Open AccessThe homology of tropical varieties
Author(s) -
Paul Hacking
Publication year - 2008
Publication title -
collectanea mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.715
H-Index - 21
eISSN - 2038-4815
pISSN - 0010-0757
DOI - 10.1007/bf03191187
Subject(s) - subvariety , mathematics , homology (biology) , torus , algebraic variety , pure mathematics , algebraic number , variety (cybernetics) , geometry , mathematical analysis , biochemistry , statistics , chemistry , gene
Given a closed subvarietyX of an algebraic torusT, the associated tropical variety is a polyhedral fan in the space of 1-parameter subgroups of the torus which describes the behaviour of the subvariety at infinity. We show that the link of the origin has only top rational homology if a genericity condition is satisfied.
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