Intersection multiplicity numbers between tropical hypersurfaces

نویسندگان

  • Benoit Bertrand
  • Frédéric Bihan
چکیده

We present several formulas for the intersection multiplicity numbers considered in [3]. These numbers are associated to any dimensional cell of the common intersection of the tropical hypersurfaces. The first formula involves a sum of generalized mixed volumes, and turns out to be equal to the absolute value of the Euler characteristic of some complex toric complete intersection. Another formula uses an alternating sum of volumes of Cayley polytopes.

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تاریخ انتشار 2013