Intersection theory on linear subvarieties of toric varieties

• Autores: Andreas Gross
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 2, 2015, págs. 175-190
• Idioma: inglés
• DOI: 10.1007/s13348-014-0129-4
• Texto completo no disponible (Saber más ...)
• Resumen

  • We give a complete description of the cohomology ring A^*(\overline{Z}) of a compactification of a linear subvariety Z of a torus in a smooth toric variety whose fan \Sigma is supported on the tropicalization of Z. It turns out that cocycles on \overline{Z} canonically correspond to Minkowski weights on \Sigma and that the cup product is described by the intersection product on the tropical matroid variety {{\mathrm{Trop}}}(Z).

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