2024 Twistor d-module

Twistor d-module

Author: ysvt

August undefined, 2024

WebThe 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. 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 …

Polarizable twistor D-modules (Book, 2005) [WorldCat.org]

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 … deaths in the philippines

Decomposition theorem for semisimple algebraic holonomic D …

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. 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 … WebWe 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 … deaths in the sims

Infinitesimal Mixed Twistor Modules SpringerLink

Twistor d-module

WebMar 2, 2005 · This conjecture has been proven analytically using polarizable pure twistor D-modules by work of Sabbah [37] and Mochizuki [32,33]. At about the same time, ... WebMar 10, 2008 · Abstract. We study (i) asymptotic behaviour of wild harmonic bundles, (ii) the relation between semisimple meromorphic flat connections and wild harmonic bundles, …

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WebAug 9, 2024 · Given a mixed Hodge module and a meromorphic function f on a complex manifold, we associate to these data a filtration (the irregular Hodge filtration) on the exponentially twisted holonomic ... 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 …

WebTable of Contents. Chapters. Part 4. An application to the theory of pure twistor $D$-modules Chapter 14. Pure twistor $D$-module Chapter 15. Web3. Preliminary for mixed twistor structure 4. Preliminary for filtrations 5. Some lemmas for generically splitted case 6. Model bundles Part 2. Prolongation of deformed holomorphic bundles 7. Harmonic bundles on a punctured disc 8. Harmonic bundles on a product of punctured discs 9.

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 … WebGet 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. ...

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 …

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. deaths in the walking deadWebMar 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. … genetic modification of seedsWebIn 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 … deaths in tippecanoe county indianaWebMar 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 … deaths in training modhttp://www.math.polytechnique.fr/SEDIGA/documents/mochizuki_luminy1206.pdf genetic modification process of papayaWebApr 18, 2011 · In a sense, mixed twistor -modules could be regarded as a twistor version of mixed Hodge modules due to M. Saito . In the other sense, they could be a mixed version of pure twistor -modules studied by C. Sabbah and the author. A theory of mixed twistor -modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem, … deaths in titusville floridaWebWe propose a definition of (polarized) wild twistor D-modules, generalizing to objects with irregular singularities that of (polarized) regular twistor D-modules. We give a precise … genetic modification ted talk