On the Picard number of a complex projective variety

Tetsuji Shioda

Annales scientifiques de l'École Normale Supérieure (1981)

  • Volume: 14, Issue: 3, page 303-321
  • ISSN: 0012-9593

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Shioda, Tetsuji. "On the Picard number of a complex projective variety." Annales scientifiques de l'École Normale Supérieure 14.3 (1981): 303-321. <http://eudml.org/doc/82076>.

@article{Shioda1981,
author = {Shioda, Tetsuji},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Lefschetz number; rank of Neron-Severi group; Picard number},
language = {eng},
number = {3},
pages = {303-321},
publisher = {Elsevier},
title = {On the Picard number of a complex projective variety},
url = {http://eudml.org/doc/82076},
volume = {14},
year = {1981},
}

TY - JOUR
AU - Shioda, Tetsuji
TI - On the Picard number of a complex projective variety
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1981
PB - Elsevier
VL - 14
IS - 3
SP - 303
EP - 321
LA - eng
KW - Lefschetz number; rank of Neron-Severi group; Picard number
UR - http://eudml.org/doc/82076
ER -

References

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  1. [1] P. DELIGNE, Le théorème de Noether, Exp. XIX, SGA 7 II, in Groupes de Monodromie en Géométrie Algébrique (Lectures Notes in Math., No. 340, Springer, Berlin-Heidelberg-New York, 1973). Zbl0269.14019MR50 #7135
  2. [2] P. DELIGNE, Cohomologie étale (SGA 4 1/2) (Lecture Notes in Math., No. 569, Springer, Berlin-Heidelberg-New York, 1977). Zbl0345.00010MR57 #3132
  3. [3] S. LANG, Algebra, Addison-Wesley, Massachusetts, 1965. Zbl0193.34701MR33 #5416
  4. [4] M. MIZUKAMI, Birational Morphisms from certain Quartic Surfaces to Kummer Surfaces (in Japanese) (Master Thesis, Univ. of Tokyo, 1976). 
  5. [5] V. V. NIKULIN, Finite Automorphism Groups of Kähler K3 Surfaces (in Russian) (Mem. Moscow Math. Soc., Vol. 38, 1979, pp. 75-137). Zbl0433.14024MR81e:32033
  6. [6] N. SASAKURA, On some Results on the Picard Numbers of certain Algebraic Surfaces (J. Math. Soc. Japan, Vol. 20, 1968, pp. 297-321). Zbl0202.51801MR37 #4075
  7. [7] T. SHIODA, The Hodge Conjecture for Fermat Varieties (Math. Ann., Vol. 245, 1979, pp. 175-184). Zbl0403.14007MR80k:14035
  8. [8] T. SHIODA and T. KATSURA, On Fermat Varieties (Tôhoku Math. J., Vol. 31, 1979, pp. 97-115). Zbl0415.14022MR80g:14033
  9. [9] J. TATE, Algebraic Cycles and Poles of Zeta Functions, in Arithmetical Algebraic Geometry, Harper and Row, New York, 1965. Zbl0213.22804MR37 #1371
  10. [10] E. BRIESKORN, Die Auflösung der rationalen Singularitäten holomorpher Abbildungen (Math. Ann., Vol. 178, 1968, pp. 255-270). Zbl0159.37703MR38 #2140

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