Holonomic D‑Modules on Complex Curves and Mirror Pullback : A Structure‑Preserving Comparison via Automorphisms

This paper introduces the mirror pullback of holonomic D‑modules on complex curves, a structure‑preserving comparison defined via automorphisms. It maintains one‑dimensional thickness, transforms monodromy naturally, and provides a new framework consistent with the Riemann–Hilbert correspondence.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-25
DOI
https://doi.org/10.5281/zenodo.22087023
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
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article

Holonomic D‑Modules on Complex Curves and Mirror Pullback : A Structure‑Preserving Comparison via Automorphisms

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Advanced Algebra and Geometry
article

Holonomic D‑Modules on Complex Curves and Mirror Pullback : A Structure‑Preserving Comparison via Automorphisms

Shin Tamaki
article en

Abstract

This paper introduces the mirror pullback of holonomic D‑modules on complex curves, a structure‑preserving comparison defined via automorphisms. It maintains one‑dimensional thickness, transforms monodromy naturally, and provides a new framework consistent with the Riemann–Hilbert correspondence.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Advanced Algebra and Geometry
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Holonomic D‑Modules on Complex Curves and Mirror Pullback : A Structure‑Preserving Comparison via Automorphisms — Shin Tamaki · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS