The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties
| dc.creator | Franecki, J. | |
| dc.creator | Kapranov, M. | |
| dc.date | 1999-09-15 | |
| dc.date.accessioned | 2026-07-07T05:30:47Z | |
| dc.date.available | 2026-07-07T05:30:47Z | |
| dc.description | For an irreducible subvariety Z in an algebraic group G we define a nonnegative integer gdeg(Z) as the degree, in a certain sense, of the Gauss map of Z. It can be regarded as a substitution for the intersection index of the conormal bundle to Z with the zero section of T^*G, even though G may be non-compact. For G a semiabelian variety (in particular, an algebraic torus (C^*)^n) we prove a Riemann-Roch-type formula for constructible sheaves on G, which involves our substitutions for the intersection indices. As a corollary, we get that a perverse sheaf on such a G has nonnegative Euler characteristic, generalizing a theorem of Loeser-Sabbah. | |
| dc.description | 9 pages, AMS-Tex | |
| dc.identifier | https://arxiv.org/abs/math/9909088 | |
| dc.identifier | http://arxiv.org/abs/math/9909088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79107 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties | |
| dc.type | text |