1 citations · 1 across the 7 of their papers we have counts for
8 papers
Catalan-many tropical morphisms to trees; Part II: A space and a count
Alejandro Vargas
In their work on Brill-Noether theory, Eisenbud and Harris established the geometry of the universal parameter space of linear series over curves, proving that for even genus a…
Toolkit for the algebraic geometer
Sourayan Banerjee, Oliver Lorscheid, Alejandro Martínez Méndez +1
In this text, we outline a theory of schemes associated with a site, which generalizes a variety of geometries, such as manifolds, schemes, analytic spaces, simplicial complexes, a…
Elliptic arrangements of complex multiplication type
Luca Moci, Roberto Pagaria, Maddalena Pismataro +1
We provide a natural definition of an elliptic arrangement, extending the classical framework to an elliptic curve E with complex multiplication. We analyse the intersections of el…
Combinatorics of higher-dimensional tropical covers
Alejandro Vargas
We develop a combinatorial framework to study certain polyhedral maps which are higher-dimensional analogues of tropical covers between metric graphs. Under a mild combinatorial as…
Buildings, valuated matroids, and tropical linear spaces
Luca Battistella, Kevin Kuehn, Arne Kuhrs +2
Affine Bruhat--Tits buildings are geometric spaces extracting the combinatorics of algebraic groups. The building of parametrizes flags of subspaces/lattices in or,…
One-quasihomomorphisms from the integers into symmetric matrices
Tim Seynnaeve, Nafie Tairi, Alejandro Vargas
A function from to the symmetric matrices over an arbitrary field of characteristic is a -quasihomomorphism if the matrix has ran…
A short note on Cayley-Salmon equations
Marvin Anas Hahn, Sara Lamboglia, Alejandro Vargas
A Cayley-Salmon equation for a smooth cubic surface in is an expression of the form such that the zero set is and , are…
Catalan-many tropical morphisms to trees; Part I: Constructions
Jan Draisma, Alejandro Vargas
We investigate the tree gonality of a genus- metric graph, defined as the minimum degree of a tropical morphism from any tropical modification of the metric graph to a metric tr…