On the edge-local deformations of quadratic Tits forms of the smallest non-serial posets

Abstract

We study edge-local deformations of quadratic forms over the field of real numbers being
introduced by V.M. Bondarenko. The main invariants of such deformations are $P$-limiting numbers
and $P$-defining polynomials \linebreak
which define them. It is described the $P$-defining polynomials of (positive) quadratic Tits forms of non-serial
posets of the smallest possible order that correspond to their neighboring elements.