Title:  Topology of quadratic mappings and Hessians of smooth mappings 
 Authors:  A.A. Agrachev 
 Journal title:  Journal of Soviet Mathematics 
 Year:  1990 
 Issue:  3 
 Volume:  49 
 Pages:  990–1013 
 Citation:  
A. A. Agrachev, “The topology of quadratic mappings and Hessians of smooth mappings”, Journal of Soviet Mathematics, 1990, 49:3, 990–1013
 Abstract:  
In this paper we study sets of real solutions of systems of quadric equations and inequalities. The results are used for the local study of more general systems of smooth equations and inequalities.
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