The Yamabe invariant of a class of symplectic manifolds
classification
🧮 math.DG
math.SG
keywords
invariantsymplecticyamabeclasscomputemanifoldsblowdownconnected
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We compute the Yamabe invariant for a class of symplectic 4-manifolds of general type obtained by taking the rational blowdown of Kahler surfaces. In particular, for any point on the half-Noether line we exhibit a simply connected minimal symplectic manifold for which we compute the Yamabe invariant.
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