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Higher order bad loci |
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| Authors: | Gian Mario Besana Sandra Di Rocco |
| Institution: | a School of C.T.I, DePaul University, 243 S. Wabash, Chicago, IL 60604, USA b K.T.H. Matematik, S-10044 Stockholm, Sweden c Dip. di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milano, Italy |
| Abstract: | Zero-schemes on smooth complex projective varieties, forcing all elements of ample and free linear systems to be reducible, are studied. Relationships among the minimal length of such zero-schemes, the positivity of the line bundle associated with the linear system, and the dimension of the variety are established. Bad linear spaces are also investigated. |
| Keywords: | 14C20 14E25 |
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