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The weak Lefschetz principle is false for ample cones.

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Publication:700536
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DOI10.4310/AJM.2002.v6.n1.a5zbMath1052.14013MaRDI QIDQ700536

Chin-Lung Wang, Hui-Wen Lin, Brendan Hassett

Publication date: 22 October 2002

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

pullback of ample divisors


Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) (Co)homology theory in algebraic geometry (14F99)


Related Items (8)

Counterexamples of Lefschetz hyperplane type results for movable cones ⋮ Remarks on nef and movable cones of hypersurfaces in Mori dream spaces ⋮ Curve classes on Calabi–Yau complete intersections in toric varieties ⋮ On the birational geometry of Hilbert schemes of points and Severi divisors ⋮ The Lefschetz Principle in Birational Geometry: Birational Twin Varieties ⋮ A Lefschetz hyperplane theorem for Mori dream spaces ⋮ Connections between the geometry of a projective variety and of an ample section ⋮ Birational geometry of hypersurfaces in products of projective spaces




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