The semistable reduction theorem for curves was discussed in Christian’s notes. In these notes, we will use that result to prove an analogous theorem for abelian varieties. After some preliminaries on semi-abelian varieties (to convince us that the notion is a robust one), we will review the notion of a semi-abelian scheme (introduced in Christian’s lecture), recal
The book represents an introduction to the theory of abelian varieties with a view to arithmetic. Th...
AbstractWe classify semistable sheaves on a rational curve with one node. The results are based on t...
Presenting the first systematic treatment of the behavior of Néron models under ramified base change...
We show that there are no non-zero semi-stable abelian varieties over with good reduction outside 3 ...
AbstractWe obtain necessary and sufficient conditions for abelian varieties to acquire semistable re...
We give a new proof of the Semistable Reduction Theorem for curves. The main idea is to present a cu...
Abstract. The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q wi...
We show that for the primes l = 2, 3, 5, 7 or 13, there do not exist any non-zero abelian varieties ...
This thesis deals with "semistably degenerating abelian varieties" over a scheme. In particular we i...
We define here an analogue, for a semi-stable group scheme whose generic fiber is an abelian variety...
We define here an analogue, for a semi-stable group scheme whose generic fiber is an abelian variety...
Dans cette thèse, on s'intéresse à la propriété de semi-stabilité des variétés abéliennes sur les co...
We prove a semistable reduction theorem for principal bundles on curves in almost arbitrary characte...
AbstractGiven an abelian variety over a field with a discrete valuation, Grothendieck defined a cert...
We define here an analogue, for the Néron model of a semi-stable abelian variety defined over a numb...
The book represents an introduction to the theory of abelian varieties with a view to arithmetic. Th...
AbstractWe classify semistable sheaves on a rational curve with one node. The results are based on t...
Presenting the first systematic treatment of the behavior of Néron models under ramified base change...
We show that there are no non-zero semi-stable abelian varieties over with good reduction outside 3 ...
AbstractWe obtain necessary and sufficient conditions for abelian varieties to acquire semistable re...
We give a new proof of the Semistable Reduction Theorem for curves. The main idea is to present a cu...
Abstract. The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q wi...
We show that for the primes l = 2, 3, 5, 7 or 13, there do not exist any non-zero abelian varieties ...
This thesis deals with "semistably degenerating abelian varieties" over a scheme. In particular we i...
We define here an analogue, for a semi-stable group scheme whose generic fiber is an abelian variety...
We define here an analogue, for a semi-stable group scheme whose generic fiber is an abelian variety...
Dans cette thèse, on s'intéresse à la propriété de semi-stabilité des variétés abéliennes sur les co...
We prove a semistable reduction theorem for principal bundles on curves in almost arbitrary characte...
AbstractGiven an abelian variety over a field with a discrete valuation, Grothendieck defined a cert...
We define here an analogue, for the Néron model of a semi-stable abelian variety defined over a numb...
The book represents an introduction to the theory of abelian varieties with a view to arithmetic. Th...
AbstractWe classify semistable sheaves on a rational curve with one node. The results are based on t...
Presenting the first systematic treatment of the behavior of Néron models under ramified base change...