Boundedness theorem for Fano log-threefolds
A. Borisov
TL;DR
This paper proves that the family of Fano threefolds with log-terminal singularities and bounded index is bounded, establishing a key property for classification and moduli theory in algebraic geometry.
Contribution
It establishes a boundedness theorem for Fano threefolds with log-terminal singularities and bounded index, advancing understanding of their classification.
Findings
Proves boundedness of Fano threefolds with specified singularities and index
Provides a foundational result for moduli space construction
Enhances classification theory for algebraic threefolds
Abstract
The main purpose of this article is to prove that the family of all Fano threefolds with log-terminal singularities with bounded index is bounded.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology