Deformations of Holomorphic Group Actions.
Unfoldings of Meromorphic Functions.
Deformations of Holomorphic Seifert Fiber Spaces.
A Theorem of Versality for Unfoldings of Complex Analytic Foliation Singularities.
Unfoldings of foliations with multiform first integrals
Let be a codim 1 local foliation generated by a germ of the form for some complex numbers and germs of holomorphic functions at the origin in . We determine, under some conditions, the set of equivalence classes of first order unfoldings and construct explicitly a universal unfolding of . Special cases of this include foliations with holomorphic or meromorphic first integrals. We also show that the unfolding theory for is equivalent to the unfolding theory for the multiform function...
Residue formulas for meromorphic functions on surfaces
A residue formula for the index of a holomorphic flow.
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