A note on Tsuji's criterion for numerical triviality
Shigetaka Fukuda
TL;DR
This paper provides a simpler, more elementary proof of Tsuji's criterion, which determines when a Cartier divisor is numerically trivial, enhancing understanding of this important concept in algebraic geometry.
Contribution
It offers an alternative, elementary proof of Tsuji's criterion for numerical triviality of Cartier divisors, simplifying the existing proof.
Findings
Elementary proof of Tsuji's criterion
Clarification of conditions for numerical triviality
Potential for easier application in algebraic geometry
Abstract
In this study, we give an alternative and elementary proof to Tsuji's criterion for a Cartier divisor to be numerically trivial.
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Taxonomy
TopicsMathematics and Applications · Advanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory