4 citations · 4 across the 6 of their papers we have counts for
6 papers
Scheme theory for commutative semirings
Roberto Gualdi, Arne Kuhrs, Mayo Mayo Garcia +1
In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also c…
Heights of complete intersections in toric varieties
Roberto Gualdi, Martín Sombra
The height of a toric variety and that of its hypersurfaces can be expressed in convex-analytic terms as an adelic sum of mixed integrals of their roof functions and duals of their…
Limit heights and special values of the Riemann zeta function
Roberto Gualdi, Martín Sombra
We study the distribution of the height of the intersection between the projective line defined by the linear polynomial and its translate by a torsion point. W…
Numerical equivalence of -divisors and Shioda-Tate formula for arithmetic varieties
Paolo Dolce, Roberto Gualdi
Let be an arithmetic variety over the ring of integers of a number field , with smooth generic fiber . We give a formula that relates the dimension of the first Arakelo…
Higher dimensional essential minima and equidistribution of cycles
Roberto Gualdi, César Martínez
The essential minimum and equidistribution of small points are two well-established interrelated subjects in arithmetic geometry. However, there is lack of an analogue of essential…
Heights of hypersurfaces in toric varieties
Roberto Gualdi
For a cycle of codimension 1 in a toric variety, its degree with respect to a nef toric divisor can be understood in terms of the mixed volume of the polytopes associated to the di…