Sur les mauvais facteurs locaux des fonctions L attachées aux surfaces abéliennes et surfaces K-3

Jean Claude Douai

Acta Arithmetica (1995)

  • Volume: 69, Issue: 2, page 99-105
  • ISSN: 0065-1036

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Jean Claude Douai. "Sur les mauvais facteurs locaux des fonctions L attachées aux surfaces abéliennes et surfaces K-3." Acta Arithmetica 69.2 (1995): 99-105. <http://eudml.org/doc/206682>.

@article{JeanClaudeDouai1995,
author = {Jean Claude Douai},
journal = {Acta Arithmetica},
keywords = {abelian surfaces; -function; bad reduction; -adic cohomology; K3 surface; dimension of fourth cohomology group},
language = {fre},
number = {2},
pages = {99-105},
title = {Sur les mauvais facteurs locaux des fonctions L attachées aux surfaces abéliennes et surfaces K-3},
url = {http://eudml.org/doc/206682},
volume = {69},
year = {1995},
}

TY - JOUR
AU - Jean Claude Douai
TI - Sur les mauvais facteurs locaux des fonctions L attachées aux surfaces abéliennes et surfaces K-3
JO - Acta Arithmetica
PY - 1995
VL - 69
IS - 2
SP - 99
EP - 105
LA - fre
KW - abelian surfaces; -function; bad reduction; -adic cohomology; K3 surface; dimension of fourth cohomology group
UR - http://eudml.org/doc/206682
ER -

References

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  1. [1] P. Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. 52 (1980), 137-252. 
  2. [2] J. C. Douai, Dégénérescence des surfaces et principe de Hasse, J. Algebra 152 (1992), 269-288. Zbl0803.14020
  3. [3] U. Jannsen, On the l-adic cohomology of varieties over number fields and its Galois cohomology, dans: Galois Group over ℚ, Y. Ihara, K. A. Ribet and J. P. Serre (eds.), Springer, Berlin, 1989, 315-360. Zbl0703.14010
  4. [4] M. Rapoport und T. Zink, Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik, Invent. Math. 68 (1982), 21-101. Zbl0498.14010
  5. [5] I. R. Shafarevich, The influence of height on degenerations of algebraic surfaces of type K-3 (with A. V. Rudakov and T. Zink), Collected Math. Papers, Springer, 1989, 715-731. 

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