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Computing on Riemann surfaces

open access: yes, 1996
P. Buser, M. Seppälä
semanticscholar   +1 more source
Some of the next articles are maybe not open access.

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A Hodge theoretic projective structure on compact Riemann surfaces

, 2021
Given any compact Riemann surface C, there is a canonical meromorphic 2–form η ˆ on C × C , with pole of order two on the diagonal Δ ⊂ C × C , constructed in [4] . This meromorphic 2–form η ˆ produces a canonical projective structure on C.
I. Biswas   +3 more
semanticscholar   +1 more source

A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus > 1

, 2001
Given a smooth functionK < 0 we prove a result by Berger, Kazhdan and others that in every conformal class there exists a metric which attains this function as its Gaussian curvature for a compact Riemann surface of genusg > 1.
Rukmini Dey
semanticscholar   +1 more source

The Geometry and Topology of Compact Complex Manifolds with RC-Positive Tangent Bundles

Notices of the International Congress of Chinese Mathematicians, 2021
. In this note, we give a brief exposition on the recent progress on the geometry and topology of compact complex manifolds with RC-positive tangent bundles, with particular focus on several open problems proposed by S.-T. Yau around 40 years ago.
Xiaokui Yang
semanticscholar   +1 more source

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