Weight sequences versus gap sequences at singular points of Gorenstein curves |
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Authors: | Letterio Gatto |
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Affiliation: | (1) Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy |
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Abstract: | After some foundational material concerning the so-calledWronskian k-forms, the fundamental notion ofweight sequence at a pointP of a Gorenstein curve (singular or not) is introduced. Thanks to this definition it is possible to extend the notion ofWeierstraß gaps sequence (WGS) at a singular point of a Gorenstein curve. The latter reduces to the classical one for points of smooth curves. In Sections 6 and 7, some geometrical interpretations and discussions of previous results of Widland and Lax are given, showing the naturality of the definition of WGS at a singular point.Work partially supported by GNSAGA-CNR and MURST. |
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Keywords: | 14H20 14H55 14H99 |
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