We give the first examples of flat fiber type contractions of Fano manifolds onto varieties that are not weak Fano, and we prove that these morphisms are Fano conic bundles. We also review some known results about the interaction between the positivity properties of anticanonical divisors of varieties of contractions.
POSITIVITY OF ANTICANONICAL DIVISORS FROM THE VIEWPOINT OF FANO CONIC BUNDLES / Romano, Ea. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - 56:1(2019), pp. 65-74.
POSITIVITY OF ANTICANONICAL DIVISORS FROM THE VIEWPOINT OF FANO CONIC BUNDLES
Romano, EA
2019-01-01
Abstract
We give the first examples of flat fiber type contractions of Fano manifolds onto varieties that are not weak Fano, and we prove that these morphisms are Fano conic bundles. We also review some known results about the interaction between the positivity properties of anticanonical divisors of varieties of contractions.File in questo prodotto:
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