On the computation of the Hilbert polynomial of lines using the conductor of some local rings
| Autor: | Margherita Guida, Ferruccio Orecchia |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Discrete mathematics
Pure mathematics Hilbert series and Hilbert polynomial Hilbert manifold Applied Mathematics General Mathematics Hilbert's fourteenth problem Lattice (group) Hilbert's basis theorem symbols.namesake Hilbert scheme symbols Projective Hilbert space Hilbert–Poincaré series Mathematics |
| Zdroj: | Ricerche di Matematica. 63:329-334 |
| ISSN: | 1827-3491 0035-5038 |
| DOI: | 10.1007/s11587-014-0184-x |
| Popis: | In this paper we compute the Hilbert function and the Hilbert polynomial of the projective closure of a set of lines in the affine space \({\mathbb A}^n_K\), which are parallel to the coordinate axes and pass through a lattice of points. These results generalize those of Guida and Orecchia (J Pure Appl Algebra 208:603–615, 2007). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink