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On the values of the zeta function of a variety over a finite field

Peter Schneider

Compositio Mathematica (1982)

  • Volume: 46, Issue: 2, page 133-143
  • ISSN: 0010-437X

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Schneider, Peter. "On the values of the zeta function of a variety over a finite field." Compositio Mathematica 46.2 (1982): 133-143. <http://eudml.org/doc/89549>.

@article{Schneider1982,
author = {Schneider, Peter},
journal = {Compositio Mathematica},
keywords = {values of zeta function; finite ground field; zeta function; Galois descent},
language = {eng},
number = {2},
pages = {133-143},
publisher = {Martinus Nijhoff Publishers},
title = {On the values of the zeta function of a variety over a finite field},
url = {http://eudml.org/doc/89549},
volume = {46},
year = {1982},
}

TY - JOUR
AU - Schneider, Peter
TI - On the values of the zeta function of a variety over a finite field
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 46
IS - 2
SP - 133
EP - 143
LA - eng
KW - values of zeta function; finite ground field; zeta function; Galois descent
UR - http://eudml.org/doc/89549
ER -

References

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  1. [1] P. Bayer and J. Neukirch: On values of zeta functions and l-adic Euler characteristics. Inventiones Math.50 (1978) 35-64. Zbl0409.12018MR516603
  2. [2] P. Deligne: La conjecture de Weil I. Publ. Math. IHES43 (1975) 273-303. Zbl0287.14001MR340258
  3. [3] R. Hoobler: Brauer groups of abelian schemes. Ann. Sci. E.N.S.5 (1972) 45-70. Zbl0239.14017MR311664
  4. [4] S.L. Kleiman: Algebraic cycles and the Weil conjectures. In Dix exposés sur la cohomologie des schémas, North-Holland Publ., Amsterdam1968, pp. 359-386. Zbl0198.25902MR292838
  5. [5] J.S. Milne: On a conjecture of Artin and Tate. Ann. Math.102 (1975) 517-533. Zbl0343.14005MR414558
  6. [6] J.S. Milne: Etale Cohomology. Princeton Univ. Press1980. Zbl0433.14012MR559531
  7. [7] D. Mumford: Bi-extensions of formal groups. In Algebraic Geometry, Bombay1968, Oxford Univ. Press1969, pp. 307-322. Zbl0216.33101MR257089
  8. [8] D. Mumford: Abelian Varieties. Oxford Univ. Press1974. Zbl0326.14012
  9. [9] J. Roberts: Chow's moving lemma. In Algebraic Geometry, Oslo1970 (F. Oort, ed.), Wolters-Noordhoff1972, pp. 89-96. Zbl0237.00014MR382269
  10. [10] J.-P. Serre: Zeta and L Functions, In Arithmetical Algebraic Geometry, Conf. Purdue Univ. 1963, pp. 82-92. Zbl0171.19602MR194396
  11. [11] J. Tate: Algebraic cycles and poles of zeta functions. In Arithmetical Algebraic Geometry, Conf. Purdue Univ. 1963, pp. 93-110. Zbl0213.22804MR225778
  12. [12] J. Tate: On the conjecture of Birch and Swinnerton-Dyer and a geometric analog. Sém. Bourbaki1966, exp. 306. Zbl0199.55604
  13. [13] J. Tate: Endomorphisms of abelian varieties over finite fields. Inventiones Math.2 (1966) 134-144. Zbl0147.20303MR206004
  14. SGA 41/2 Cohomologie Etale,par P. DeligneSpringer Lect. Notes in Math. 569, Heidelberg1977. Zbl0349.14008MR463174

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