2 citations · 2 across the 8 of their papers we have counts for
10 papers
A note on fierce ramification
Hélène Esnault, Lars Kindler, Vasudevan Srinivas
We show that bounding ramification at infinity bounds fierce ramification. This answers positively a question of Deligne posed to the first named author.
Wild ramification of nilpotent coverings and coverings of bounded degree
Lars Kindler
A finite étale map between irreducible, normal varieties is called tame, if it is tamely ramified with respect to all partial compactifications whose boundary is the support of a s…
The homotopy sequence for regular singular stratified bundles
Giulia Battiston, Lars Kindler
A separable, proper morphism of varieties with geometrically connected fibers induces a homotopy exact sequence relating the étale fundamental groups of source, target and fiber. E…
Lefschetz theorems for tamely ramified coverings
Hélène Esnault, Lars Kindler
As is well known, the Lefschetz theorems for the étale fundamental group of SGA1 do not hold. We fill a small gap in the literature showing they do for tame coverings. Let be a…
Pullback of regular singular stratified bundles and restriction to curves
Lars Kindler
A stratified bundle is a vector bundle which is a D-module. We show that regular singularity of stratified bundles on smooth varieties in positive characteristic is preserved by pu…
Introductory course on -adic sheaves and their ramification theory on curves
Lars Kindler, Kay Rülling
These are the notes accompanying 13 lectures given by the authors at the Clay Mathematics Institute Summer School 2014 in Madrid. The notes give an introduction into the theory of…
Local-to-global extensions of D-modules in positive characteristic
Lars Kindler
In "On the calculation of some differential Galois groups" (Invent. Math. 87 (1987), no. 1), Katz defines the notion of a special flat connection on the complex affine line minus t…
Evidence for a generalization of Gieseker's conjecture on stratified bundles in positive characteristic
Lars Kindler
Let X be a smooth, connected, projective variety over an algebraically closed field of positive characteristic. In "Flat vector bundles and the fundamental group in non-zero charac…
Regular singular stratified bundles and tame ramification
Lars Kindler
Let X be a smooth variety over an algebraically closed field k of positive characteristic. We define and study a general notion of regular singularities for stratified bundles (i.e…
The Picard Group of Simply Connected Regular Varieties and Stratified Line Bundles
Lars Kindler
We prove that the Picard group of a regular simply connected variety over an algebraically closed field of arbitrary characteristic is finitely generated. The main difficulty to ov…