Haiduk V. Edge-local deformations of positive quadratic Tits forms.

The thesis is devoted to the study of local deformations of positive quadratic Tits forms, finding their P-defining polynomials and limiting numbers, and calculation the corresponding geometric invariants for quadratic forms of nonserial Dynkin diagrams. For nonserial Dynkin diagrams. it is calculated the P-defining polynomials and P-limiting number of edge-local deformations of quadratic forms Tits. It is calculated diameters, radii and centers of nonserial Dynkin diagrams equippedby the weighted function given by P -limiting numbers of pointwise-local deformations or maximum P-limiting numbers of edge-local deformations. It is proved that the weighted nonserial Dynkin has a single center concerning pointwise-local or local-edge deformations. It is shown that every P-defining polynomial of a non-serial partially ordered set implemented by a partially ordered set of width 2 with nodal point, and for such sets it is indicated the explicit form of P-definig polynomials for all pairs of comparable elements. It is written a minimal system of nonserial partially ordered sets, on which all the P-defining polynomials are implemented. It is written all polynomials that can be integral P-definig polynomials for nonderial partially ordered sets.