Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Artin, M.: Supersingular K3 surfaces, Ann. scient. Éc. Norm. Sup. 7 (1974), 543–568 (cited as [A]).
Artin, M. and Mazur, B.: Formal groups arising from algebraic varieties, Ann. scient. Éc. Norm. Sup. 10 (1977), 87–132.
Artin, M. and Milne, J. S.: Duality in the flat cohomology of curves, Inventiones math. 35 (1976), 111–129.
Deuring, M.: Algebren, Springer-Verlag, Berlin-Heidelberg-New York, 1968.
Eichler, M.: Über die Idealklassenzahl hyperkomplexer Systeme, Math. Z. 43 (1938), 481–494.
Grothendieck, A.: Éléments de Géométrie Algébrique III, Publ. Math. 11, 1961.
Milne, J. S.: On a conjecture of Artin and Tate, Ann. of Math. 102 (1975), 517–533.
Mizukami, M.: Birational morphisms from certain quartic surfaces to Kummer surfaces, Master Thesis, Univ. of Tokyo, 1976.
Mumford, D.: Geometric Invariant Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1965.
Mumford, D.: Abelian Varieties, Bombay, Oxford Univ. Press, 1970.
Ogus, A.: Cristaux K3 supersinguliers, Journées de Géométrie Algébrique de Rennes, 3–7 Juillet, 1978.
Pjateckii-Šapiro, I. I. and Šafarevič, I. R.: A Torelli theorem for algebraic surfaces of type K3, Izv. Akad. Nauk SSSR 35 (1971), 530–572.
Rudakov, A. N. and Šafarevič, I. R.: Inseparable morphisms of algebraic surfaces, Izv. Akad. Nauk SSSR 40 (1976), 1269–1307.
Rudakov, A. N. and Šafarevič, I. R.: Supersingular K3 surfaces over a field of characteristic 2, Ibid. 42 (1978), 848–869.
Shioda, T.: On elliptic modular surfaces, J. Math. Soc. Japan 24 (1972), 20–59.
Shioda, T.: On rational points of the generic elliptic curve with level N structure over the field of modular functions of level N, J. Math. Soc. Japan 25 (1973), 144–157.
Shioda, T.: Algebraic cycles on certain K3 surfaces in characteristic p, in "Proc. Int. Conf. on Manifolds (Tokyo, 1973)", Univ. Tokyo Press, 1975.
Shioda, T. and Mitani, N.: Singular abelian surfaces and binary quadratic forms, in "Classification of algebraic varieties and compact complex manifolds", Springer Lecture Notes 412, 1974.
Shioda, T. and Inose, H.: On singular K3 surfaces, in "Complex analysis and algebraic geometry", Iwanami Shoten, Tokyo, and Cambridge Univ. Press, 1977.
Shioda, T.: Some remarks on abelian varieties, J. Fac. Sci. Univ. Tokyo, Sec. IA, 24 (1977), 11–21.
Horikawa, E.: On the periods of Enriques surfaces I, Math. Ann. 234 (1978), 73–88.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Shioda, T. (1979). Supersingular K3 surfaces. In: Lønsted, K. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066664
Download citation
DOI: https://doi.org/10.1007/BFb0066664
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09527-9
Online ISBN: 978-3-540-35049-1
eBook Packages: Springer Book Archive