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math.AG2026
Intersection numbers as mixed volumes of Newton-Okounkov bodies
Robert Wilms
In this paper we express any intersection number of ample line bundles on an irreducible projective variety as the mixed volume $V(Î_{Y_\bullet}(L_1),\…
math.AG2026
On the additivity of Newton-Okounkov bodies
Robert Wilms
We study the additivity of Newton-Okounkov bodies. Our main result states that on two-dimensional subcones of the ample cone the Newto-Okounkov body associated to an appropriate fl…
math.AG2024
Some Differential Equations for the Riemann -Function on Jacobians
Robert Wilms
We prove some differential equations for the Riemann theta function associated to the Jacobian of a Riemann surface. The proof is based on some variants of a formula by Fay for the…