Fourier-Sato Transform on Hyperplane Arrangements

Michael Finkelberg; Mikhail Kapranov; Vadim Schechtman

doi:10.1007/978-3-030-82007-7_4

Fourier-Sato Transform on Hyperplane Arrangements

Michael Finkelberg^*
, Mikhail Kapranov
, Vadim Schechtman

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The theory of perverse sheaves can be said to provide an interpolation between homology and cohomology (or to mix them in a self-dual way). Since homology, sheaf-theoretically, can be understood as cohomology with compact support, interesting operations on perverse sheaves usually combine the functors of the types f_! and f_∗ or, dually, the functors of the types f^! and f^∗ in the classical formalism of Grothendieck.

Original language	English
Title of host publication	Representation Theory and Algebraic Geometry
Subtitle of host publication	A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	87-131
Number of pages	45
DOIs	https://doi.org/10.1007/978-3-030-82007-7_4
State	Published - 2022
Externally published	Yes

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Bibliographical note

Publisher Copyright:
© 2022, Springer Nature Switzerland AG.

Access to Document

10.1007/978-3-030-82007-7_4

Cite this

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Fourier-Sato Transform on Hyperplane Arrangements. / Finkelberg, Michael; Kapranov, Mikhail; Schechtman, Vadim.
Representation Theory and Algebraic Geometry: A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg. Springer Science and Business Media Deutschland GmbH, 2022. p. 87-131 (Trends in Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Fourier-Sato Transform on Hyperplane Arrangements

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