29 citations · 185 across the 37 of their papers we have counts for
45 papers
Two comparison theorems for semiring schemes
Oliver Lorscheid
In this note, we compare the two approaches to semiring schemes as topological spaces with a structure sheaf and as a functor of points. We explain and prove the following two resu…
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…
Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and -points
Manoel Jarra, Oliver Lorscheid, Eduardo Vital
In this paper, we introduce morphisms for matroids with coefficients (in the sense of Baker and Bowler) and quiver matroids. We investigate their basic properties, such as functori…
Towards the horizons of Tits's vision -- on band schemes, crowds and F1-structures
Oliver Lorscheid, Koen Thas
This text is dedicated to Jacques Tits's ideas on geometry over F1, the field with one element. In a first part, we explain how thin Tits geometries surface as rational point sets…
Flag matroids with coefficients
Manoel Jarra, Oliver Lorscheid
This paper is a direct generalization of Baker-Bowler theory to flag matroids, including its moduli interpretation as developed by Baker and the second author for matroids. More ex…
Automorphic forms for PGL(3) over elliptic function fields. Part 1: Graphs of Hecke operators
Roberto Alvarenga, Oliver Lorscheid, Valdir Pereira Júnior
This is a first part of a series of papers in which we develop explicit computational methods for automorphic forms for GL(3) and PGL(3) over elliptic function fields. In this firs…