Ju n 20 07 GENERIC VANISHING AND MINIMAL COHOMOLOGY CLASSES ON ABELIAN VARIETIES

@inproceedings{Pareschi2006JuN2,
  title={Ju n 20 07 GENERIC VANISHING AND MINIMAL COHOMOLOGY CLASSES ON ABELIAN VARIETIES},
  author={Giuseppe Pareschi and Mihnea Popa},
  year={2006}
}
We establish a – and conjecture further – relationship between the existence of subvarieties representing minimal cohomology classes on principally polarized abelian varieties, and the generic vanishing of the cohomology of twisted ideal sheaves. The main ingredient is the Generic Vanishing criterion established in [PP3], based on the Fourier-Mukai transform. 

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References

Publications referenced by this paper.
Showing 1-10 of 22 references

2nd edition

  • H. Lange, Ch. Birkenhake, Complex abelian varieties
  • Springer-Verlag
  • 2004

Hacon, A derived category approach to generic vanishing

  • Hac Ch
  • J. Reine Angew. Math
  • 2004

Höring , in preparation . [ Ho ] William L . Hoyt , On products and algebraic families of jacobian varieties

  • A. Hö
  • J . Reine Angew . Math .
  • 2004

Vector bundles on complex projective spaces

  • H. Spindler
  • Mth . Proc . Camb . Phil . Soc .
  • 1999

Intersection theory

  • W. Fulton
  • Second edition, Springer-Verlag, Berlin
  • 1998

Minimal cohomology classes and Jacobians

  • O. Debarre
  • J. Alg. Geom
  • 1995

Deformation theory , generic vanishing theorems , and some conjectures of Enriques , Catanese and Beauville

  • R. Lazarsfeld
  • Invent . Math .
  • 1987

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