CORDIS Project
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This project explores complex differential geometry, focusing on the existence and construction of canonical metrics for complex manifolds and holomorphic vector bundles. It employs techniques from partial differential equations, algebraic geometry, and computational methods to address fundamental questions in the fiel…
This proposal is in the area of complex differential geometry, a prominent field of mathematics.
It stands at the intersection of differential and algebraic geometry.
The basic objects are manifolds, spaces that locally look like flat space, and vector bundles over them - a collection of vector spaces parametrised by a manifold.
In complex differential geometry one seeks optimal notions of distance, so-called canonical metrics.
In higher dimensions, canonical metrics may or may not exist.
The ke…
UGOT - GOETEBORGS UNIVERSITET/UNIVERSITY OF GOTHENBURG
GOETEBORGS UNIVERSITET
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