Recovering plane curves from their bitangents
Authors:
Lucia Caporaso and Edoardo Sernesi
Journal:
J. Algebraic Geom. 12 (2003), 225244
DOI:
https://doi.org/10.1090/S1056391102003077
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 thetaproperty 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.

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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
Email:
caporaso@math.mit.edu, caporaso@matrm3.mat.uniroma3.it
Edoardo Sernesi
Affiliation:
Dipartimento di Matematica, Università Roma Tre, L.Go S.L. Murialdo 1, 00146 Roma, Italy
MR Author ID:
158910
Email:
sernesi@matrm3.mat.uniroma3.it
Received by editor(s):
September 15, 2000
Published electronically:
October 17, 2002