A Fourier-Mukai approach to spectral data for instantons

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dc.creatorJardim, Marcos
dc.creatorMaciocia, Antony
dc.date2000-06-07
dc.date2002-12-16
dc.date.accessioned2026-07-07T04:35:46Z
dc.date.available2026-07-07T04:35:46Z
dc.descriptionWe study U(r) instantons on elliptic surfaces with a section and show that they are in one-one correspondence with spectral data consisting of a curve in the dual elliptic surface and a line bundle on that curve. We use relative Fourier-Mukai transforms to analyse their properties and, in the case of the K3 and abelian surfaces, we show that the moduli space of instantons has a natural Lagrangian fibration with respect to the canonical complex symplectic structure.
dc.description17 pages. Final version to appear in Crelle
dc.identifierhttps://arxiv.org/abs/math/0006054
dc.identifierhttp://arxiv.org/abs/math/0006054
dc.identifierJ. Reine Agnew. Math. 563 (2003) 221-235.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59369
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.titleA Fourier-Mukai approach to spectral data for instantons
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