We study the loci of principally polarized abelian varieties with points of high multiplicity on the theta divisor. Using the heat equation and degeneration techniques, we relate these loci and their closures to each other, as well as to the singular set of the universal theta divisor. We obtain bounds on the dimensions of these loci and relations among their dimensions, and make further conjectures about their structure. © Springer Science+Business Media B.V. 2008.
The loci of abelian varieties with points of high multiplicity on the theta divisor / Samuel, Grushevsky; SALVATI MANNI, Riccardo. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 139:1(2009), pp. 233-247. [10.1007/s10711-008-9326-1]
The loci of abelian varieties with points of high multiplicity on the theta divisor
SALVATI MANNI, Riccardo
2009
Abstract
We study the loci of principally polarized abelian varieties with points of high multiplicity on the theta divisor. Using the heat equation and degeneration techniques, we relate these loci and their closures to each other, as well as to the singular set of the universal theta divisor. We obtain bounds on the dimensions of these loci and relations among their dimensions, and make further conjectures about their structure. © Springer Science+Business Media B.V. 2008.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
