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THE KODAIRA DIMENSION OF A GRAVITATIONAL MONOPOLE

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Gourab Bhattacharya
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Abstract

This article is a step forward to prove the existence of the solution of the Gravitational monopole equations. We show using simple arguments that surfaces of Kähler type of Kodaira dimension ≥ 0 can be a solution of the Gravitational monopole equation, in particular the complex elliptic surfaces of Kodaira dimension 0 or 1 are the possible candidates.
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Dates and versions

hal-03898609 , version 1 (14-12-2022)

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  • HAL Id : hal-03898609 , version 1

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Gourab Bhattacharya. THE KODAIRA DIMENSION OF A GRAVITATIONAL MONOPOLE: A step towards the existence of a solution to the Gravitational Monopole Equations.. 2022. ⟨hal-03898609⟩
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