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
DOI: https://doi.org/10.1090/S1056-3911-02-00307-7
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.


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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

DOI: https://doi.org/10.1090/S1056-3911-02-00307-7
Received by editor(s): September 15, 2000
Published electronically: October 17, 2002

American Mathematical Society