The diagonal of tropical matroid varieties and cycle intersections

• Autores: Georges Francois, Johannes Rau
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 2, 2013, págs. 185-210
• Idioma: inglés
• DOI: 10.1007/s13348-012-0072-1
• Texto completo no disponible (Saber más ...)
• Resumen

  • We define an intersection product of tropical cycles on matroid varieties (via cutting out the diagonal) and show that it is well-behaved. In particular, this enables us to intersect cycles on moduli spaces of tropical rational marked curves \mathcal M _n and \mathcal M _n^{\text{ lab}}(\Delta , \mathbb R ^r). This intersection product can be extended to smooth varieties (whose local models are matroid varieties). We also study pull-backs of cycles and rational equivalence.