Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/146041
 Title: Schottky via the punctual Hilbert scheme Author: Gulbrandsen, Martin G.Lahoz Vilalta, Martí Keywords: Corbes algebraiquesCicles algebraicsAlgebraic curvesAlgebraic cycles Issue Date: Dec-2017 Publisher: Tohoku University Abstract: 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. Note: https://doi.org/10.2748/tmj/1512183632 It is part of: Tohoku Mathematical Journal, 2017, vol. 69, num. 4, p. 611-619 URI: http://hdl.handle.net/2445/146041 Related resource: https://doi.org/10.2748/tmj/1512183632 ISSN: 0040-8735 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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