La filtration canonique des $${{\mathcal {O}}}$$O-modules p-divisibles
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DOI: 10.1007/s00208-018-1789-2
Abstract: In this article we associate to G, a truncated p-divisible $${{\mathcal {O}}}$$O-module of given signature, where $${{\mathcal {O}}}$$O is a finite unramified extension of $$\mathbb {Z}_p$$Zp, a filtration of G by sub-$${{\mathcal {O}}}$$O-modules under the… read more here.
Keywords: canonique des; filtration; filtration canonique; des mathcal ... See more keywords
On ${\mathcal{D}}$ -modules related to the $b$ -function and Hamiltonian flow
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DOI: 10.1112/s0010437x18007492
Abstract: Let $f$ be a quasi-homogeneous polynomial with an isolated singularity in $\mathbf{C}^{n}$ . We compute the length of the ${\mathcal{D}}$ -modules ${\mathcal{D}}f^{\unicode[STIX]{x1D706}}/{\mathcal{D}}f^{\unicode[STIX]{x1D706}+1}$ generated by complex powers of $f$ in terms of the Hodge filtration on… read more here.
Keywords: mathcal modules; unicode stix; mathcal unicode; stix x1d706 ... See more keywords
On Some Topological Properties of Fourier Transforms of Regular Holonomic ${\mathcal{D}}$-Modules
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DOI: 10.4153/s0008439519000559
Abstract: Abstract We study Fourier transforms of regular holonomic ${\mathcal{D}}$-modules. In particular, we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic ${\mathcal{D}}$-modules will be given. Moreover, we give… read more here.
Keywords: holonomic mathcal; fourier transforms; topological properties; mathcal modules ... See more keywords