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Recovering plane curves from their bitangents
Author(s):
Lucia
Caporaso;
Edoardo
Sernesi
Journal:
J. Algebraic Geom.
12
(2003),
225-244.
Posted:
October 17, 2002
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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  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
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
Email:
sernesi@matrm3.mat.uniroma3.it
PII:
S 1056-3911(02)00307-7
Received by editor(s):
September 15, 2000
Posted:
October 17, 2002
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