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19992023
most citedExponents of an irreducible plane curve singularity

25 citations · 330 across the 96 of their papers we have counts for

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Showing 2009Show all

6 papers · 1 filter

math.AG2009

Generalization of Neron models of Green, Griffiths and Kerr

Morihiko Saito

We explain some recent developments in the theory of Neron models for families of Jacobians associated to variations of Hodge structures of weight -1.

math.AG2009★ 1 cited

Relative Chow-Kuenneth decompositions for morphisms of threefolds

Stefan Müller-Stach, Morihiko Saito

We show that any nonconstant morphism of a threefold admits a relative Chow-Kuenneth decomposition. As a corollary we get sufficient conditions for threefolds to admit an absolute…

math.AG2009★ 1 cited

A variant of Neron models over curves

Morihiko Saito, Christian Schnell

We study a variant of the Neron models over curves which is recently found by the second named author in a more general situation using the theory of Hodge modules. We show that it…

math.AG2009★ 1 cited

First Milnor cohomology of hyperplane arrangements

Nero Budur, Alexandru Dimca, Morihiko Saito

We show a combinatorial formula for a lower bound of the dimension of the non-unipotent monodromy part of the first Milnor cohomology of a hyperplane arrangement satisfying some co…

math.AG2009★ 2 cited

Cohomology classes of admissible normal functions

Morihiko Saito

We study the map associating the cohomology class of an admissible normal function on the product of punctured disks, and give some sufficient conditions for the surjectivity of th…

math.AG2009★ 3 cited

Jumping coefficients and spectrum of a hyperplane arrangement

Nero Budur, Morihiko Saito

In an earlier version of this paper written by the second named author, we showed that the jumping coefficients of a hyperplane arrangement depend only on the combinatorial data of…