| Autor: |
Botero, Ana María, Gil, José Ignacio Burgos |
| Zdroj: |
Mathematische Zeitschrift; Jan2022, Vol. 300 Issue 1, p579-637, 59p |
| Abstrakt: |
We generalize the intersection theory of nef toric (Weil) b-divisors on smooth and complete toric varieties to the case of nef b-divisors on complete varieties which are toroidal with respect to a snc divisor. As a key ingredient we show the existence of a limit measure, supported on a balanced rational conical polyhedral space attached to the toroidal embedding, which arises as a limit of discrete measures defined via tropical intersection theory on the polyhedral space. We prove that the intersection theory of nef Cartier b-divisors can be extended continuously to nef toroidal Weil b-divisors and that their degree can be computed as an integral with respect to this limit measure. As an application, we show that a Hilbert–Samuel type formula holds for big and nef toroidal Weil b-divisors. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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