Singular improper affine spheres from a given Lagrangian submanifold☆
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open access
MSC
53A15
53D12
58K40
58K70
Keywords
Affine differential geometry
parabolic affine spheres
Geometric analysis
solutions of Monge-Ampère equation
Symplectic geometry
special Kähler manifolds
Lagrangian submanifolds
Singularity theory
Lagrangian/Legendrian singularities
symmetric singularities
Cited by (0)
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The first author thanks CNPq (grant 304314/2017-0) and the third author thanks FAPESP (grants 2015/02029-1, 2016/09249-0) for partial support during the preparation of this manuscript. Both authors also thank CAPES (finance code 001) for partial support. The research of the second author was partially supported by NCN (grant DEC-2013/11/B/ST1/03080).
© 2020 The Authors. Published by Elsevier Inc.