Families of Rationally Connected Varieties

@inproceedings{Harris2002FamiliesOR,
  title={Families of Rationally Connected Varieties},
  author={Joe Harris and Jeffrey Starr},
  year={2002}
}
Recall that a proper variety X is said to be rationally connected if two general points p, q ∈ X are contained in the image of a map g : P → X. This is clearly a birationally invariant property. When X is smooth, this turns out to be equivalent to the a priori weaker condition that two general points can be joined by a chain of rational curves and also to the a priori stronger condition that for any finite subset Γ ⊂ X, there is a map g : P → X whose image contains Γ and such that gTX is an… CONTINUE READING
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References

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Showing 1-9 of 9 references

Zur Theorie der Riemann’schen Flachen

  • A. Clebsch
  • Math Ann. 6 (1872), 216-230 Springer-Verlag…
  • 1996
Highly Influential
4 Excerpts

MR 93 k : 14050 [ C ] A . Clebsch , Zur Theorie der Riemann ’ schen Flachen

  • R. Pandharipande Fantechi
  • 1996

A note on Hurwitz schemes of covers of a positive genus curve , preprint alggeom / 0205056 . [ H ] A . Hurwitz , Ueber Riemann ’ sche Flächen mit gegebenen Verzweigungspunkten ,

  • R. Pandharipande W. Fulton, J. Harris, J. Starr
  • Math . Ann .
  • 1969

Hurwitz schemes and moduli of curves

  • W. Fulton
  • Annals of Math
  • 1969

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