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Bernoulli moments of spectral numbers and Hodge numbers
Thomas Brélivet, Claus Hertling
The distribution of the spectral numbers of an isolated hypersurface singularity is studied in terms of the Bernoulli moments. These are certain rational linear combinations of the…
Unfoldings of meromorphic connections and a construction of Frobenius manifolds
Claus Hertling, Yuri Manin
The existence of universal unfoldings of certain germs of meromorphic connections is established. This is used to prove a general construction theorem for Frobenius manifolds. A pa…
Semistable bundles on curves and reducible representations of the fundamental group
Hélène Esnault, Claus Hertling
Bolibruch's examples of representations of pi_1(P^1-finitely many points) which are not realizable by Fuchsian differential systems are adapted to curves of higher genus.
Multiplication on the tangent bundle
Claus Hertling
Manifolds with a commutative and associative multiplication on the tangent bundle are called F-manifolds if a unit field exists and the multiplication satisfies a natural integrabi…
Semistable bundles on curves and irreducible representations of the fundamental group
Hélène Esnault, Eckart Viehweg
This note is an attempt to generalize Bolibruch's theorem from the projective line to curves of higher genus. We show that an irreducible representation of the fundamental group of…