Effective nonvanishing for Fano weighted complete intersections
نویسندگان
چکیده
منابع مشابه
Effective Non-vanishing for Fano Weighted Complete Intersections
We show that Ambro–Kawamata’s non-vanishing conjecture holds true for a quasi-smooth WCI X which is Fano or Calabi-Yau, i.e. we prove that, if H is an ample Cartier divisor on X , then |H | is not empty. If X is smooth, we further show that the general element of |H | is smooth. We then verify Ambro–Kawamata’s conjecture for any quasi-smooth weighted hypersurface. We also verify Fujita’s freene...
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It has been shown by Batyrev and Borisov that nef partitions of reflexive polyhedra can be used to construct mirror pairs of complete intersection Calabi–Yau manifolds in toric ambient spaces. We construct a number of such spaces and compute their cohomological data. We also discuss the relation of our results to complete intersections in weighted projective spaces and try to recover them as sp...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2017
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2017.11.2369