REPRESENTATIONS OF THE AUTOMORPHISM GROUP OF A SUPERSINGULAR K3 SURFACE OF ARTIN-INVARIANT 1 OVER ODD CHARACTERISTIC

• 발행기관: 충청수학회
• 저자명: Junmyeong Jang
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 2, 287~295쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.05.30

영문 초록

In this paper, we prove that the image of the represen- tation of the automorphism group of a supersingular K3 surface of Artin-invariant 1 over odd characteristic p on the global two forms is a ¯nite cyclic group of order p + 1. Using this result, we deduce, for such a K3 surface, there exists an automorphism which cannot be lifted over a ¯eld of characteristic 0.

목차

1. Introduction

2. Preliminary: supersingular K3 surfaces

3. Proof