Semi-terminal modifications of demi-normal pairs
Kento Fujita
TL;DR
This paper proves the existence of semi-canonical and semi-terminal modifications for demi-normal pairs, advancing the understanding of their singularities and birational geometry.
Contribution
It introduces the concepts of semi-canonical and semi-terminal modifications for demi-normal pairs and proves their existence.
Findings
Existence of semi-canonical modifications.
Existence of semi-terminal modifications.
Framework for studying singularities of demi-normal pairs.
Abstract
For a quasi-projective demi-normal pair (X, \Delta), we prove that there exists a semi-canonical modification and semi-terminal modification of (X, \Delta).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Finite Group Theory Research