Non-elementary Fano conic bundles.

@inproceedings{Romano2016NonelementaryFC,
  title={Non-elementary Fano conic bundles.},
  author={E. Romano},
  year={2016}
}
  • E. Romano
  • Published 2016
  • Mathematics
  • We study a particular kind of fiber type contractions between complex, projective, smooth varieties f:X->Y, called Fano conic bundles. This means that X is a Fano variety, and every fiber of f is isomorphic to a plane conic. Denoting by rho_{X} the Picard number of X, we investigate such contractions when rho_{X}-rho_{Y} is greater than 1, called non-elementary. We prove that rho_{X}-rho_{Y} is at most 8, and we deduce new geometric information about our varieties, depending on rho_{X}-rho_{Y… CONTINUE READING
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