On the Picard number of singular Fano varieties

@article{Noce2012OnTP,
  title={On the Picard number of singular Fano varieties},
  author={Gloria Della Noce},
  journal={arXiv: Algebraic Geometry},
  year={2012}
}
Let X be a Q-factorial Gorenstein Fano variety. Suppose that the singularities of X are canonical and that the locus where they are non-terminal has dimension zero. Let D be a prime divisor of X. We show that rho_X - rho_D 3, there exists a finite morphism from X to S x Y, where S is a surface with rho_S at most 9. As an application we prove that, if X has dimension 3, then rho_X is at most 10. 
12 Citations
On some Fano manifolds admitting a rational fibration
  • C. Casagrande
  • Mathematics, Computer Science
  • J. Lond. Math. Soc.
  • 2014
  • 3
  • PDF
Fano 4-folds, flips, and blow-ups of points
  • 3
  • PDF
Fano 4-folds with rational fibrations
  • 1
  • PDF
Non-elementary Fano conic bundles.
  • 7
  • PDF
On some Fano 4-folds with Lefschetz defect 3
  • PDF
Non-elementary Fano conic bundles
  • 2
...
1
2
...

References

SHOWING 1-10 OF 29 REFERENCES
...
1
2
3
...