Hodge-Gaussian maps
| dc.creator | Colombo, Elisabetta | |
| dc.creator | Pirola, Gian Pietro | |
| dc.creator | Tortora, Alfonso | |
| dc.date | 2000-05-30 | |
| dc.date.accessioned | 2026-07-07T04:35:36Z | |
| dc.date.available | 2026-07-07T04:35:36Z | |
| dc.description | Let $X$ be a compact Kähler manifold, and let $L$ be a line bundle on $X.$ Define $I_k(L)$ to be the kernel of the multiplication map $ Sym^k H^0 (L) \to H^0 (L^k).$ For all $h \leq k,$ we define a map $ρ: I_k(L) \to Hom (H^{p,q} (L^{-h}), H^{p+1,q-1} (L^{k-h})).$ When $L = K_X$ is the canonical bundle, the map $ρ$ computes a second fundamental form associated to the deformations of $X.$ If $X=C$ is a curve, then $ρ$ is a lifting of the Wahl map $I_2(L) \to H^0 (L^2 \otimes K_C^2).$ We also show how to generalize the construction of $ρ$ to the cases of harmonic bundles and of couples of vector bundles. | |
| dc.description | 26 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0005283 | |
| dc.identifier | http://arxiv.org/abs/math/0005283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59306 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C30; 14H15 | |
| dc.title | Hodge-Gaussian maps | |
| dc.type | text |