On generically non-reduced components of Hilbert schemes of smooth curves
| Autor: | Ananyo Dan |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Surface (mathematics)
Pure mathematics Cubic surface Degree (graph theory) Component (thermodynamics) General Mathematics Hodge theory 010102 general mathematics 05 social sciences 01 natural sciences Hilbert scheme Néron–Severi group 0502 economics and business 0101 mathematics Element (category theory) 050203 business & management Mathematics |
| Zdroj: | Mathematische Nachrichten. 290:2800-2814 |
| ISSN: | 0025-584X |
| DOI: | 10.1002/mana.201600356 |
| Popis: | A classical example of Mumford gives a generically non-reduced component of the Hilbert scheme of smooth curves in P3 such that a general element of the component is contained in a smooth cubic surface in P3. In this article we use techniques from Hodge theory to give further examples of such (generically non-reduced) components of Hilbert schemes of smooth curves without any restriction on the degree of the surface containing it. As a byproduct we also obtain generically non-reduced components of certain Hodge loci. |
| Databáze: | OpenAIRE |
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