Cohomological connectivity of perturbations of map-germs

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Yongqiang Liu
  • Guillermo Peñafort Sanchis
  • Matthias Pablo Zach

Organisationseinheiten

Externe Organisationen

  • University of Science and Technology of China
  • Universitat de Valencia
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Details

OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 26 März 2021

Abstract

Let f:(Cn,S)→(Cp,0) be a finite map-germ with n<p and Yδ the image of a small perturbation fδ. We show that the reduced cohomology of Yδ is concentrated in a range of degrees determined by the dimension of the instability locus of f. In the case n≥p we obtain an analogous result, replacing finiteness by K-finiteness and Yδ by the discriminant Δ(fδ). We also study the monodromy associated to the perturbation fδ.

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Cohomological connectivity of perturbations of map-germs. / Liu, Yongqiang; Sanchis, Guillermo Peñafort; Zach, Matthias Pablo.
2021.

Publikation: Arbeitspapier/Preprint › Preprint

Liu, Y., Sanchis, G. P., & Zach, M. P. (2021). Cohomological connectivity of perturbations of map-germs. Vorabveröffentlichung online. https://arxiv.org/abs/2103.14685
Liu Y, Sanchis GP, Zach MP. Cohomological connectivity of perturbations of map-germs. 2021 Mär 26. Epub 2021 Mär 26.
Liu, Yongqiang ; Sanchis, Guillermo Peñafort ; Zach, Matthias Pablo. / Cohomological connectivity of perturbations of map-germs. 2021.
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