In this paper, we show that a set of six square roots of homogeneous polynomials in four variables, related to a binary system of black holes studied by Stefan Weinzierl, is not rationalizable. We prove it by showing that the variety X associated to the product of four of the six square roots is not unirational. In particular, we show that the smooth model of X is a Calabi-Yau threefold.(c) 2023 Elsevier B.V. All rights reserved.
A Calabi–Yau threefold coming from two black holes
Festi D.;
2023-01-01
Abstract
In this paper, we show that a set of six square roots of homogeneous polynomials in four variables, related to a binary system of black holes studied by Stefan Weinzierl, is not rationalizable. We prove it by showing that the variety X associated to the product of four of the six square roots is not unirational. In particular, we show that the smooth model of X is a Calabi-Yau threefold.(c) 2023 Elsevier B.V. All rights reserved.File in questo prodotto:
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