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Peer-reviewedCC BY-NC-ND 4.0Pure and Applied Mathematics Quarterly

Secondary local monodromy

  • Carlos Simpson
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Abstract

We study higher monodromy of a semistable family, in the relatively simply connected case. We show that the logarithmic de Rham stack on the central fiber allows one to compute the relative Betti rational homotopy type on a nearby fiber with its higher monodromy action of the local torus around a normal crossings point.

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Cite

BibTeXRIS
BibTeX
@article{simpson2026secondary,
  title = {{Secondary local monodromy}},
  author = {Carlos Simpson},
  journal = {Pure and Applied Mathematics Quarterly},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05744713v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - JOUR
TI  - Secondary local monodromy
AU  - Carlos Simpson
PY  - 2026
DA  - 2026/09/10
JO  - Pure and Applied Mathematics Quarterly
UR  - https://hal.science/hal-05744713v1
AB  - We study higher monodromy of a semistable family, in the relatively simply connected case. We show that the logarithmic de Rham stack on the central fiber allows one to compute the relative Betti rational homotopy type on a nearby fiber with its higher monodromy action of the local torus around a normal crossings point.
SN  - 1558-8599
SN  - 1558-8602
ER  -