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Jacobian surfaces of quadrics in four dimensions

Published online by Cambridge University Press:  24 October 2008

L. Roth
L. Roth
Affiliation:
Clare College
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Extract

The surfaces considered in this note are Jacobians of four quadric forms (“quadrics”) in [4], where one or more of the quadrics are space-pairs. It is believed that, with one exception, they have not been noticed previously; and so little is known of non-rational surfaces in higher space that it seems worth while putting them on record.

Type
Articles
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 25 , Issue 3 , July 1929 , pp. 268 - 271
Copyright
Copyright © Cambridge Philosophical Society 1929

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References

* White, , Proc. Camb. Phil. Soc. 21 (1923), 220;Google ScholarSee also Veronese, , Math. Annalen, 19 (1882), 161–234 (232)CrossRefGoogle Scholar, Bordiga, , Mem. Acc. Lincei (4) 4 (1887), 182.Google Scholar

† Veronese, , Math. Annalen, 19 (1882), 218.Google Scholar

‡ Severi, , Memorie di Torino, 52 (1903), 94–98.Google Scholar

* Segre, , Memorie di Torino, 39 (1889), 12.Google Scholar

* Severi, , Rend. Palermo, 15 (1901), 50.CrossRefGoogle Scholar

† White, , loc. cit.Google Scholar

* Milne, , Journal Lond. Math. Soc. 2 (1927), 79.CrossRefGoogle Scholar