Mesh geometries of root orbits of integral quadratic forms (Q710554)

The author studies integral quadratic forms and their integral level sets by means of mesh translation quivers. Mesh geometries of roots of positive definite quadratic forms are studied in connection with root mesh quivers of forms associated to Dynkin diagrams \(A_n\), \(D_n\), \(E_6\), \(E_7\), \(E_8\) and the Auslander-Reiten quivers of the derived category of path algebras of the given Dynkin quivers. He also introduces the concept of morsification of a quadratic form, and the existence of mesh geometries in the integral level sets is discussed.