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- W2270342017 abstract "We consider the finiteness problem for central configurations of the $n-$body problem. We prove that, for $ngeq4$, there exists a (Zariski) closed subset $B$ in the mass space $mathbb{R}^{n}$, such that if $(m_1,...,m_n) in mathbb{R}^nsetminus B$, then there is a finite number of corresponding classes of $(n-2)-$dimensional central configurations for potential associated to a semi-integer exponent. Also, we obtain trilinear homogeneous polynomial equations of degree $3$ for central configurations of fixed dimension and, for each integer $k geq 1$, we show that the set of mutual distances associated to a $k-$dimensional central configuration is contained in a determinantal algebraic set." @default.
- W2270342017 created "2016-06-24" @default.
- W2270342017 creator A5038479946 @default.
- W2270342017 date "2015-08-26" @default.
- W2270342017 modified "2023-09-27" @default.
- W2270342017 title "New equations for central configurations and generic finiteness" @default.
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