Geodesic
Plane curves as Pfaffians
Buckley, Anita1 ; Košir, Tomaž1
1 Department of Mathematics Faculty of Mathematics and Physics University of Ljubljana Jadranska 19 1000 Ljubljana, Slovenia
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 2, pp. 363-388

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Let C be a smooth curve in ℙ 2 given by an equation F=0 of degree d. In this paper we parametrise all linear Pfaffian representations of F by an open subset in the moduli space M C (2,K C ). We construct an explicit correspondence between Pfaffian representations of C and rank 2 vector bundles on C with canonical determinant and no sections.

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Classification : 14H60, 14D20, 15A15, 15A54

Buckley, Anita 1 ; Košir, Tomaž 1

1 Department of Mathematics Faculty of Mathematics and Physics University of Ljubljana Jadranska 19 1000 Ljubljana, Slovenia 
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     title = {Plane curves as {Pfaffians}},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {363--388},
     publisher = {Scuola Normale Superiore, Pisa},
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     number = {2},
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Buckley, Anita; Košir, Tomaž. Plane curves as Pfaffians. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 2, pp. 363-388. http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_2_363_0/