Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twister D-modules

Released on by Takuro Mochizuki
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  • Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twister D-modules Book Detail

  • Author : Takuro Mochizuki
  • Release Date :
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 352
  • ISBN 13 : 9780821866108
  • File Size : 57,57 MB
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Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twister D-modules by Takuro Mochizuki PDF Summary

Book Description: 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.

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