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A complex hypersurface in 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 at most .
By analogy with Grothendieck’s comparison theorem, we say that the global logarithmic comparison theorem (GLCT) holds for if the complex of global logarithmic differential forms computes the complex cohomology of . We develop a general criterion for...
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