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Weierstrass models

2021/02/26 by Ying Zong, Zong, Ying
Mathematics · #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2103.00042

Abstract

Elliptic K3 admit contraction to plane models, the Weierstrass models. We define a higher dimensional notion of Weierstrass models, show that they are compactification of torsors in a unique form, and propose an application to the kahler geometry of a class of lagrangian fibrations on irreducible symplectic manifolds.

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