Affine techniques on extremal metrics on toric surfaces
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DOI: 10.1016/j.aim.2018.10.011
Abstract: This paper consists of real and complex affine techniques for studying the Abreu equation on toric surfaces. In particular, an interior estimate for Ricci tensor is given. read more here.
Keywords: affine techniques; toric surfaces; techniques extremal; metrics toric ... See more keywords
Enumeration of Unicuspidal Curves of Any Degree and Genus on Toric Surfaces
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DOI: 10.1093/imrn/rnab195
Abstract: We enumerate complex curves on toric surfaces of any given degree and genus, having a single cusp and nodes as their singularities, and matching appropriately many point constraints. The solution is obtained via tropical enumerative… read more here.
Keywords: toric surfaces; unicuspidal curves; curves degree; enumeration unicuspidal ... See more keywords