The concepts of compact and projectively-compact spin-local spinor vertices are introduced. Vertices this type shown to be space-time spin-local, i.e., their restriction any finite subset fields is local. known cubic with the minimal number derivatives verified projectively-compact. This has important consequence that spin-locality respective quartic would imply spin-locality. More generally, i...

The present paper is the first in a series of papers, in which we shall construct modular functors and Topological Quantum Field Theories from the conformal field theory developed in [TUY]. The basic idea is that the covariant constant sections of the sheaf of vacua associated to a simple Lie algebra over Teichmüller space of an oriented pointed surface gives the vector space the modular functo...

A description of projectively fully transitive groups is presented in classes divisible groups, mixed split and separable vector torsion-free groups.

We study the projectively normal embeddings of small degree of smooth curves of genus g such that the ideal of the embedded curves is generated by quadrics.