2005_4_38_1_93_0
Salberger, Per. Counting rational points on hypersurfaces of low dimension. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 38 (2005) no. 1, pp. 93-115. doi: 10.1016/j.ansens.2004.10.005
[1] , , , Compact Complex Surfaces, Springer-Verlag, New York, 1984. | Zbl | MR
[2] , , Adjunction Theory of Complex Projective Varieties, De Gruyter, Berlin, 1995. | Zbl | MR
[3] , , The number of integral points on arcs and ovals, Duke Math. J. 59 (1989) 337-357. | Zbl | MR
[4] , A note on a paper by R. Heath-Brown: “The density of rational points on curves and surfaces”, J. Reine Angewandte Math. 571 (2004) 159-178. | Zbl
[5] , , Counting rational points on threefolds, in: , (Eds.), Arithmetic of Higher-Dimensional Varieties, Progress in Mathematics, vol. 206, Birkhäuser, Boston, 2003. | Zbl | MR
[6] , , On the classification of cubic surfaces, J. London Math. Soc. II Ser. 19 (1979) 245-256. | Zbl | MR
[7] , A note on the distribution of rational points in threefolds, Quart. J. Math. 54 (2003) 33-39. | Zbl | MR
[8] , , Equal sums of three powers, Invent. Math. 157 (2004) 553-573. | Zbl | MR
[9] , Sulle superficie algebriche che ammettono un sistema doppiamento infinito di sezioni piani riducibili, Rend. R. Accademia dei Lincei s. V III (1) (1894). | JFM
[10] , Appendix to Heath-Brown's paper “The density of rational points on curves and surfaces”, Ann. of Math. 155 (2002) 596-598. | Zbl
[11] , Analytic Methods for Diophantine Equations and Diophantine Inequalities, Ann Arbor Publishers, Ann Arbor, 1962. | Zbl | MR
[12] , Higher-Dimensional Algebraic Geometry, Springer, New York, 2001. | Zbl | MR
[13] , , The Geometry of Schemes, Graduate Texts in Math., vol. 197, Springer-Verlag, New York, 2000. | Zbl | MR
[14] , Intersection Theory, Springer-Verlag, Berlin, 1984. | Zbl | MR
[15] Fulton W., Lazarsfeld R., Connectivity and its applications in algebraic geometry, in: Algebraic Geometry, Lecture Notes in Mathematics, vol. 862, Springer-Verlag, Berlin, pp. 26-92. | Zbl | MR
[16] , Algebraic Geometry, Graduate Texts in Math., vol. 133, Springer-Verlag, New York, 1995. | Zbl | MR
[17] , Algebraic Geometry, Graduate Texts in Math., vol. 52, Springer-Verlag, New York, 1977. | Zbl | MR
[18] Hartshorne R., Ample Subvarieties of Algebraic Varieties, Lecture Notes in Mathematics, vol. 156, Springer-Verlag, Berlin. | Zbl | MR
[19] , The density of rational points on curves and surfaces, Ann. of Math. 155 (2002) 553-595. | Zbl | MR
[20] , On Waring's problem, Quart. J. Math. Oxford Ser. 9 (1938) 199-202. | JFM
[21] , Théorèmes de Bertini et Applications, Progress in Math., vol. 42, Birkhäuser, Boston, 1983. | Zbl | MR
[22] , Exposé XVII, SGA 7 II, Springer-Verlag, Berlin, 1973. | MR
[23] , Density of integral and rational points on varieties, Astérisque 228 (1995) 183-187. | Zbl | MR | Numdam
[24] , Density of integral points on plane algebraic curves, Internat. Math. Res. Notices 96 (1996) 903-912. | Zbl | MR
[25] , Classification of algebraic manifolds, in: Proc. of the International Congress of Mathematicians, Helsinki, 1978, pp. 549-556. | Zbl | MR
[26] , Tangents and Secants of Algebraic Varieties, Translations of Mathematical Monographs, vol. 127, American Mathematical Society, Providence, RI, 1983. | Zbl | MR
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