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arXiv · 2001.01063

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

Liana David·Claus Hertling
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Abstract

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

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Liana David, Claus Hertling. 2020-05-31. (TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ. https://arxiv.org/abs/2001.01063

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