5103072

9780821839423

Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society)
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society)
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  • ISBN-13: 9780821839423
  • ISBN: 082183942X
  • Publication Date:
  • Publisher: American Mathematical Society

AUTHOR

SUMMARY

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 increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As another application, the author establishes the correspondence of semisimple regularholonomic $D$-modules and polarizable pure imaginary pure twistor $D$-modules through tame pure imaginary harmonic bundles, which is a conjecture of C. Sabbah. Then the regular holonomic version of M. Kashiwara's conjecture follows from the results of Sabbah and the author.Takuro Mochizuki is the author of 'Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society)', published 2006 under ISBN 9780821839423 and ISBN 082183942X.

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