A 4₃ configuration of lines and conics in ℙ⁵

Tomasz Szemberg

Annales Polonici Mathematici (1994)

  • Volume: 60, Issue: 2, page 145-158
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Tomasz Szemberg. "A 4₃ configuration of lines and conics in ℙ⁵." Annales Polonici Mathematici 60.2 (1994): 145-158. <http://eudml.org/doc/262372>.

@article{TomaszSzemberg1994,
abstract = {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.},
author = {Tomasz Szemberg},
journal = {Annales Polonici Mathematici},
keywords = {configuration; Kummer surface; abelian surface; Kummer surfaces},
language = {eng},
number = {2},
pages = {145-158},
title = {A 4₃ configuration of lines and conics in ℙ⁵},
url = {http://eudml.org/doc/262372},
volume = {60},
year = {1994},
}

TY - JOUR
AU - Tomasz Szemberg
TI - A 4₃ configuration of lines and conics in ℙ⁵
JO - Annales Polonici Mathematici
PY - 1994
VL - 60
IS - 2
SP - 145
EP - 158
AB - 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.
LA - eng
KW - configuration; Kummer surface; abelian surface; Kummer surfaces
UR - http://eudml.org/doc/262372
ER -

References

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  1. [A-M] M. Adler and P. van Moerbeke, Geodesic flow on SO(4) and intersection of quadrics, Proc. Nat. Acad. Sci. U.S.A. 81 (1984), 4613-4616. Zbl0545.58027
  2. [B1] W. Barth, manuscript, unpublished. 
  3. [B2] W. Barth, Abelian surfaces with (1,2)-polarization, in: Adv. Stud. Pure Math. 10, North-Holland, 1987, 41-84. 
  4. [Ba] Th. Bauer, Projective images of Kummer surfaces, Math. Ann. 299 (1994), 155-170. Zbl0793.14029
  5. [F] O. Forster, Lectures on Riemann Surfaces, Graduate Texts in Math. 81, Springer, New York, 1981. 
  6. [Ha] R. Hartshorne, Algebraic Geometry, Graduate Texts in Math. 52, Springer, New York, 1977. 
  7. [Hu] R. W. H. T. Hudson, Kummer's Quartic Surface, Cambridge University Press, Cambridge, 1905; reprint, 1990. Zbl36.0709.03
  8. [I] J. I. Igusa, Arithmetic variety of moduli for genus two, Ann. of Math. 72 (1960), 612-649. Zbl0122.39002
  9. [L-B] H. Lange and Ch. Birkenhake, Complex Abelian Varieties, Grundlehren Math. Wiss. 302, Springer, New York, 1992. 
  10. [M] D. Mumford, On the equations defining abelian varieties. I, Invent. Math. 1 (1966), 287-354. Zbl0219.14024
  11. [S] B. Saint-Donat, Projective models of K3 surfaces, Amer. J. Math. 96 (1974), 602-639. Zbl0301.14011

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