Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes
| dc.creator | Bressler, P. | |
| dc.creator | Lunts, V. A. | |
| dc.date | 2003-02-19 | |
| dc.date | 2003-09-17 | |
| dc.date.accessioned | 2026-07-07T04:55:26Z | |
| dc.date.available | 2026-07-07T04:55:26Z | |
| dc.description | The Hard Lefschetz theorem for intersection cohomology of nonrational polytopes was recently proved by K. Karu [Ka]. This theorem implies the conjecture of R. Stanley on the unimodularity of the generalized $h$-vector. In this paper we strengthen Karu's theorem by introducing a canonical bilinear form $(\cdot ,\cdot)_Φ$ on the intersection cohomology $IH(Φ)$ of a complete fan $Φ$ and proving the Hodge-Riemann bilinear relations for $(\cdot ,\cdot)_Φ$. | |
| dc.description | Final version to appear in Indiana University Mathematics Journal | |
| dc.identifier | https://arxiv.org/abs/math/0302236 | |
| dc.identifier | http://arxiv.org/abs/math/0302236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66576 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.title | Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes | |
| dc.type | text |