Browsing by Subject F-split and globally F-regular conditions

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  • Authors: Liam, Stigant;  Advisor: -;  Co-Author: - (2023)

    This paper proposes the use of F-split and globally F-regular conditions in the pursuit of BAB type results in positive characteristic. The main technical work comes in the form of a detailed study of threefold Mori fibre spaces over positive dimensional bases. As a consequence we prove the main theorem, which reduces birational boundedness for a large class of varieties to the study of prime Fano varieties.