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dc.contributor.author | Djoukoue, Derille Kouemo![]() |
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dc.contributor.author | Nang, Philibert![]() |
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dc.date.accessioned | 2023-10-27T08:29:32Z | |
dc.date.available | 2023-10-27T08:29:32Z | |
dc.date.issued | 2022-10 | |
dc.description.abstract | Generalizing MacPherson-Vilonen’s method [2] to arbitrary plane curve singularities, we provide a classification of perverse sheaves on the neighborhood of the origin in the complex plane, which are adapted to a germ of a complex analytic plane curve. We rely on the presentation of the fundamental group of the complement of the curve as obtained by Neto and Silva [5]. The main result is an equivalence of categories between the category of perverse sheaves on C2 stratified with respect to a singular plane curve and the category of n-tuples of finite dimensional vector spaces and linear maps satisfying a finite number of suitable relations. As an application, we classify perverse sheaves with no vanishing cycles at the origin for a special case. | en_US |
dc.description.department | Mathematics and Applied Mathematics | en_US |
dc.description.librarian | am2023 | en_US |
dc.description.sponsorship | The NLAGA project. | en_US |
dc.description.uri | https://www.japan-acad.go.jp/en/publishing/pja_a.html | en_US |
dc.identifier.citation | DjouKoue, D.K. & Nang, P. 2022, 'Perverse sheaves on C2 without vanishing cycles at the origin along a general plane curve with singularities', Proceedings of the Japan Academy Series A: Mathematical Sciences, vol. 98, no. 8, pp. 57-62. http://dx.DOI.org/10.3792/pjaa.98.011. | en_US |
dc.identifier.issn | 0386-2194 | |
dc.identifier.other | 10.3792/pjaa.98.011 | |
dc.identifier.uri | http://hdl.handle.net/2263/93099 | |
dc.language.iso | en | en_US |
dc.publisher | Japan Academy | en_US |
dc.rights | © 2022 The Japan Academy. This article is published open access. | en_US |
dc.subject | Perverse sheaves | en_US |
dc.subject | Local systems | en_US |
dc.subject | Plane curve singularity | en_US |
dc.subject | Fundamental group | en_US |
dc.subject | Algebraic link | en_US |
dc.title | Perverse sheaves on C2 without vanishing cycles at the origin along a general plane curve with singularities | en_US |
dc.type | Article | en_US |