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DEFINING FIELDS OF SPECIAL SUPERSINGULAR K3 SURFACES

장준명
영남수학회 (Youngnam Mathematical Society)|2019.09|East Asian Mathematical Journal|제35권 제5호|pp. 589-595

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참고문헌

키워드

special supersingular K3 surfaceGalois descent.
주제분류수학

초록

Inthispaper,weprovethataspecialsupersingularK3surface of Artin invariant σ over a field of odd characteristic p has a model over a finite field of p2σ elements.

Abstract

Inthispaper,weprovethataspecialsupersingularK3surface of Artin invariant σ over a field of odd characteristic p has a model over a finite field of p2σ elements.

참고문헌 (6)

  1. Bragg, D, "Twistor spaces for supersingular K3 surfaces", Arxiv:1804.07282v5, ~
  2. 장준명, "Representations of the automorphism group of a supersingular K3 surface of Artin-invariant 1 over odd characteristic", 충청수학회지, 27(2), pp.287~295 (2014), 충청수학회[DOI]
  3. Jang, J, "The non-symplectic index of supersingular K3 surfaces", Taiwanese journal of mathematics
  4. "Algebraic Geometry, Lecture note"[URL]
  5. Ogus, A, "Supersingular K3 crystal", Asterisque, 64, pp.3~86 (1979)
  6. Ogus, A, "A crystalline Torelli theorem for supersingular K3 surfaces", Prog. Math, 36, pp.361~394 (1983)

관련 논문AI추천

Some Remarks on Non-Symplectic Automorphisms of K3 Surfaces over a Field of Odd Characteristic장준명영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호THE DIVISOR CLASS GROUP OF SURFACES OVER FINITE FIELDS최상기한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제3호Minimal del Pezzo surfaces of degree 2 over finite fieldsAndrey Trepalin대한수학회 · 대한수학회보2017 · 제54권 제5호Isomorphism classes of genus-3 pointed trigonal curves over finite fields of characteristic 2강병련, 선선미대한수학회 · 대한수학회보2009 · 제46권 제5호Which K3 surfaces with Picard number 19 cover an Enriques surface이광우대한수학회 · 대한수학회보2012 · 제49권 제1호ON THE DETERMINANT OF A DUAL PERIODIC SINGULAR FIBERCheng Gong, Jun Lu, Sheng-Li Tan대한수학회 · 대한수학회보2023 · 제60권 제5호

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