On the transversality of restricted linear systems
In this paper we prove a generalization of the Transversality Lemma first proved by Hirschowitz [5] and later by Ciliberto and Miranda [1]. We plan to use this lemma to calculate the dimensions of the linear systems of plane curves with homogeneous vanishing conditions, using a degeneration techniqu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2001-11-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/231 |
| Summary: | In this paper we prove a generalization of the Transversality Lemma first proved by Hirschowitz [5] and later by Ciliberto and Miranda [1]. We plan to use this lemma to calculate the dimensions of the linear systems of plane curves with homogeneous vanishing conditions, using a degeneration technique developed by Ciliberto and Miranda. |
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| ISSN: | 0373-3505 2037-5298 |