Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Hohl, Andreas"'
Autor:
Hohl, Andreas, Jakob, Konstantin
We define categories of Stokes filtered and Stokes graded $G$-local systems for reductive groups $G$ and use the formalism of Tannakian categories to show that they are equivalent to the category of $G$-connections. We then use the interpretation of
Externí odkaz:
http://arxiv.org/abs/2404.09582
Autor:
Douçot, Jean, Hohl, Andreas
We reinterpret a result of T. Mochizuki about the Fourier transform of Stokes data of irregular connections on the Riemann sphere in the language of Stokes local systems due to P. Boalch. We thus obtain a clean topological description of the Stokes m
Externí odkaz:
http://arxiv.org/abs/2402.05108
Autor:
Hohl, Andreas
We study some aspects of conjugation and descent in the context of the irregular Riemann-Hilbert correspondence of D'Agnolo-Kashiwara. First, we give a proof of the fact that Kashiwara's conjugation functor for holonomic D-modules is compatible with
Externí odkaz:
http://arxiv.org/abs/2307.15608
Autor:
Hohl, Andreas, Schapira, Pierre
We prove that various morphisms related to the six Grothendieck operations on sheaves become isomorphisms when restricted to (weakly) constructible sheaves.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2303.11189
Autor:
Hohl, Andreas
We study extension of scalars for sheaves of vector spaces, assembling results that follow from well-known statements about vector spaces, but also developing some complements. In particular, we formulate Galois descent in this context, and we also d
Externí odkaz:
http://arxiv.org/abs/2302.14837
Autor:
Hepler, Brian, Hohl, Andreas
For any holomorphic function $f\colon X\to \mathbb{C}$ on a complex manifold $X$, we define and study moderate growth and rapid decay objects associated to an enhanced ind-sheaf on $X$. These will be sheaves on the real oriented blow-up space of $X$
Externí odkaz:
http://arxiv.org/abs/2206.06095
Autor:
Hohl, Andreas, Jakob, Konstantin
Publikováno v:
Tohoku Math. J. (2) 74 (2022), 501-520
We compute Stokes matrices for generalised Airy equations and prove that they are regular unipotent (up to multiplication with the formal monodromy). This class of differential equations was defined by Katz and includes the classical Airy equation. I
Externí odkaz:
http://arxiv.org/abs/2103.16497
We study Betti structures in the solution complexes of confluent hypergeometric equations. We use the framework of enhanced ind-sheaves and the irregular Riemann-Hilbert correspondence of D'Agnolo-Kashiwara. The main result is a group theoretic crite
Externí odkaz:
http://arxiv.org/abs/2012.12140
Autor:
Hohl, Andreas
Publikováno v:
Manuscripta Math. 167 (2022), 435-467
Differential systems of pure Gaussian type are examples of D-modules on the complex projective line with an irregular singularity at infinity, and as such are subject to the Stokes phenomenon. We employ the theory of enhanced ind-sheaves and the Riem
Externí odkaz:
http://arxiv.org/abs/2002.04327
