Closed manifolds coming from Artinian complete intersections
| dc.creator | Papadima, Ştefan | |
| dc.creator | Păunescu, Laurenţiu | |
| dc.date | 2004-06-09 | |
| dc.date.accessioned | 2026-07-07T08:48:24Z | |
| dc.date.available | 2026-07-07T08:48:24Z | |
| dc.description | We reformulate the integrality property of the Poincaré inner product in the middle dimension, for an arbitrary Poincaré $\Q$-algebra, in classical terms (discriminant and local invariants). When the algebra is 1-connected, we show that this property is the only obstruction to realizing it by a closed manifold, up to dimension 11. We reinterpret a result of Eisenbud and Levine on finite map germs, relating the degree of the map germ to the signature of the associated local ring, to answer a question of Halperin on artinian weighted complete intersections.We analyse the homogeneous artinian complete intersections over $\Q$ realized by closed manifolds of dimensions 4 and 8, and their signatures. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406161 | |
| dc.identifier | http://arxiv.org/abs/math/0406161 | |
| dc.identifier | Trans. Amer. Math. Soc. 359 (2007), 2777-2786 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143937 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R65;13C40;11E81;58K20 58K20 58K20 | |
| dc.title | Closed manifolds coming from Artinian complete intersections | |
| dc.type | text |