6533b851fe1ef96bd12aa168

RESEARCH PRODUCT

A note on projective coordinate systems of modular lattices

Stefan E. Schmidt

subject

Discrete mathematicsPure mathematicsClassical modular curveBlocking setDuality (projective geometry)Projective spaceGeometry and TopologyEllipsoidal coordinatesCoordinate spacePencil (mathematics)Twisted cubicMathematics

description

This note clarifies the combinatorial nature of projective coordinate systems of modular upper continuous lattices. It generalizes the classical relationship between 3-dimensional Desarguesian configurations and coordinate systems of projective 3-spaces.

https://doi.org/10.1007/bf01231007