$q$-birational morphisms and divisors
Donghyeon Kim
TL;DR
This paper introduces the concepts of q-birational morphisms and divisors, developing their theory and establishing vanishing and Zariski decomposition theorems in this context.
Contribution
It defines q-birational morphisms and divisors and extends classical theorems to this new framework, advancing the understanding of their properties.
Findings
Established Kodaira-type vanishing theorem for q-birational divisors.
Proved Zariski decomposition theorem for q-birational divisors.
Developed foundational theory for q-birational morphisms and divisors.
Abstract
In this paper, we define the notions -birational morphism and -birational divisor and develop the theory about them. We state and prove versions of Kodaira-type vanishing theorem and Zariski decomposition theorem for -birational divisors.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Mathematical Identities · Algebraic Geometry and Number Theory