Unconditional construction of K3 surfaces over finite fields with given L-function in large characteristic-Reference-Cited by-同舟云学术

Unconditional construction of K3 surfaces over finite fields with given L-function in large characteristic

Published:2018-09-21 Issue:3-4 Volume:159 Page:281-300
ISSN:0025-2611
Container-title:manuscripta mathematica
language:en
Short-container-title:manuscripta math.

Author:

Ito Kazuhiro^ORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00229-018-1066-4.pdf

Reference24 articles.

1. Artin, M.: Supersingular K3 surfaces. Ann. Sci. École Norm. Sup. (4) 7, 543–567 (1974)

2. Barth, W.P., Hulek, K., Peters, C.A.M., Van de Ven, A.: Compact complex surfaces, Second edition. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 4. Springer, Berlin (2004)

3. Bayer-Fluckiger, E.: Embeddings of maximal tori in orthogonal groups. Ann. Inst. Fourier (Grenoble) 64(1), 113–125 (2014)

4. Charles, F.: The Tate conjecture for K3 surfaces over finite fields. Invent. Math. 194(1), 119–145 (2013)

5. Chen, M.: Complex multiplication, rationality and mirror symmetry for Abelian varieties and $$K3$$ surfaces. Ph.D thesis, Universität Bonn, (2007). http://hss.ulb.uni-bonn.de/2007/1029/1029.htm

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