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Arend Bayer
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For algebraic geometry, I would think that Journal of Algebraic Geometry is the top specialized journal. However, there are many excellent journals that are nominally in a different (neighboring) field, which accept algebraic geometry submissions (and have algebraic geometers, or people interested in algebraic geometry, in the editorial board). Examples include:

  • JDG
  • Geom. & Topol.
  • Algebra & Number Theory
  • J Topology.

(Of course, there are also many other non-specialized journals that are suitable for an article that is almost Inventiones- or Duke-level.)