Abelian varieties associated to certain K3 surfaces

Kapil Paranjape

Compositio Mathematica (1988)

  • Volume: 68, Issue: 1, page 11-22
  • ISSN: 0010-437X

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Paranjape, Kapil. "Abelian varieties associated to certain K3 surfaces." Compositio Mathematica 68.1 (1988): 11-22. <http://eudml.org/doc/89925>.

@article{Paranjape1988,
author = {Paranjape, Kapil},
journal = {Compositio Mathematica},
keywords = {K3 surface; resolution of singularities; Prym variety; lattice of transcendental cycles; Kuga-Satake-Deligne correspondence},
language = {eng},
number = {1},
pages = {11-22},
publisher = {Kluwer Academic Publishers},
title = {Abelian varieties associated to certain K3 surfaces},
url = {http://eudml.org/doc/89925},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Paranjape, Kapil
TI - Abelian varieties associated to certain K3 surfaces
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 68
IS - 1
SP - 11
EP - 22
LA - eng
KW - K3 surface; resolution of singularities; Prym variety; lattice of transcendental cycles; Kuga-Satake-Deligne correspondence
UR - http://eudml.org/doc/89925
ER -

References

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  1. [D] P. Deligne: La conjecture de Weil pour les surfaces K3 Invent. Math.15 (1972) 206-226. Zbl0219.14022MR296076
  2. [G-H] P. Griffiths and J. Harris: Principles of Algebraic Geometry. John Wiley & Sons (1978). Zbl0408.14001MR507725
  3. [G-S] R. Gurjar and A.R. Shastri: Covering spaces of an elliptic surface. Comp. Math.54 (1985) 95-104. Zbl0583.14013MR782388
  4. [H-M] J. Harris and D. Mumford: On the Kodaira dimension of the moduli space of curves. Invent. Math.67 (1982) 23-86. Zbl0506.14016MR664324
  5. [K] K. Kodaira: On compact analytic surfaces. Ann. Math.77 (1973) 563-636. Zbl0118.15802
  6. [K-S] M. Kuga and I. Satake: Abelian varieties attached to polarized K3 surfaces. Math. Ann.169 (1967) 239-242. Zbl0221.14019MR210717
  7. [L] W. Landherr: Aquiv. Hermitischen Formen über algebraischen Zahlkorper. Abh. Math. Sem. Hamburg Univ.11 (1936) 245-248. Zbl0013.38901JFM62.0170.01
  8. [M] D. Morrison: The Kuga-Satake variety of an Abelian surface. J. Algebra92 (1985) 454-476. Zbl0559.14031MR778462
  9. [MN] Mangala Nori:On the lattice of transcendental cycles. Math. Zeit.193 (1986) 105-112. Zbl0619.14007MR852913
  10. [S] C. Schoen: Hodge cycles on self products on a variety with an automorphism. Comp. Math.65 (1988) 3-32. Zbl0663.14006MR930145

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