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2 results

  • Linear free divisors and Frobenius manifolds

  • Part of
  • Ignacio de Gregorio, David Mond, Christian Sevenheck
  • Journal:
    Compositio Mathematica / Volume 145 / Issue 5 / September 2009
    Published online by Cambridge University Press:
    23 October 2009, pp. 1305-1350
    Print publication:
    September 2009
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  • We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauß–Manin system associated to these functions, and prove the existence of a primitive and homogenous form. As a consequence, we show that the base space of the semi-universal unfolding of such a function carries a Frobenius manifold structure.

  • Classifying spaces for polarized mixed Hodge structures and for Brieskorn lattices

  • CLAUS HERTLING
  • Journal:
    Compositio Mathematica / Volume 116 / Issue 1 / March 1999
    Published online by Cambridge University Press:
    04 December 2007, pp. 1-37
    Print publication:
    March 1999
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  • Classifying spaces and moduli spaces are constructed for two invariants of isolated hypersurface singularities, for the polarized mixed Hodge structure on the middle cohomology of the Milnor fibre, and for the Brieskorn lattice as a subspace of the Gauß–Manin connection. The relations between them, period mappings for μ-constant families of singularities, and Torelli theorems are discussed.