Let be a smooth curve in given by an equation of degree . In this paper we parametrise all linear Pfaffian representations of by an open subset in the moduli space . We construct an explicit correspondence between Pfaffian representations of and rank 2 vector bundles on with canonical determinant and no sections.
@article{ASNSP_2011_5_10_2_363_0, author = {Buckley, Anita and Ko\v{s}ir, Toma\v{z}}, title = {Plane curves as {Pfaffians}}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {363--388}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 10}, number = {2}, year = {2011}, mrnumber = {2856152}, zbl = {1237.14039}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2011_5_10_2_363_0/} }
TY - JOUR AU - Buckley, Anita AU - Košir, Tomaž TI - Plane curves as Pfaffians JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2011 SP - 363 EP - 388 VL - 10 IS - 2 PB - Scuola Normale Superiore, Pisa UR - http://www.numdam.org/item/ASNSP_2011_5_10_2_363_0/ LA - en ID - ASNSP_2011_5_10_2_363_0 ER -
%0 Journal Article %A Buckley, Anita %A Košir, Tomaž %T Plane curves as Pfaffians %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2011 %P 363-388 %V 10 %N 2 %I Scuola Normale Superiore, Pisa %U http://www.numdam.org/item/ASNSP_2011_5_10_2_363_0/ %G en %F ASNSP_2011_5_10_2_363_0
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://www.numdam.org/item/ASNSP_2011_5_10_2_363_0/
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