2 citations · 4 across the 10 of their papers we have counts for
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Equivariant non-archimedean Arakelov theory of toric varieties
Ana María Botero
We develop an equivariant version of the non-archimedean Arakelov theory of [BGS95] in the case of toric varieties. We define the equivariant analogues of the non-archimedean diffe…
On Chow groups of toric schemes over a DVR
Ana María Botero
We give an explicit combinatorial presentation of the Chow groups of a toric scheme over a DVR. As an application, we compute the Chow groups of several toric schemes over a DVR an…
Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated
Ana María Botero, José Ignacio Burgos Gil, David Holmes +1
We show that the ring of Siegel-Jacobi forms of fixed degree and of fixed or bounded ratio between weight and index is not finitely generated. Our main tool is the theory of toroid…
Generalized Minkowski weights and Chow rings of T-varieties
Ana María Botero
We give a combinatorial characterization of Fulton's operational Chow cohomology groups of a complete , $\Q$-factorial, rational T-variety of complexity one in terms of so called g…