On the surjectivity of weighted Gaussian maps
نویسندگان
چکیده
منابع مشابه
Surjectivity of Gaussian Maps for Curves on Enriques Surfaces
Making suitable generalizations of known results we prove some general facts about Gaussian maps. The above are then used, in the second part of the article, to give a set of conditions that insure the surjectivity of Gaussian maps for curves on Enriques surfaces. To do this we also solve a problem of independent interest: a tetragonal curve of genus g ≥ 7 lying on an Enriques surface and gener...
متن کاملSurjectivity of Gaussian maps for curves on Enriques surfaces
Making suitable generalizations of known results we prove some general facts about Gaussian maps. These facts are then used, in the second part of the article, to give a set of conditions that insure the surjectivity of Gaussian maps for curves on Enriques surfaces. To do this we also solve a problem of independent interest: a tetragonal curve of genus g ≥ 7 lying on an Enriques surface and gen...
متن کاملWeighted Gaussian Maps
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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ژورنال
عنوان ژورنال: Rendiconti del Circolo Matematico di Palermo
سال: 2013
ISSN: 0009-725X,1973-4409
DOI: 10.1007/s12215-013-0135-5