The homology of tropical varieties

• Autores: Paul Hacking
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 59, Fasc. 3, 2008, págs. 263-273
• Idioma: inglés
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• Resumen

  • Given a closed subvariety X of an algebraic torus T, 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.