Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 6366 (2006) 

Weighted Gaussian mapsEdoardo Ballico and Claudio FontanariUniversità degli Studi di Trento, Dipartimento di Matematica, Via Sommarive 14, 38050 POVO (Trento), Italy, email: ballico@science.unitn.it; email: fontanar@science.unitn.itAbstract: Motivated by previous work on deformation theory of higher order thetacharacteristics, we introduce a weighted Gaussian map $\gamma_{a,b}(X,L)$, where $a$, $b$ are positive integers, $X$ is a smooth projective variety, $L$ is a line bundle on $X$ and $\gamma_{1,1}(X,L)$ 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. Keywords: Gaussian map, Wahl map Classification (MSC2000): 14H99, 14F10 Full text of the article:
Electronic version published on: 9 May 2006. This page was last modified: 4 Nov 2009.
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