A 4₃ configuration of lines and conics in ℙ⁵

• Autorzy: Tomasz Szemberg
• Języki publikacji: EN

Abstrakty

EN

Studying the connection between the title configuration and Kummer surfaces we write explicit quadratic equations for the latter. The main results are presented in Theorems 8 and 16.

Słowa kluczowe

EN

configuration; Kummer surface; abelian surface

Kategorie tematyczne

• 51E20: Combinatorial structures in finite projective spaces
• 14J28: K 3 surfaces and Enriques surfaces
• 14J70: Hypersurfaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1994-1995
• Tom: 60
• Numer: 2
• Strony: 145-158

Daty

wydano

1994

otrzymano

1993-07-05

Twórcy

autor

Tomasz Szemberg

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

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• [B1] W. Barth, manuscript, unpublished.
• [B2] W. Barth, Abelian surfaces with (1,2)-polarization, in: Adv. Stud. Pure Math. 10, North-Holland, 1987, 41-84.
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• [Ha] R. Hartshorne, Algebraic Geometry, Graduate Texts in Math. 52, Springer, New York, 1977.
• [Hu] R. W. H. T. Hudson, Kummer's Quartic Surface, Cambridge University Press, Cambridge, 1905; reprint, 1990.
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• [S] B. Saint-Donat, Projective models of K3 surfaces, Amer. J. Math. 96 (1974), 602-639.