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
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• Resumen

  • We give a complete description of the cohomology ring ?∗(?⎯⎯⎯⎯⎯) of a compactification of a linear subvariety ? of a torus in a smooth toric variety whose fan Σ is supported on the tropicalization of ? . It turns out that cocycles on ?⎯⎯⎯⎯⎯ canonically correspond to Minkowski weights on Σ and that the cup product is described by the intersection product on the tropical matroid variety Trop(?) .