Integrable deformations and degenerations of some irregular singularities
Algebraic Geometry
2022-08-09 v4
Abstract
Inspired by an article of Cotti, Dubrovin and Guzzetti arXiv:1706.04808, we extend to a degenerate case a result of Malgrange on integrable deformations of irregular singularities. We give an application to integrable deformations of the solution of some Birkhoff problem and apply it to the construction of Frobenius manifolds.
Keywords
Cite
@article{arxiv.1711.08514,
title = {Integrable deformations and degenerations of some irregular singularities},
author = {Claude Sabbah},
journal= {arXiv preprint arXiv:1711.08514},
year = {2022}
}
Comments
V2: 27 pages, 1 figure, some errors corrected, presentation improved due to a recent result of J.-B. Teyssier arXiv:1802.00289. V3: 35 pages. Revised version to appear in Publ. RIMS, Kyoto University. Introduction improved with modivations added. Improvements of the presentation of some of th results. Previous Section 4.b deleted as being not necessary. V4: final version to be published