New examples of complete Calabi-Yau metrics on ℂⁿ for n≥ 3

2017/05/24 by Conlon, Ronan J., Rochon, Frédéric
#53C55 #58J05 #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.08788

Abstract

For each n≥ 3, we construct on ℂⁿ examples of complete Calabi-Yau metrics of Euclidean volume growth having a tangent cone at infinity with singular cross-section.

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