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.
机构:
N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
S China Univ Technol, Sch Sci, Guangzhou 510640, Guangdong, Peoples R ChinaN Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
Jing, Naihuan
Zhang, Jian
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S China Univ Technol, Sch Sci, Guangzhou 510640, Guangdong, Peoples R ChinaN Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
机构:
Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, ItalyUniv Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
Aguglia, A
Korchmáros, G
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机构:Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
Korchmáros, G
Torres, F
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机构:Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy