Abstract:
This paper is devoted to describing properties of complete
intersections of two real projective quadrics. For brevity we call
such varieties biquadrics. One of the main sections is devoted
to real projective spaces on real biquadrics. In another main section
we study the topology of the real parts of biquadrics. The other
sections are auxiliary.
Keywords:quadric, biquadric, pencil of quadrics, index function, rigid isotopy classification,
topological type.