Compactification minimale et mauvaise reduction

Details Compactification minimale et mauvaise reduction Compactification minimale et mauvaise reduction

2008-11-10

arxiv.org/abs/0811.1484v1

Mathematics

Algebraic Geometry

Scientific paper

We construct the minimal compactification of some modular Siegel varieties at their bad reduction places. These varieties parametrize principally polarized abelian schemes endowed with a parahoric level structure at a prime number $p$, and with an auxiliary level structure ; such varieties have bad reduction at $p$. We also sketch the arithmetic theory of the associated Siegel modular forms. ----- Nous construisons la compactification minimale de certaines varietes modulaires de Siegel en leurs places de mauvaise reduction. Ces varietes parametrent des schemas abeliens principalement polarises munis d'une structure de niveau parahorique en un nombre premier $p$, et d'une structure de niveau auxilliaire ; elles ont mauvaise reduction en $p$. Nous esquissons egalement une theorie arithmetique des formes modulaires de Siegel associees a ces varietes.

Affiliated with

Also associated with

No associations

Rating

Compactification minimale et mauvaise reduction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Compactification minimale et mauvaise reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compactification minimale et mauvaise reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724770