5 citations · 15 across the 16 of their papers we have counts for
18 papers
The derived moduli of perverse sheaves
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We construct higher derived Artin stacks parametrizing constructible sheaves on complex algebraic varieties and compact real analytic varieties. Furthermore, we show that every per…
Standard -structures
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We provide a general construction of induced -structures, that generalizes standard -structures for -categories of sheaves. More precisely, given a presentable $\inft…
The derived moduli of Stokes data
Mauro Porta, Jean-Baptiste Teyssier
The goal of this paper is to show that Stokes data coming from flat bundles form a locally geometric derived stack locally of finite presentation. This generalizes existing geometr…
Estimates for Betti numbers and relative Hermite-Minkowski theorem for perverse sheaves
Haoyu Hu, Jean-Baptiste Teyssier
We prove estimates for the Betti numbers of constructible sheaves in characteristic p>0 depending only on their rank, stratification and wild ramification. In particular, given a s…
Characteristic cycle and wild Lefschetz theorems
Haoyu Hu, Jean-Baptiste Teyssier
By relying on a new approach to Lefschetz type questions based on Beilinson's singular support and Saito's characteristic cycle, we prove an instance of the wild Lefschetz theorem…
Semi-continuity for conductor divisors of étale sheaves
Haoyu Hu, Jean-Baptiste Teyssier
In this article, we prove a semi-continuity property for both conductor divisors and logarithmic conductor divisors for étale sheaves on higher relative dimensions in a geometric s…
Bounding ramification with coherent sheaves
Haoyu Hu, Jean-Baptiste Teyssier
Given a coherent sheaf E on a scheme of finite type X over a perfect field, we introduce a category of complexes of étale sheaves on X with logarithmic conductors bounded by E and…
Exodromy beyond conicality
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We show that compact subanalytic stratified spaces and algebraic stratifications of real varieties have finite exit-path -categories, refining classical theorems of Lefsche…
Homotopy theory of Stokes data
Mauro Porta, Jean-Baptiste Teyssier
In this paper we lay the foundations of an -categorical theory of Stokes data.
Topological exodromy with coefficients
Mauro Porta, Jean-Baptiste Teyssier
The exodromy equivalence relates the derived -category of constructible sheaves on a stratified space (X,P) with the -category of representations of the exit-paths…
Cohomological boundedness for flat bundles on surfaces and applications
Haoyu Hu, Jean-Baptiste Teyssier
This paper explores the cohomological consequences of the existence of moduli spaces for flat bundles with bounded rank and irregularity at infinity and gives unconditional proofs.…
The homotopy-invariance of constructible sheaves
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
The purpose of this paper is to explain why the functor that sends a stratified topological space to the -category of constructible (hyper)sheaves on with coefficie…
Characteristic cycle and wild ramification for nearby cycles of étale sheaves
Haoyu Hu, Jean-Baptiste Teyssier
In this article, we give a bound for the wild ramification of the monodromy action on the nearby cycles complex of a locally constant étale sheaf on the generic fiber of a smooth s…
Moduli of Stokes torsors and singularities of differential equations
Jean-Baptiste Teyssier
Let M be a meromorphic connection with poles along a smooth divisor D in a smooth algebraic variety. Let Sol M be the solution complex of M. We prove that the good formal decomposi…
Skeletons and moduli of Stokes torsors
Jean-Baptiste Teyssier
We prove an analogue for Stokes torsors of Deligne's skeleton conjecture and deduce from it the representability of the functor of relative Stokes torsors by an affine scheme of fi…
Nearby slopes and boundedness for -adic sheaves in positive characteristic
Jean-Baptiste Teyssier
The goal of this paper is to motivate a boundedness conjecture on nearby slopes of -adic sheaves in positive characteristic, and to prove it for smooth curves. For a construc…
A Boundedness theorem for nearby slopes of holonomic D-modules
Jean-Baptiste Teyssier
Using twisted nearby cycles, we define a new notion of slopes for complex holonomic D-modules. We prove a boundedness result for these slopes, study their functoriality and use the…
Tensor product and irregularity for holonomic D-modules
Jean-Baptiste Teyssier
Let M be a complex of D-modules with bounded holonomic cohomology on a complex manifold. In this note, we prove that if the derived tensor product of M with itself is regular, then…