Add to ORKGWe develop a theory for quotients of geometries and obtain sufficient conditions for the quotient of a geometry to be a geometry. These conditions are compared with earlier work on quotients, in particular by Pasini and Tits. We also explore geometric properties such as connectivity, firmness and transitivity conditions to determine when they are preserved under the quotienting operation. We show that the class of coset pregeometries, which contains all flag-transitive geometries, is closed under an appropriate quotienting operation. MSC2000: 05B25, 51E24, 20B25.
AbstractGeometries on finite partially ordered sets extend the concept of matroids on finite sets to...
We study Aat flag-transitive c.c*-geometries. We prove that, apart from one exception related to Sym...
AbstractWe give a complete combinatorial description of all possible positions of a geometric subspa...
In this article we explore combinatorial trialities of incidence geometries. We give a construction ...
Geometric Invariant Theory is the study of quotients in the context of algebraic geometry. Many obje...
This book gives an introduction to the field of Incidence Geometry by discussing the basic families ...
AbstractThe Handbook of Incidence Geometry (Handbook of Incidence Geometry, Buildings and Foundation...
Causal geometries are geometric structures on manifolds for which a (non-degenerate) null cone exist...
Our purpose is to elaborate a theory of planar nets or unfoldings for polyhedra, its generalization ...
this paper. These conditions are even useful when the geometric quotient does not exist globally. Na...
Some relations between permutation sets and certain incidence structures (in particular: Minkowski p...
The incidence structures known as (alpha, beta)-geometries are a generalization of partial geometrie...
AbstractWe consider flag-transitive P-geometries that are geometries belonging to the diagrams [form...
AbstractThe incidence structures known as (α,β)-geometries are a generalization of partial geometrie...
The workshop was set up in order to stimulate the interaction between (finite and algebraic) geometr...
AbstractGeometries on finite partially ordered sets extend the concept of matroids on finite sets to...
We study Aat flag-transitive c.c*-geometries. We prove that, apart from one exception related to Sym...
AbstractWe give a complete combinatorial description of all possible positions of a geometric subspa...
In this article we explore combinatorial trialities of incidence geometries. We give a construction ...
Geometric Invariant Theory is the study of quotients in the context of algebraic geometry. Many obje...
This book gives an introduction to the field of Incidence Geometry by discussing the basic families ...
AbstractThe Handbook of Incidence Geometry (Handbook of Incidence Geometry, Buildings and Foundation...
Causal geometries are geometric structures on manifolds for which a (non-degenerate) null cone exist...
Our purpose is to elaborate a theory of planar nets or unfoldings for polyhedra, its generalization ...
this paper. These conditions are even useful when the geometric quotient does not exist globally. Na...
Some relations between permutation sets and certain incidence structures (in particular: Minkowski p...
The incidence structures known as (alpha, beta)-geometries are a generalization of partial geometrie...
AbstractWe consider flag-transitive P-geometries that are geometries belonging to the diagrams [form...
AbstractThe incidence structures known as (α,β)-geometries are a generalization of partial geometrie...
The workshop was set up in order to stimulate the interaction between (finite and algebraic) geometr...
AbstractGeometries on finite partially ordered sets extend the concept of matroids on finite sets to...
We study Aat flag-transitive c.c*-geometries. We prove that, apart from one exception related to Sym...
AbstractWe give a complete combinatorial description of all possible positions of a geometric subspa...