The Characterization of Cones as Pointsets with 3 Intersection Numbers

A characterization of quadrics by intersection numbers

This work is inspired by a paper of Hertel and Pott on maximum non-linear functions [8]. Geometrically, these functions correspond with quasi-quadrics; objects introduced in [5]. Hertel and Pott obtain a characterization of some binary quasi-quadrics in a ne spaces by their intersection numbers with hyperplanes and spaces of codimension 2. We obtain a similar characterization for quadrics in pr...

Optimal Cones Intersection Technique

This paper presents an extension to the classical Cones Intersection Technique, which was, and is, exhaustively used to estimate the spin axis direction of spin stabilized spacecraft. The resulting Optimal Cones Intersection Technique is derived from a demonstrated co-planarity condition and does not present ambiguities or singularities. The proposed method allows an optimal estimation of any o...

Intersection numbers with Witten’s top Chern class

The first conjecture involves moduli spaces of stable curves and certain 2-cohomology classes on them, called –classes. The intersection numbers of powers of the – classes can be arranged into a generating series that is claimed to be a solution of the Korteweg–de Vries (or KdV) hierarchy of partial differential equations. This conjecture was first proved by M Kontsevich in [12]. At present the...

t-Designs with few intersection numbers

Pott, A. and M. Shriklande, t-Designs with few intersection numbers, Discrete Mathematics 90 (1991) 215-217. We give a method to obtain new i-designs from t-designs with j distinct intersection numbers if i + j 1 does not exceed t.

Virtual Intersection Numbers