A Barth-Lefschetz theorem for toric varieties
| dc.creator | Zintl, Joerg | |
| dc.date | 2001-12-19 | |
| dc.date | 2002-06-06 | |
| dc.date.accessioned | 2026-07-07T04:45:21Z | |
| dc.date.available | 2026-07-07T04:45:21Z | |
| dc.description | The theorem of Barth-Lefschetz is a statement about the cohomology of a submanifold X of some projective space, in a range depending on the codimension of the embedding. Here this is generalized to the case of a submanifold X of a smooth projective toric variety Y, under some natural conditions on X. In particular, in the Barth-Lefschetz range a formula for the Hodge numbers of X in terms of the toric, i.e. combinatorial data of Y is given. | |
| dc.description | One footnote and one reference added to the published version; 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0112198 | |
| dc.identifier | http://arxiv.org/abs/math/0112198 | |
| dc.identifier | Math. Z. 242, 415-426 (2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62922 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F25 (Primary), 14M25, 14M07 (Secondary) | |
| dc.title | A Barth-Lefschetz theorem for toric varieties | |
| dc.type | text |