Showing papers on "Toric variety published in 1976"

Geometry of algebraic varieties

Abstract: The proposed survey is the third in a series of surveys on algebraic geometry [31, 88]. It is made up mainly from the material in Referativnyi Zhurnal \"Matematika\" during 1965-1973 and is devoted to the geometric aspects of the theory of algebraic varieties. After the fundamental papers of Grothendieck, effecting the harmonic connection of the purely geometric ideas of Italian algebraic geometry with the methods of commutative and homologica! algebra, it is difficult to draw a clear boundary between the algebraic and the geometric aspects of algebraic geometry. Our selection, to be sure, is purely conventional: On the one hand we do not include in the survey that material which could serve as a natural continuation of the previous surveys, and on the other hand, space limitations compel us to exclude such important sections of algebraic geometry as the theory of group schemes, algebraic trans formation groups, Abelian varieties, the analytic theory of complex algebraic varieties (we touch upon it only incidently), the theory of automorphic functions, singularities of algebraic varieties, topology of real algebraic varieties.