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[unknown]

Pierre-Henri Chaudouard, Gérard Laumon (0)

Annales de l’institut Fourier

[unknown]

Shigeharu Takayama (0)

Annales de l’institut Fourier

Λ-modules and holomorphic Lie algebroid connections

Pietro Tortella (2012)

Open Mathematics

Let X be a complex smooth projective variety, and G a locally free sheaf on X. We show that there is a one-to-one correspondence between pairs (Λ, Ξ), where Λ is a sheaf of almost polynomial filtered algebras over X satisfying Simpson’s axioms and : G r Λ S y m 𝒪 X 𝒢 is an isomorphism, and pairs (L, Σ), where L is a holomorphic Lie algebroid structure on 𝒢 and Σ is a class in F 1 H 2(L, ℂ), the first Hodge filtration piece of the second cohomology of L. As an application, we construct moduli spaces of semistable...

μ -constant monodromy groups and marked singularities

Claus Hertling (2011)

Annales de l’institut Fourier

μ -constant families of holomorphic function germs with isolated singularities are considered from a global perspective. First, a monodromy group from all families which contain a fixed singularity is studied. It consists of automorphisms of the Milnor lattice which respect not only the intersection form, but also the Seifert form and the monodromy. We conjecture that it contains all such automorphisms, modulo ± id . Second, marked singularities are defined and global moduli spaces for right equivalence...

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