Density and completeness of subvarieties of moduli spaces of curves or abelian varieties
| dc.creator | Izadi, E. | |
| dc.date | 1996-09-13 | |
| dc.date.accessioned | 2026-07-07T09:06:58Z | |
| dc.date.available | 2026-07-07T09:06:58Z | |
| dc.description | Let $V$ be a subvariety of codimension $\leq g$ of the moduli space $\cA_g$ of principally polarized abelian varieties of dimension $g$ or of the moduli space $\tM_g$ of curves of compact type of genus $g$. We prove that the set $E_1(V)$ of elements of $V$ which map onto an elliptic curve is analytically dense in $V$. From this we deduce that if $V \subset \cA_g$ is complete, then $V$ has codimension equal to $g$ and the set of elements of $V$ isogenous to a product of $g$ elliptic curves is countable and analytically dense in $V$. We also prove a technical property of the conormal sheaf of $V$ if $V \subset \tM_g$ (or $\cA_g$) is complete of codimension $g$. | |
| dc.description | AMS-LaTeX, 15 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9609008 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9609008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150205 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K99, 14H99 | |
| dc.title | Density and completeness of subvarieties of moduli spaces of curves or abelian varieties | |
| dc.type | text |