Symmetric Gobos in a finite projective plane

Finite Projective Plane Geometries and Difference Sets

Pseudo Ricci symmetric real hypersurfaces of a complex projective space

Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.

The Search for a Finite Projective Plane of Order 10

When I was a graduate student looking for a thesis topic, Herbert Ryser advised me not to work on the projective plane of order 10. Even though he was extremely interested in this subject, he believed that it was too difficult and that I might get nowhere with it. I took his advice and chose another problem. Somehow, this problem has a beauty that fascinates me as well as many other mathematici...

Schemes of a Finite Projective Plane and Their Extensions

There are several schemes (coherent configurations) associated with a finite projective plane P. In the paper, a new scheme is constructed, which, in a sense, contains all of them. It turns out that this scheme coincides with the 2extension of the nonhomogeneous scheme of P and is uniquely determined up to similarity by the order q of P. Moreover, for q ≥ 3, the rank of the scheme does not depe...

A non-desarguesian projective plane

Hrushovski’s construction of “new” strongly minimal structures and more generally “new” stable structures proved very effective in providing a number of examples to classification problems in stability theory. For example, J.Baldwin used this method to construct a non-desarguesian projective plane of Morley rank 2 (see e.g. [3]). But there is still a classification problem of similar type which...