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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
The six Grothendieck operations on o-minimal sheaves

Participants in the publication
Mário J. Edmundo (Author)
Dep. Matemática
CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
Luca Prelli (Author)

Scope
International

Refereeing
Yes

Summary
In this paper we develop the formalism of the Grothendieck six operations on o-minimal sheaves. The Grothendieck formalism allows us to obtain o-minimal versions of: (i) derived projection formula; (ii) universal coefficient formula; (iii) derived base change formula; (iv) Künneth formula; (v) local and global Verdier duality.

Date of Submisson/Request
2016-07-14
Date of Acceptance
2019-01-24
Date of Publication
2019-04-01

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Mathematische Zeitschrift

Publication Identifiers
ISSN - 0025-5874,1432-1823

Publisher
Springer Science and Business Media LLC

Volume
294
Number
1-2

Number of pages
51
Starting page
109
Last page
160

Document Identifiers
DOI - https://doi.org/10.1007/s00209-019-02274-0
URL - http://dx.doi.org/10.1007/s00209-019-02274-0
ISBN - 0025-5874

Rankings
SCIMAGO Q1 (2019) - 1.65 - Mathematics

Keywords
o-Minimal structures Proper direct image Sheaves Cohomology Semi-algebraic Globally sub-analytic


Export

APA
Mário J. Edmundo, Luca Prelli, (2019). The six Grothendieck operations on o-minimal sheaves. Mathematische Zeitschrift, 294, 109-160. ISSN 0025-5874,1432-1823. eISSN . http://dx.doi.org/10.1007/s00209-019-02274-0

IEEE
Mário J. Edmundo, Luca Prelli, "The six Grothendieck operations on o-minimal sheaves" in Mathematische Zeitschrift, vol. 294, pp. 109-160, 2019. 10.1007/s00209-019-02274-0

BIBTEX
@article{46658, author = {Mário J. Edmundo and Luca Prelli}, title = {The six Grothendieck operations on o-minimal sheaves}, journal = {Mathematische Zeitschrift}, year = 2019, pages = {109-160}, volume = 294 }