Positivity of anticanonical divisors from the viewpoint of Fano conic bundles
classification
🧮 math.AG
keywords
fanoanticanonicalbundlesconiccontractionsdivisorspositivityvarieties
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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.
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