Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 47, No. 1, pp. 63-66 (2006)
|
|
Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 63-66 (2006) |
|
|
Weighted Gaussian mapsEdoardo Ballico and Claudio FontanariUniversità degli Studi di Trento, Dipartimento di Matematica, Via Sommarive 14, 38050 POVO (Trento), Italy, e-mail: ballico@science.unitn.it; e-mail: fontanar@science.unitn.itAbstract: Motivated by previous work on deformation theory of higher order theta-characteristics, 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.
© 2006 Heldermann Verlag
|