Twistor d-module

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August undefined, 2024

WebSince we shall later prove that any mixed twistor $\mathcal{D}$-module is expressed as a gluing of some admissible variations of mixed twistor structures (Sects. 10.3 and 11.1), mixed twistor $\mathcal{D}$-modules can be regarded as … WebIn Sects. 13.1–13.2, we study the duality functor for $\mathcal{R}$-modules.The definition is given as in the case of $\mathcal{D}$-modules.One remark is that we need to twist the naively defined one as in (), where $\boldsymbol{D}_{X}^{{\prime}}$ is the naive one and $\boldsymbol{D}_{X}$ is the correct one.The twist admits us to have the compatibility of …

Wild harmonic bundles and wild pure twistor $D$-modules

Web[8]T. Mochizuki, Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules, I, Mem. Amer. Math. Soc. 185 (2007), no. 869. [9]T. Mochizuki, Asymptotic behaviour of tame harmonic bundles and an … WebAs another application, the author establishes the correspondence of semisimple regular holonomic $D$-modules and polarizable pure imaginary pure twistor $D$-modules through tame pure imaginary harmonic bundles, which is a conjecture of C. Sabbah. phenyl molecular weight

Duality and Real Structure of Mixed Twistor $$\mathcal{D}$$ -Modules …

WebIn a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem … WebHarmonic bundle A harmonic bundle is a Higgs bundle with a pluri-harmonic metric. A Higgs ﬁeld of a holomorphic vector bundle (E,∂E) is a holomorphic section θof End(E)⊗Ω1,0 X … WebMar 10, 2008 · Takuro Mochizuki. We study (i) asymptotic behaviour of wild harmonic bundles, (ii) the relation between semisimple meromorphic flat connections and wild harmonic bundles, (iii) the relation between wild … phenyl morpholine-4-carboxylate

[1104.3366] Mixed twistor D-modules - arXiv.org

Mixed Twistor D-modules - ResearchGate

Web%0 Book %A Mochizuki, Takuro %T Wild harmonic bundles and wild pure twistor $D$-modules %S Astérisque %D 2011 %N 340 %I Société mathématique de France %G en %F ... WebDec 11, 2003 · We give the correspondence of semisimple D-modules and polarizable pure twistor D-modules in the sense of Sabbah. As a result, the regular holonomic version of … phenyl moleculeWebMar 2, 2005 · We prove a Decomposition Theorem for the direct image of an irreducible local system on a smooth complex projective variety under a morphism with values in another … phenyl methyl sulfide

"WebNov 28, 2024 · We study the V-filtration of the mixed twistor $$\\mathcal {D}$$ D -modules associated to algebraic meromorphic functions. We prove that their relative de Rham … " - Twistor d-module

Twistor d-module

WebIndeed, we study admissible variation of polarizable mixed twistor structure in Sect. 9.2, and admissible variation of infinitesimal mixed twistor module in Sect. 9.3. But, we should emphasize that they are just rather auxiliary objects for the argument in Chap. 10. Let us mention why we discuss such objects. WebAny holonomic $\mathcal{D}$-module is locally expressed as the gluing of some meromorphic flat bundles on subvarieties.In this sense, meromorphic flat bundles are building blocks of holonomic $\mathcal{D}$-modules.In a similar sense, admissible variations of mixed twistor structure are building blocks of mixed twistor $\mathcal{D}$ …

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WebAug 28, 2015 · The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular. Read more. Previous page. ISBN-10. 3319100874. ISBN-13. 978-3319100876. Edition. http://www.math.polytechnique.fr/SEDIGA/documents/mochizuki_luminy1206.pdf

WebIn this chapter, we shall prove some basic properties of mixed twistor $\mathcal{D}$-modules.The most basic is the expression of mixed twistor $\mathcal{D}$-modules as the gluing of admissible variations of mixed twistor structure studied in Sect. 11.1.. Keywords. Holomorphic Function WebSep 14, 2016 · Request PDF Riemann-Hilbert correspondence for mixed twistor D-Modules We introduce the notion of regularity for a relative holonomic $\mathcal D$-module in …

Webstrength of the theory of mixed twistor D-modules. We have an identi cation: integrable mixed twistor D-modules on a point ()a non-commutative mixed Hodge structure. (4) From the point of view of non-commutative mixed Hodge structures, in-tegrable mixed twistor D-modules, the E 1-degeneration property follows from the following rescaling ... WebMar 3, 2008 · Abstract: We propose a definition of (polarized) wild twistor D-modules, generalizing to objects with irregular singularities that of (polarized) regular twistor D …

WebHard Lefschetz Theorem (Polarizable pure twistor D-module) Let f: X −→ Y be any projective morphism with a relatively ample line bundle L. Let T be a polarizable pure twistor D …

WebWe introduce the notion of regularity for a relative holonomic ${\\mathcal{D}}$ -module in the sense of Monteiro Fernandes and Sabbah [Internat. Math. Res. Not. (21) (2013), 4961–4984]. We prove that the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes is … phenyl molecular formulaWebMay 19, 2024 · We introduce the notion of regularity for a relative holonomic ${\mathcal{D}}$-module in the sense of Monteiro Fernandes and Sabbah [Internat. Math. Res. Not. (21) (2013), 4961–4984]. We prove that the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible … phenyl msds pdfWebGet this from a library! Polarizable twistor D-modules. [Claude Sabbah; Société mathématique de France.] -- We prove a Decomposition Theorem for the direct image of an irreducible local system on a smooth complex projective variety under a morphism with values in another smooth complex projective variety. ... phenyl monomerhttp://www2.kobe-u.ac.jp/~mhsaito/1612kobe/slide/sabbah.pdf phenyl naphthylWebThe theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular. 487 pages, Paperback. First published September 14, 2015. phenyl mr phenyl-ncsWebMar 3, 2008 · Since we shall later prove that any mixed twistor $\mathcal{D}$-module is expressed as a gluing of some admissible variations of mixed twistor structures (Sects. … phenyl naphthylamine