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Mathematics > Differential Geometry

arXiv:2210.01345 (math)
[Submitted on 4 Oct 2022]

Title:Lecture notes on generalized Monge-Ampère equations and subvarieties

Authors:Gao Chen
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Abstract:These are the lecture notes for the Morningside Center of Mathematics Geometry Summer School on August 15-20, 2022. These lectures sketch the results by Yau, Demailly-Paun, the author, and Datar-Pingali about generalized Monge-Ampère equations and subvarieties and aim to use these results to study the Hodge conjecture.
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG); Complex Variables (math.CV)
Cite as: arXiv:2210.01345 [math.DG]
  (or arXiv:2210.01345v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.2210.01345

Submission history

From: Gao Chen [view email]
[v1] Tue, 4 Oct 2022 03:29:18 UTC (15 KB)
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