Weakly defective varieties |
| |
Authors: | L Chiantini C Ciliberto |
| |
Institution: | Department of Mathematics, University of Siena, Via del Capitano 15, 53100 Siena, Italy ; Department of Mathematics, University of Rome II, Viale della Ricerca Scientifica, 16132 Rome, Italy |
| |
Abstract: | A projective variety is ` -weakly defective' when its intersection with a general -tangent hyperplane has no isolated singularities at the points of tangency. If is -defective, i.e. if the -secant variety of has dimension smaller than expected, then is also -weakly defective. The converse does not hold in general. A classification of weakly defective varieties seems to be a basic step in the study of defective varieties of higher dimension. We start this classification here, describing all weakly defective irreducible surfaces. Our method also provides a new proof of the classical Terracini's classification of -defective surfaces. |
| |
Keywords: | |
|
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 |
|