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020 _a9783319100883
_9978-3-319-10088-3
024 7 _a10.1007/978-3-319-10088-3
_2doi
050 4 _aQA331.7
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.94
_223
100 1 _aMochizuki, Takuro.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMixed Twistor D-modules
_h[electronic resource] /
_cby Takuro Mochizuki.
250 _a1st ed. 2015.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXX, 487 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2125
505 0 _aIntroduction -- Preliminary -- Canonical prolongations -- Gluing and specialization of r-triples -- Gluing of good-KMS r-triples -- Preliminary for relative monodromy filtrations -- Mixed twistor D-modules -- Infinitesimal mixed twistor modules -- Admissible mixed twistor structure and variants -- Good mixed twistor D-modules -- Some basic property -- Dual and real structure of mixed twistor D-modules -- Derived category of algebraic mixed twistor D-modules -- Good systems of ramified irregular values.
520 _aWe introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In 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, and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular. .
650 0 _aFunctions of complex variables.
650 0 _aAlgebraic geometry.
650 1 4 _aSeveral Complex Variables and Analytic Spaces.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12198
650 2 4 _aAlgebraic Geometry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11019
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319100890
776 0 8 _iPrinted edition:
_z9783319100876
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2125
856 4 0 _uhttps://doi.org/10.1007/978-3-319-10088-3
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-LNM
942 _cEBK
999 _c58517
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