3 edition of **The twenty-seven lines upon the cubic surface.** found in the catalog.

The twenty-seven lines upon the cubic surface.

Henderson, Archibald

- 335 Want to read
- 5 Currently reading

Published
**1960**
by Hafner in New York
.

Written in English

**Edition Notes**

Series | Cambridge tracts in mathematics and mathematical physics -- no. 13 |

The Physical Object | |
---|---|

Pagination | 100p. |

Number of Pages | 100 |

ID Numbers | |

Open Library | OL20176186M |

The twenty-seven lines upon the cubic surface. Henderson, Archibald. Published by Hafner Pub. Co., New York () Used. Books for Libraries Press, Freeport, New York, Hard Cover. Condition: Good. No Jacket. H4 - Book has label on the lower spine, library stamping on the top and bottom page edges, front loose endpaper, title page, and. [3] Schläfli, L. An attempt to determine the twenty-seven lines upon a surface of the third order, and to divide such surfaces into species in reference to the reality of the lines upon the surface, Quart. J. pure appl. math., vol. 2 (), – [4] Hunt, B. The Geometry of Some Special Arithmetic Quotients.

Around the History of the Twenty-seven Lines upon Cubic Surfaces: Uses and Non-Uses of models of the Lines upon the Surface”. In: The Quarterly Journal of Mathematics 2, 55–65, – Sylvester, James Joseph (). “Note sur les 27 droites d’une surface du 3e degré”. In. The Twenty-Seven Lines Upon the Cubic Surface by Archibald Henderson avg rating — 0 ratings — published — 3 editions.

His Twenty-seven Lines Upon the Cubic Surface (), completed during a year of study at Cambridge, the Sorbonne, and the University of Berlin, was the first American book included in the prestigious series of Cambridge Tracts in Mathematics and Mathematical Physics. It was also the first volume on the subject and for over thirty years the. $\begingroup$ Hi Daniel, I'm not sure that there is a proof in Hartshorne of the fact that every smooth cubic surface has 27 lines, but he has a reference (Remark ) to proofs, by Manin (the cubic forms reference Pasha Zusmanovich gives below) and Nagata. He gives an informal dimension count in Remark which shows that most cubic surfaces are of this form; this .

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Book Description Originally published in as number thirteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book presents a general survey of the problem of the 27 lines upon the cubic surface. Cited by: Try the new Google Books. Check out the new look and enjoy easier access to your favorite features.

Try it now. No thanks. Try the new Google Books. Get Textbooks on Google Play. Rent and save from the world's largest eBookstore. The Twenty Seven Lines Upon the Cubic Surface. Twenty-seven lines upon the cubic surface. Cambridge, University Press, (OCoLC) Document Type: Book: All Authors / Contributors: Archibald Henderson.

Twenty-seven lines upon the cubic surface. Chicago, (OCoLC) Material Type: Biography, Thesis/dissertation: Document Type: Book: All Authors /. About this Book Catalog Record Details. The twenty-seven lines upon the cubic surface / by Archibald Henderson, Archibald, View full catalog record.

Ludwig Schläfli An attempt to determine the twenty-seven lines upon a surface of the third order, and to divide such surfaces into species in reference to the reality of the lines upon the surface, Quarterly J. Math. 2 55–56; Gesammelte Mathematische Abhandlungen, 2 – (Birkhäuser, Basel, ).

The twenty-seven lines upon the cubic surface by Archibald Henderson. Henderson, Archibald, Chicago: , The Twenty-Seven Lines Upon the Cubic Surface, () by A Henderson Add To MetaCart. Tools. Sorted by: Results 1 - 10 of Next 10 → The Cell Structures of Certain Lattices by J.

Henderson, Archibald () [], The twenty-seven lines upon the cubic surface, Cambridge Tracts in Mathematics, Cambridge University Press, ISBNJFM Holzer, Stephan; Labs, Oliver (), "Illustrating the classification of real cubic surfaces" (PDF), Algebraic geometry and geometric modeling, Springer, pp.

–, MR adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. of the twenty-seven lines upon the cubic surface.” It is amazing that a similar statement can be repeated almost a hundred years later.

Searching in MathSciNet for “cubic surfaces” and their close cousins “Del Pezzo surfaces” reveals 69 and 80 papers published in recent 10 years. We first take our familar cubic surface F 3 ≡ F 3, and the twenty-seven lines on it [9]. If we disregard any one line and the ten lines which are incident with it, then the sixteen remaining.

The set of 27 lines on a cubic surface It is a well-known fact that on a generic cubic surface, K 3, there is a configuration of 27 lines [1]. Although this configuration is geometrically perfectly symmetric as it stands, it exhibits a remarkable non-trivial structure when intersection/incidence relations between the individual lines are.

Journals & Books; Help The Twenty-Seven Lines Upon the Cubic Surface, Hafner, New York () Google Scholar. Krasauskas, R.

KrasauskasUniversal parameterizations of some rational surfaces. SchläfliAn attempt to determine the twenty-seven lines upon a surface of the third order. A brief history In Archibald Henderson wrote in his book [Hen] “While it is doubteless true that the classification of cubic surfaces is complete, the number of papers dealing with these surfaces which continue to appear from year to year furnish abundant proof of the fact that they still possess much the same fascination as they did in the days of their discovery of the twenty.

Henderson, Archibald, The twenty-seven lines upon the cubic surface,(Cambridge, University Press, )(page images at HathiTrust; US access only).

Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link) http. A MEMOIR ON THE TWENTY-SEVEN LINES UPON A CUBIC SURFACE. A MEMOIR ON THE TWENTY-SEVEN LINES UPON.

A CUBIC SURFACE. ARCHIBALD HENDERSON, PH.D. HISTORICAL SUMMARY. Although it is probably true that the classification of cubic. surfaces is practically complete, the number of articles yearly.

appearing upon these surfaces furnish. THE TWENTY-SEVEN LINES UPON THE CUBIC SURFACE The contributions which Dr. Henderson has, from time to time, made to the study of the cubic surface, were some time ago embodied in this able work.1 The following review, though be lated, purports to give a brief sketch of Dr.

Henderson's work. The Twenty-Seven Lines upon the Cubic Surface. Hafner Publishing Co. His Twenty-seven Lines Upon the Cubic Surface (), completed during a year of study at Cambridge, the Sorbonne, and the University of Berlin, was the first American book included in the prestigious series of Cambridge Tracts in Mathematics and Mathematical Physics.Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link).The number of questions is meant to match the number of lines on a cubic surface.

We end with a list of problems that are open. An attempt to determine the twenty-seven lines upon a surface .