ON THE VIRTUAL PROPERTIES FOR ABELIAN FIBERED CALABI-YAU THREEFOLDS WITH NULL ENTROPY

• 발행기관: 충청수학회
• 저자명: Jinhong Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 38, No. 4, 263~272쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2025.11.30

국문 초록

Let ψ : X → P1 be an abelian fibred Calabi-Yau three- fold which does not admit any automorphism of positive entropy. The aim of this paper is to prove that the group Aut(ψ) admits a finitely generated unipotent subgroup with a finite index in Aut(ψ) holds, i.e., Aut(ψ) is virtually finitely generated unipotent. Conse- quently, it can also be shown that Aut(ψ) is always virtually torsion free and residually finite.

목차

1. Introduction

2. Proof of Theorem 1.3

3. Some remarks towards Question 1.2

References

키워드

abelian fibered Calabi-Yau threefolds automorphisms relative automorphisms first dynamical degree positive entropy null entropy unipo- tent groups virtually residually finite