Abelian varieties in W d r ( C ) and points of bounded degree on algebraic curves

Olivier Debarre; Rachid Fahlaoui

Compositio Mathematica (1993)

  • Volume: 88, Issue: 3, page 235-249
  • ISSN: 0010-437X

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Debarre, Olivier, and Fahlaoui, Rachid. "Abelian varieties in $W^r_d(C)$ and points of bounded degree on algebraic curves." Compositio Mathematica 88.3 (1993): 235-249. <http://eudml.org/doc/90245>.

@article{Debarre1993,
author = {Debarre, Olivier, Fahlaoui, Rachid},
journal = {Compositio Mathematica},
keywords = {curves covered by curves; set of line bundles},
language = {eng},
number = {3},
pages = {235-249},
publisher = {Kluwer Academic Publishers},
title = {Abelian varieties in $W^r_d(C)$ and points of bounded degree on algebraic curves},
url = {http://eudml.org/doc/90245},
volume = {88},
year = {1993},
}

TY - JOUR
AU - Debarre, Olivier
AU - Fahlaoui, Rachid
TI - Abelian varieties in $W^r_d(C)$ and points of bounded degree on algebraic curves
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 88
IS - 3
SP - 235
EP - 249
LA - eng
KW - curves covered by curves; set of line bundles
UR - http://eudml.org/doc/90245
ER -

References

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  1. [A1] D. Abramovich, Subvarieties of Abelian Varieties and of Jacobians of Curves. Thesis, Harvard University (1991). 
  2. [A2] D. Abramovich, Addendum to Subvarieties of Abelian Varieties and of Jacobians of Curves. Unpublished. 
  3. [AH] D. Abramovich and J. Harris, Abelian varieties and curves in W d(C). Comp. Math.78 (1991), 227-238. Zbl0748.14010MR1104789
  4. [ACGH] E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris, Geometry of Algebraic curves. I. Grundlehren267 (1985), Springer Verlag. Zbl0559.14017
  5. [F] G. Faltings, Diophantine approximation on abelian varieties. Ann. of Math.133 (1991), 549-576. Zbl0734.14007MR1109353
  6. [GL] M. Green and R. Lazarsfeld, Special divisors on curves on a K3 surface. Invent. Math.89 (1987), 357-370. Zbl0625.14022MR894384
  7. [M1] S. Mori, The endomorphism ring of some abelian varieties. Japan J. of Math.2 (1976), 109-130. Zbl0339.14016MR453754
  8. [M2] S. Mori, The endomorphism ring of some abelian varieties, II. Japan J. of Math.3 (1977), 105-109. Zbl0379.14011MR529440
  9. [Mu] D. Mumford, Prym varieties, I. In Contributions to Analysis. Academic Press, 1974. Zbl0299.14018MR379510
  10. [R1] I. Reider, Vector Bundles of Rank 2 and Linear Systems on Algebraic Surfaces. Ann. of Math.127 (1988), 309-316. Zbl0663.14010MR932299
  11. [R2] I. Reider, Some applications of Bogomolov's Theorem. In Problems in the theory of surfaces and their classification, Symposia Mathematica XXXII, Academic Press, 1991. Zbl0827.14004MR1273385

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