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2020 Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds
Carolyn Gordon, Eran Makover, Bjoern Muetzel, David Webb
Tohoku Math. J. (2) 72(1): 127-147 (2020). DOI: 10.2748/tmj/1585101624

Abstract

We give a general method for constructing compact Kähler manifolds $X_1$ and $X_2$ whose intermediate Jacobians $J^k(X_1)$ and $J^k(X_2)$ are isogenous for each $k$, and we exhibit some examples. The method is based upon the algebraic transplantation formalism arising from Sunada's technique for constructing pairs of compact Riemannian manifolds whose Laplace spectra are the same. We also show that the method produces compact Riemannian manifolds whose Lazzeri Jacobians are isogenous.

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Carolyn Gordon. Eran Makover. Bjoern Muetzel. David Webb. "Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds." Tohoku Math. J. (2) 72 (1) 127 - 147, 2020. https://doi.org/10.2748/tmj/1585101624

Information

Published: 2020
First available in Project Euclid: 25 March 2020

zbMATH: 07199990
MathSciNet: MR4079427
Digital Object Identifier: 10.2748/tmj/1585101624

Subjects:
Primary: 14K02
Secondary: 14C30, 14K30, 32J27, 32Q15, 53C20, 58G25

Rights: Copyright © 2020 Tohoku University

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Vol.72 • No. 1 • 2020
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