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

• Autores: George H. Hitching
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 75, Nº 1, 2007, págs. 255-272
• Idioma: inglés
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• Resumen

  • Let X be a complex projective curve which is smooth and irreducible of genus 2. The moduli space 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 2 by a family of 5-dimensional projective spaces, and outline some applications