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pro vyhledávání: '"Saito Morihiko"'
For a projective variety $X$ we have the intersection complex $L$-class defined by using the self-duality of the intersection complex and also the constant coefficient $L$-class which is the specialization at $y=1$ of the Hirzebruch characteristic cl
Externí odkaz:
http://arxiv.org/abs/2407.11769
For a hypersurface isolated singularity, we verify that the Tjurina spectrum depends only on the complex analytic hypersurface germ. This is reduced to the analytic version of a theorem of Mustata and Popa on the coincidence of the Hodge ideals with
Externí odkaz:
http://arxiv.org/abs/2406.06242
Autor:
Saito, Morihiko
We survey a theory of limits of polarizable variations of real Hodge structure in the quasi-unipotent monodromy case using the V-filtration of Kashiwara and Malgrange indexed by rational numbers, which does not necessarily seem familiar to many peopl
Externí odkaz:
http://arxiv.org/abs/2306.13038
We give an explicit formula to express the cohomological pullback functors of Hodge modules under closed immersions of smooth varieties using Verdier specializations and $V$-filtrations of Kashiwara and Malgrange. This was locally obtained by the fir
Externí odkaz:
http://arxiv.org/abs/2304.13644
Autor:
Saito, Morihiko
We show that it is possible to utilize the Hirzebruch-Milnor classes of projective hypersurfaces in the classical sense to detect higher du Bois or rational singularities only in some special cases. We also give several remarks clarifying some points
Externí odkaz:
http://arxiv.org/abs/2303.04724
We extend the Hirzebruch-Milnor class of a hypersurface $X$ to the case where the normal bundle is nontrivial and $X$ cannot be defined by a global function, using the associated line bundle and the graded quotients of the monodromy filtration. The e
Externí odkaz:
http://arxiv.org/abs/2302.00970
Autor:
Dimca Alexandru, Saito Morihiko
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 22, Iss 2, Pp 69-78 (2014)
In this note we clarify some subtle points on the limit mixed Hodge structures and on the spectrum. These are more or less well-known to the specialists, but do not seem to be stated explicitly in the literature. However, as they do not seem to be ob
Externí odkaz:
https://doaj.org/article/4a76d9576a0d4ea183ac3a0f85d8de56
Autor:
Saito, Morihiko
Let $f$ be a semi-weighted-homogeneous polynomial having an isolated singularity at 0. Let $\alpha_{f,k}$ be the spectral numbers of $f$ at 0. By Malgrange and Varchenko there are non-negative integers $r_k$ such that the $\alpha_{f,k}-r_k$ are the r
Externí odkaz:
http://arxiv.org/abs/2210.01028
Autor:
Saito, Morihiko
Let $f$ be a convergent power series of $n$ variables having an isolated singularity at 0. For a rational number $\alpha$, setting $(X,0)=({\mathbb C}^n,0)$, we show that the length of the ${\mathcal D}_X$-module ${\mathcal D}_Xf^{-\alpha}$ is given
Externí odkaz:
http://arxiv.org/abs/2208.08977
Autor:
Saito, Morihiko
We explain a correct proof of the decomposition theorem for direct images of constant Hodge modules by proper K\"ahler morphisms of complex manifolds. We also give some examples showing certain difficulty in the non-constant Hodge module case.
C
C
Externí odkaz:
http://arxiv.org/abs/2204.09026