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Títol:
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Schottky via the punctual Hilbert scheme
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Autor/a:
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Gulbrandsen, Martin G.; Lahoz Vilalta, Martí
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Altres autors:
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Universitat de Barcelona |
Abstract:
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We show that a smooth projective curve of genus $g$ can be reconstructed from its polarized Jacobian $(X, \Theta)$ as a certain locus in the Hilbert scheme $\mathrm{Hilb}^{d}(X)$ for $d=3$ and for $d=g+2$ defined by geometric conditions in terms of the polarization $\Theta$. The result is an application of the Gunning-Welters trisecant criterion and the Castelnuovo-Schottky theorem by Pareschi-Popa and Grushevsky, and its scheme theoretic extension by the authors. |
Matèries:
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-Corbes algebraiques -Cicles algebraics -Algebraic curves -Algebraic cycles |
Drets:
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(c) Tohoku Mathematical Journal, 2017
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Tipus de document:
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Article Article - Versió acceptada |
Publicat per:
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Tohoku University
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