Fragmented deformations of primitive multiple curves
| Autor: | Drezet, J. -M. |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Central European Journal of Mathematics 11, no 12 (2013), 2106-2137 |
| Druh dokumentu: | Working Paper |
| Popis: | A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that the associated reduced curve Y_red is smooth. The subject of this paper is the study of deformations of Y in curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations in n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization of primitive multiple curves having a fragmented deformation. Comment: 40 pages, 1 figure |
| Databáze: | arXiv |
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