Gauss sums and algebraic cycles
Compositio Mathematica, Volume 63 (1987) no. 2, p. 145-158
@article{CM_1987__63_2_145_0,
     author = {Turner, S.},
     title = {Gauss sums and algebraic cycles},
     journal = {Compositio Mathematica},
     publisher = {Martinus Nijhoff Publishers},
     volume = {63},
     number = {2},
     year = {1987},
     pages = {145-158},
     zbl = {0635.14014},
     mrnumber = {906367},
     language = {en},
     url = {http://www.numdam.org/item/CM_1987__63_2_145_0}
}
Turner, S. Gauss sums and algebraic cycles. Compositio Mathematica, Volume 63 (1987) no. 2, pp. 145-158. http://www.numdam.org/item/CM_1987__63_2_145_0/

1 S. Abhyankar: Resolution of singularities of arithmetical surfaces. In: Arithmetical Algebraic Geometry, ed. O. F. G. Schilling. Harper and Row, New York (1965). | MR 200272 | Zbl 0147.20503

2 P. Deligne (notes by J.S. Milne): Hodge cycles on abelian varieties. In: Hodge Cycles, Motives, and Shimura Varieties. Lecture Notes in Math. 900. Springer-Verlag, Berlin, Heidelberg, New York (1982). | Zbl 0537.14006

3 W.J. Gordon: Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer. Compositio Math. 38, 2 (1979) 163-199. | Numdam | MR 528839 | Zbl 0425.14003

4 A. Grothendieck: Le groupe de Brauer III. In: Dix exposés sur la cohomologie des schémas. North-Holland, Amsterdam (1968). | Zbl 0198.25901

5 M. Gros: Classes de Chern et classes de cycles en cohomologie logarithmique, These 3° cycle. Universite de Paris-Sud, Centre d'Orsay (1983). | Numdam | Zbl 0615.14011

6 P. Hriljac: Heights and Arakelov's intersection theory. Amer. J. Math. 107, 1 (1986) 23-38. | MR 778087 | Zbl 0593.14004

7 M. Knebush and W. Scharlau: Quadratische Formen und quadratische Reziprozitätsgesetze über algebraischen Zahlkörpern. Math. Z. 121 (1971) 346-368. | MR 351998 | Zbl 0216.04602

8 S. Lang: Fundamentals of Diophantine Geometry. Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, (1983). | MR 715605 | Zbl 0528.14013

9 S. Lang and A. Néron: Rational points of abelian varieties over function fields. Amer. J. Math. 81 (1959) 95-118. | MR 102520 | Zbl 0099.16103

10 S. Lichtenbaum: Curves over discrete valuation rings. Amer. J. Math. 90 (1968) 380-405. | MR 230724 | Zbl 0194.22101

11 J.S. Milne: On a conjecture of Artin and Tate. Ann. Math. (2) 102 (1975) 517-533. | MR 414558 | Zbl 0343.14005

12 J.S. Milne: Étale Cohomology. Princeton University Press, Princeton (1980). | MR 559531 | Zbl 0433.14012

13 A. Néron: Modèles minimaux des variétés abéliennes sur les corps locaux et globaux. Inst. Hautes Études Sci. Publ. Math. 21 (1964) 361-484. | Numdam | MR 179172 | Zbl 0132.41403

14 A. Néron: Quasi-fonctions et hauteurs sur les variétés abéliennes. Ann. Math. 82 (1965) 249-331. | MR 179173 | Zbl 0163.15205

15 H. Reiter: Über den Satz von Weil-Cartier. Monatsh. Math. 86 (1978) 13-62. | MR 510632 | Zbl 0396.43015

16 I.R. Shafarevich: Lectures on Minimal Models and Birational Transformations of Two Dimensional Schemes. Tata Institute of Fundamental Research, Bombay (1966). | MR 217068 | Zbl 0164.51704

17 J. Tate: Fourier analysis in number fields and Hecke's zeta-functions. In: Algebraic Number Theory, eds. J.W.S. Cassels and A. Fröhlich. Thompson Book Company Inc., Washington, DC (1967). | MR 217026

18 J. Tate: Algebraic cycles and poles of zeta functions. In: Arithmetical Algebraic Geometry, ed. O.F.G. Schilling. Harper and Row, New York (1965). | MR 225778 | Zbl 0213.22804

19 J. Tate: On the conjectures of Birch and Swinnerton-Dyer and a geometric analog. In: Dix exposés sur la cohomologie des schémas. North-Holland, Amsterdam (1968). | Numdam | Zbl 0199.55604

20 A. Weil: Sur certains groupes d'opérateurs unitaires. Acta Math. 111 (1964) 143-211. | MR 165033 | Zbl 0203.03305

21 A. Weil: Basic Number Theory, third edition. Springer-Verlag, New York, Heidelberg, Berlin (1974). | MR 427267 | Zbl 0326.12001