Mathematics – Number Theory
Scientific paper
2004-12-29
Mathematics
Number Theory
A survey of author's results on finite group schemes
Scientific paper
This paper is a summary of author's results on finite flat commutative group schemes. The properties of the generic fibre functor are discussed. A complete classification of finite local flat commutative group schemes over mixed characteristic complete discrete valuation rings in terms of their Cartier modules (defined by Oort) is given. We also state several properties of tangent space of these schemes. These results are applied to the study of reduction of Abelian varieties. A finite $p$-adic semistable reduction criterion is formulated. It looks especially nice in the ordinary reduction case. The plans of the proofs are described.
No associations
LandOfFree
Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of Abelian varieties 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 Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of Abelian varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of Abelian varieties will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-319796