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Polarizable Twistor \(\mathcal D\)-modules
Claude Sabbah, Ecole Polytechnique, Palaiseau, France
A publication of the Société Mathématique de France.
Astérisque
2005; 208 pp; softcover
Number: 300
ISBN-10: 2-85629-174-0
ISBN-13: 978-2-85629-174-0
List Price: US$66
Individual Members: US$59.40
Order Code: AST/300
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In this book, the author proves a decomposition theorem for the direct image of an irreducible local system on a smooth complex projective variety under a morphism with values in another smooth complex projective variety. For this purpose, he constructs a category of polarized twistor \(\mathcal {D}\)-modules and shows a decomposition theorem in this category.

The book is suitable for graduate students and research mathematicians interested in geometry and topology.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in geometry and topology.

Table of Contents

  • Introduction
  • Preliminaries
  • Coherent and holonomic \(\mathcal{R}_{\mathcal{X}}\)-modules
  • Smooth twistor structures
  • Specializable \(\mathcal{R}_{\mathcal{X}}\)-modules
  • Polarizable twistor \(\mathcal {D}\)-modules
  • Polarizable regular twistor \(\mathcal {D}\)-modules on curves
  • The decomposition theorem for polarizable regular twistor \(\mathcal {D}\)-modules
  • Integrability
  • Appendix. Monodromy at infinity and partial Fourier Laplace transform
  • Bibliography
  • Notation
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