Riemann reciprocity in higher dimensions
| dc.creator | Karpishpan, Yakov | |
| dc.date | 1994-09-09 | |
| dc.date.accessioned | 2026-07-07T09:06:11Z | |
| dc.date.available | 2026-07-07T09:06:11Z | |
| dc.description | The reciprocity law for abelian differentials of first and second kind is generalized to higher-dimensional varieties. It is shown that $H^1(V)$ of a polarized variety $V$ is encoded in the Laurent data along a curve germ in $V$, with the polarization form on $H^1(V)$ corresponding to the {\em one-dimensional} residue pairing. This associates an {\em extended abelian variety} to $V$; if $V$ is an abelian variety itself, our construction ``extends" it, even when $V$ is not a Jacobian. | |
| dc.description | 15 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9409004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9409004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149924 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Riemann reciprocity in higher dimensions | |
| dc.type | text |