TOWARDS A STRUCTURE-THEORY FOR PROJECTIVE VARIETIES OF DEGREE = CODIMENSION + 2

[摘要] The problem under consideration in this paper is that of finding a structure theory for varieties X of P(k)n (k is an algebraically closed field of arbitrary characteristic) with degree(X) = codimension(X) + 2. Takao Fujita has a satisfactory classification theory for projective varieties of DELTA-genus zero and one. In either case the singularities of X turn out to be of very special type. Our approach also sheds some light on the structure of these singularities.

[发布日期] 1991-05-31