## 944 Citations

### Semistable abelian Varieties over Q

- Mathematics
- 2003

We prove that for N=6 and N=10, there do not exist any non-zero semistable abelian varieties over Q with good reduction outside primes dividing N. Our results are contingent on the GRH discriminant…

### On threefolds with the smallest nontrivial monodromy group

- Mathematics
- 2022

. Using an adjunction-theoretic result due to A. J. Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting on H 2 of its…

### A generalization of Grothendieck’s extension Panachées

- MathematicsProceedings - Mathematical Sciences
- 2019

We formulate a generalization of the extension problem for exact sequences which was considered in [SGA VII] and give a necessary and sufficient criterion for the solution to exist. We also remark on…

### A G ] 3 A ug 2 01 8 Degeneration of Kummer surfaces

- Mathematics
- 2018

We prove that a Kummer surface defined over a complete strictly Henselian discretely valued field K of residue characteristic different from 2 admits a strict Kulikov model after finite base change.…

### The characteristic cycle and the singular support of a constructible sheaf

- Mathematics
- 2015

We define the characteristic cycle of an étale sheaf as a cycle on the cotangent bundle of a smooth variety in positive characteristic using the singular support recently defined by Beilinson. We…

### VARIATION OF MIXED HODGE STRUCTURES

- Mathematics
- 2012

Variation of mixed Hodge structures(VMHS), introduced by P. Deligne, is a linear structure reflecting the geometry on cohomology of the fibers of an algebraic family, generalizing variation of Hodge…

### Discriminants and Artin conductors

- Mathematics
- 2011

We study questions of multiplicities of discriminants for degenerations coming from projective duality over discrete valuation rings. The main observation is a type of discriminant-different formula…

### Variétés abéliennes et invariants arithmétiques

- Mathematics
- 2006

Dans la continuite de nos travaux precedents, nous etudions un analogue, pour le modele de Neron d´une variete abelienne semi-stable sur un corps de nombres, du class-invariant homomorphism introduit…

### Semistable abelian varieties over ℚ

- Mathematics
- 2004

Abstract.We prove that for N=6 and N=10, there do not exist any non-zero semistable abelian varieties over ℚ with good reduction outside primes dividing N. Our results are contingent on the GRH…

### Construction of unramified Galois extensions over maximal abelian extensions of algebraic number fields

- Mathematics
- 2000

We construct unramified Galois extensions over max- imal abelian extensions of algebraic number fields by using division points of abelian varieties which have everywhere semistable reduc- tion.…