On the Deformations of Certain Moduli Spaces of Vector Bundles

Balaji, V.; Vishwanath, P. A.

doi:10.2307/2374860

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Cited by 3 publications

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“…Curves of higher genus do admit deformations and a celebrated theorem of Narasimhan and Ramanan [30,3] shows that all classical deformations of the moduli of stable bundles on a smooth curve come from deformations of the curve itself (case g > 1, (r, d) = 1).…”

Section: Statement Of Resultsmentioning

confidence: 99%

Classical deformations of noncompact surfaces and their moduli of instantons

Barmeier

Gasparim

2019

Journal of Pure and Applied Algebra

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We describe semiuniversal deformation spaces for the noncompact surfaces Z k := Tot(O P 1 (−k)) and prove that any nontrivial deformation Z k (τ ) of Z k is affine.It is known that the moduli spaces of instantons of charge j on Z k are quasi-projective varieties of dimension 2j − k − 2. In contrast, our results imply that the moduli spaces of instantons on any nontrivial deformation Z k (τ ) are empty.

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Section: Statement Of Resultsmentioning

confidence: 99%