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On geometry of binary symmetric models of phylogenetic trees

Weronika Buczyńska, Jaroslaw A. Wiśniewski (2007)

Journal of the European Mathematical Society

We investigate projective varieties which are binary symmetric models of trivalent phylogenetic trees. We prove that they have Gorenstein terminal singularities and are Fano varieties of index 4 and dimension equal to the number of edges of the tree in question. Moreover any two such varieties which are of the same dimension are deformation equivalent, that is, they are in the same connected component of the Hilbert scheme of the projective space. As an application we provide a simple formula for...

On glueing curves on surfaces and zero cycles

Hursit Önsiper (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The structure of the group H 2 X , K 2 of a surface X with prescribed singularities is investigated.

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