4 problems

0 votes0 replies0 views
Relative Riemann–Hilbert correspondence for reduced locally trivial morphisms
Relative Riemann–Hilbert correspondence. There is a one-to-one correspondence between pairs $(\mathcal{F},\nabla_f)$ consisting of an $\mathcal{O}_X$ -coherent module and a flat tam…
Problemopencomplex-analytic-geometry riemann-hilbert-correspondencearXiv posted 2 days ago
0 votes0 replies0 views
Riemann–Hilbert correspondence for discrete Painlevé equations
The generalised Halphen surface and the corresponding Looijenga pair are the geometric objects associated with the discrete Painlevé equation under consideration. Riemann–Hilbert c…
Conjectureopenalgebraic-geometry painleve-equations riemann-hilbert-correspondencearXiv posted 2 days ago
0 votes0 replies0 views
The logarithmic Riemann–Hilbert correspondence conjecture for geometric local systems
Logarithmic Riemann–Hilbert correspondence conjecture. The two tensor functors from the category of geometric $p$ -adic étale local systems on $X$ to the category of regular integra…
Conjectureopenp-adic-hodge-theory riemann-hilbert-correspondence variations-of-hodge-structuresarXiv posted 2 days ago
0 votes0 replies0 views
The reconstruction conjecture for holonomic systems
Let $X$ be a complex analytic manifold and let $\boldsymbol{P}$ denote the complex projective line. Consider the contravariant functors … obtained from tempered holomorphic solutio…
Conjectureopenholonomic-systems ind-sheaves riemann-hilbert-correspondencearXiv posted 2 days ago

4 problems

Relative Riemann–Hilbert correspondence for reduced locally trivial morphisms

Riemann–Hilbert correspondence for discrete Painlevé equations

The logarithmic Riemann–Hilbert correspondence conjecture for geometric local systems

The reconstruction conjecture for holonomic systems