Intersection Theory on Linear Subvarieties of Toric Varieties

29 Nov 2016  ·  Gross Andreas ·

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 $\operatorname{Trop}(Z)$...

PDF Abstract
No code implementations yet. Submit your code now

Categories


Algebraic Geometry