Faisceaux pervers, transformation de Mellin et déterminants
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François Loeser (1996)
Mémoires de la Société Mathématique de France
Adrian Langer (1997)
Manuscripta mathematica
François Ducrot (1990)
Bulletin de la Société Mathématique de France
Arnaud Beauville (1991)
Bulletin de la Société Mathématique de France
Jan Draisma, Rob H. Eggermont (2015)
Journal of the European Mathematical Society
Equivariant tree models are statistical models used in the reconstruction of phylogenetic trees from genetic data. Here equivariant§ refers to a symmetry group imposed on the root distribution and on the transition matrices in the model. We prove that if that symmetry group is Abelian, then the Zariski closures of these models are defined by polynomial equations of bounded degree, independent of the tree. Moreover, we show that there exists a polynomial-time membership test for that Zariski closure....
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