(TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ

preprint2020arXivOpen access

Abstract

We find formal and holomorphic normal forms for a class of meromorphic connections (the so-called (TE)(TE)-structures) over the irreducible 22-dimensional globally nilpotent FF-manifold germ N2\mathcal N_{2}. We find normal forms for Euler fields on N2\mathcal N_{2} and we characterize the Euler fields on N2\mathcal N_{2} which are induced by a (TE)(TE)-structure.

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