Birational Maps between Calabi-yau Manifolds Associated to Webs of Quadrics
نویسنده
چکیده
We consider two varieties associated to a web of quadrics W in P. One is the base locus and the second one is the double cover of P branched along the determinant surface of W . We show that small resolutions of these varieties are Calabi-Yau manifolds. We compute their Betti numbers and show that they are not birational in the generic case. The main result states that if the base locus of W contains a plane then in the generic case the two varieties are birational.
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