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.
A Calabi-Yau threefold coming from two black holes / D. Festi, L. VAN GEEMEN. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 186:(2023 Apr), pp. 104753.1-104753.16. [10.1016/j.geomphys.2023.104753]
A Calabi-Yau threefold coming from two black holes
D. Festi
Primo
;L. VAN GEEMENUltimo
2023
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.
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