A characterization of projective space via lengths of extremal rays
Osamu Fujino, Eric Jovinelly, Brian Lehmann, Eric Riedl
TL;DR
This paper introduces a novel way to identify complex projective space by analyzing the lengths of extremal rays within its geometric structure.
Contribution
It provides a new characterization of complex projective space based on the lengths of extremal rays, offering a fresh perspective in algebraic geometry.
Findings
Characterizes complex projective space uniquely by extremal ray lengths
Establishes a link between extremal rays and projective space properties
Advances understanding of the geometry of extremal rays
Abstract
We prove a new characterization of complex projective space using lengths of extremal rays.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Holomorphic and Operator Theory · Geometry and complex manifolds