We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, and the effective slice spectral sequence. We state some projects for future study.

Motivic stable homotopy groups / D. Isaksen, P.A. Oestvaer (CRC PRESS/CHAPMAN AND HALL HANDBOOKS IN MATHEMATICS SERIES). - In: Handbook of Homotopy Theory[s.l] : Haynes Miller, 2020. - ISBN 9780815369707. - pp. 757-791 [10.1201/9781351251624]

Motivic stable homotopy groups

P.A. Oestvaer
2020

Abstract

We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, and the effective slice spectral sequence. We state some projects for future study.
Settore MAT/03 - Geometria
Book Part (author)
File in questo prodotto:
File Dimensione Formato  
1811.05729.pdf

accesso aperto

Tipologia: Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione 506.6 kB
Formato Adobe PDF
506.6 kB Adobe PDF Visualizza/Apri
10.1201_9781351251624-18_chapterpdf.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Dimensione 510.43 kB
Formato Adobe PDF
510.43 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/860143
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact