We present a relation between the classical Chow group of relative 0-cycles on a regular scheme X , projective and flat over an excellent Henselian discrete valuation ring, and the Levine-Weibel Chow group of 0-cycles on the special fiber. We show that these two Chow groups are isomorphic with finite coefficients under extra assumptions. This generalizes a result of Esnault, Kerz and Wittenberg.

Rigidity for relative 0-Cycles / F. Binda, A. Krishna. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 22:1(2021 Mar 30), pp. 241-267. [10.2422/2036-2145.201906_017]

Rigidity for relative 0-Cycles

F. Binda
;
2021

Abstract

We present a relation between the classical Chow group of relative 0-cycles on a regular scheme X , projective and flat over an excellent Henselian discrete valuation ring, and the Levine-Weibel Chow group of 0-cycles on the special fiber. We show that these two Chow groups are isomorphic with finite coefficients under extra assumptions. This generalizes a result of Esnault, Kerz and Wittenberg.
Mathematics - Algebraic Geometry; Mathematics - Algebraic Geometry; 14C25 (Primary), 13F35, 14F30, 19E15 (Secondary)
Settore MAT/03 - Geometria
30-mar-2021
Article (author)
File in questo prodotto:
File Dimensione Formato  
rigidity.pdf

accesso aperto

Tipologia: Pre-print (manoscritto inviato all'editore)
Dimensione 330.1 kB
Formato Adobe PDF
330.1 kB Adobe PDF Visualizza/Apri
780-Article Text-1065-1-10-20210330.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Dimensione 931.28 kB
Formato Adobe PDF
931.28 kB Adobe PDF Visualizza/Apri
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: https://hdl.handle.net/2434/648985
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact