Moduli of rank 4 symplectic vector bundles over a curve of genus 2 | Zendy

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Moduli of rank 4 symplectic vector bundles over a curve of genus 2

Author(s) -

Hitching George H.

Publication year - 2007

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/jdl011

Subject(s) - vector bundle , moduli space , rank (graph theory) , symplectic geometry , mathematics , genus , pure mathematics , dimension (graph theory) , variety (cybernetics) , projective variety , cover (algebra) , combinatorics , statistics , biology , mechanical engineering , botany , engineering

Let X be a complex projective curve which is smooth and irreducible of genus 2. The moduli space ℳ 2 of semistable symplectic vector bundles of rank 4 over X is a variety of dimension 10. After assembling some results on vector bundles of rank 2 and odd degree over X , we construct a generically finite cover of ℳ 2 by a family of 5‐dimensional projective spaces, and outline some applications.

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