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Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society)

Author: 


ISBN-13: 

9780821839423


ISBN: 

082183942X


Pub Date: 
Publisher:  American Mathematical Society
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 082183942X. One Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society) textbook is available for sale on ValoreBooks.com, or buy new starting at $108.15.
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Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society)

ISBN-13: 9780821839423


ISBN: 082183942X


Pub Date:
Publisher: American Mathematical Society
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