Pith. sign in

REVIEW 2 cited by

Twistor Hecke eigensheaves in genus 2

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2403.17045 v1 pith:2D7AQW46 submitted 2024-03-25 math.AG hep-th

Ron Donagi , Tony Pantev , Carlos Simpson This is my paper
classification math.AGhep-th
keywords bundlesheckearxiveigensheavesgenushiggsmathalong
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

Following the strategy outlined in [DP09] arXiv:math/0604617 and [DP22] arXiv:math/0604617 for bundles of rank 2 on a smooth projective curve of genus $2$, we construct flat connections over the moduli of stable bundles, with singularities along the wobbly locus. We verify that the associated $D$-modules are Hecke eigensheaves. The local systems are constructed by the nonabelian Hodge correspondence from Higgs bundles. The spectral varieties of the Higgs bundles are the Hitchin fibers corresponding to the Hecke eigenvalues.

Discussion (0). Sign in to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Remarks on the intersection of two quadrics

    math.AG 2025-06 conditional novelty 7.0 of 10

    A point of the intersection of two quadrics is very stable exactly when the polynomial p(z) built from its coordinates has distinct roots.

  2. Intersection of two quadrics: modular interpretation and Hitchin morphism

    math.AG 2025-06 conditional novelty 6.0 of 10

    The intrinsic Lagrangian fibration on the cotangent bundle of an intersection of two quadrics coincides with the Hitchin morphism of the moduli space of twisted Spin bundles over the associated hyperelliptic curve.

Pith tools