Embedding the planar structure of 4-dimensional linear spaces into projective spaces |
| |
| Authors: | Paola De Vito Eva Ferrara Dentice Pia Maria Lo Re Klaus Metsch |
| |
| Institution: | (1) Dip. Mat. e Appl. R. Caccioppoli Complesso M. S. Angelo, Edificio T, Universitá di Napoli Federico II, 1-80126 Napoli;(2) Dip. Mat. della II, Universitá di Napoli, C/O Curia Vescarile, Piazza Duomo, 1-81100 Caserta;(3) Mathematisches Institut, Justus-Liebig-UniversitÄt Gie\en, Arndtstra\e 2, D-35392 Giessen |
| |
| Abstract: | It is known that a linear spaces of dimensiond has at least as many hyperplanes as points with equality if it is a (possibly degenerate) projective space. If there are only a few more hyperplanes than points, then the linear space can still be embedded in a projective space of the same dimension. But even if the difference between the number of hyperplanes and points is too big to ensure an embedding, it seems likely that the linear space is closely related to a projective space. We shall demonstrate this in the cased=4. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
