Some boundedness results for Fano-like Moishezon manifolds
L. Bonavero, S. Takayama
TL;DR
This paper establishes finiteness and boundedness results for Fano-like Moishezon manifolds, focusing on their blow-downs and geometric properties using Hilbert schemes and Mori theory.
Contribution
It introduces new boundedness results for non-projective Fano-like manifolds and proves finiteness of smooth blow-downs on Fano manifolds.
Findings
Finiteness of smooth blow-downs on Fano manifolds
Boundedness of geometry for non-projective Fano-like manifolds
Use of properness of Hilbert schemes and Mori theory in proofs
Abstract
We prove finiteness of the number of smooth blow-downs on Fano manifolds and boundedness results for the geometry of non projective Fano-like manifolds. Our proofs use properness of Hilbert schemes and Mori theory.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology