Weighted Gaussian Maps
نویسندگان
چکیده
Motivated by previous work on deformation theory of higher order theta-characteristics, we introduce a weighted Gaussian map γa,b(X,L), where a, b are positive integers, X is a smooth projective variety, L is a line bundle on X and γ1,1(X,L) is the ordinary Gaussian map for (X,L). We establish a sharp lower bound on its rank and we investigate the extremal cases for curves. MSC 2000: 14H99, 14F10
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