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Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Recovering plane curves from their bitangents

Authors: Lucia Caporaso and Edoardo Sernesi
Journal: J. Algebraic Geom. 12 (2003), 225-244
Published electronically: October 17, 2002
MathSciNet review: 1949642
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Abstract | References | Additional Information

Abstract: We prove that a general complex projective plane quartic curve is uniquely determined by its 28 bitangent lines. A similar property (called theta-property in the paper) is proved for a general singular quartic having $\delta =1,\dots ,4$ double points with respect to its set of generalized bitangents (suitably defined). The proofs are by degeneration.

References [Enhancements On Off] (What's this?)

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Additional Information

Lucia Caporaso
Affiliation: Università degli Studi del Sannio, Benevento, Italy; Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Address at time of publication: Dipartimento di Matematica, Università Roma Tre, L.Go S.L. Murialdo 1, 00146 Roma, Italy
MR Author ID: 345125

Edoardo Sernesi
Affiliation: Dipartimento di Matematica, Università Roma Tre, L.Go S.L. Murialdo 1, 00146 Roma, Italy
MR Author ID: 158910

Received by editor(s): September 15, 2000
Published electronically: October 17, 2002