Mixed Twistor D-modules
We 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 H...
| Published in: | Springer eBooks |
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| Main Author: | |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Lecture Notes in Mathematics,
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-10088-3 Перейти в каталог НБ ТГУ |
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| 039 | 9 | |y 201702122131 |z Александр Эльверович Гилязов | |
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| 100 | 1 | |a Mochizuki, Takuro. |e author. |9 462979 | |
| 245 | 1 | 0 | |a Mixed Twistor D-modules |h electronic resource |c by Takuro Mochizuki. |
| 250 | |a 1st ed. 2015. | ||
| 260 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. |9 742221 | ||
| 300 | |a XX, 487 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 0075-8434 ; |v 2125 | |
| 505 | 0 | |a Introduction -- 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 | |a We 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. . | ||
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| 650 | 0 | |a Functions of complex variables. |9 304502 | |
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| 650 | 2 | 4 | |a Several Complex Variables and Analytic Spaces. |9 304717 |
| 650 | 2 | 4 | |a Algebraic Geometry. |9 303686 |
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| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-10088-3 |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=412425 | ||
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