| dc.creator | Rojas, Jacqueline | |
| dc.creator | Mendoza, Ramon | |
| dc.creator | da Silva, Eben | |
| dc.date | 2010-03-01 | |
| dc.date.accessioned | 2019-04-17T15:45:36Z | |
| dc.date.available | 2019-04-17T15:45:36Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1437 | |
| dc.identifier.uri | http://revistaschilenas.uchile.cl/handle/2250/45139 | |
| dc.description | We give an explicit description of the Hilbert scheme that parametrizes the closed 0-dimensional subschemes of degree 4 in the projective plane that allows us to afford a natural embedding in a product of Grassmann varieties. We also use this description to explain how to apply Bott’s localization formula (introduced in 1967 in Bott’s work [2]) to give an answer for an enumerative question as used by the first time by Ellingsrud and Strømme in [8] to compute the number of twisted cubics on a general Calabi-Yau threefold which is a complete intersection in some projective space and used later by Kontsevich in [16] to count rational plane curves of degree d passing through 3d − 1 points in general position in the plane. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1437/1293 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 12 Núm. 1 (2010): CUBO, A Mathematical Journal; 195–217 | es-ES |
| dc.source | CUBO, A Mathematical Journal; Vol 12 No 1 (2010): CUBO, A Mathematical Journal; 195–217 | en-US |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.title | Projective Squares in ℙ² and Bott’s Localization Formula | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
