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Linear free divisors and the global logarithmic comparison theorem

Michel GrangerDavid MondAlicia Nieto-ReyesMathias Schulze — 2009

Annales de l’institut Fourier

A complex hypersurface D in n is a linear free divisor (LFD) if its module of logarithmic vector fields has a global basis of linear vector fields. We classify all LFDs for n at most 4 . By analogy with Grothendieck’s comparison theorem, we say that the global logarithmic comparison theorem (GLCT) holds for D if the complex of global logarithmic differential forms computes the complex cohomology of n D . We develop a general criterion for...

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