Mori dreamness of blowups of weighted projective planes

Dynamics on blowups of the projective plane

Mirror Symmetry for Weighted Projective Planes and Their Noncommutative Deformations

Projective Planes of Type

During the last few years, there has been a mild surge of interest in projective planes of type I-4. This paper is intended to both provide a survey of some recent theorems, and to present some new results concerning these planes. In Section 2, we describe the algebraic setting for these planes. Special attention is given to the structure of the relevant homology groups. In Section 3, some rece...

Legitimate colorings of projective planes

For a projective plane Pn of order n, let X(Pn) denote the minimum number k, so that there is a coloring of the points of P~ in k colors such that no two distinct lines contain precisely the same number' of points of each color. Answering a question of A. Rosa, we show that for all sufficiently large n, 5 < X(Pn) < 8 for every projective plane P, of order n.

A Class of Projective Planes