Finite abelian covers in positive characteristics
De Michel Brion
Apparaît dans la collection : Conférence à la mémoire de Jean-Pierre Demailly
Ramified Galois covers with finite abelian groups are frequently used in complex algebraic geometry, for example in the proof of vanishing theorems. They behave differently in positive characteristics, as there exists no equivariant resolution of singularities in this setting. The talk will propose a remedy to that failure, and describe a class of diagonalizable covers with applications to curves and surfaces.