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Mixed Twistor D-modules
Language: en
Pages: 497
Authors: Takuro Mochizuki
Categories: Mathematics
Type: BOOK - Published: 2015-08-19 - Publisher: Springer

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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
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1
Language: en
Pages: 344
Authors: Takuro Mochizuki
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an i
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 2
Language: en
Pages: 262
Authors: Takuro Mochizuki
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an i
Perfectoid Spaces
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Type: BOOK - Published: 2022-02-04 - Publisher: American Mathematical Society

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Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have been used to solve man
From Hodge Theory to Integrability and TQFT
Language: en
Pages: 314
Authors: Ron Donagi
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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"Ideas from quantum field theory and string theory have had an enormous impact on geometry over the last two decades. One extremely fruitful source of new mathe