We prove Bloch's formula for the Chow group of 0-cycles with modulus on a smooth quasi-projective surface over a field. We use this formula to give a simple proof of the rank one case of a conjecture of Deligne and Drinfeld on lisse (Q) over bar (l)-sheaves. This was originally solved by Kerz and Saito in characteristic not equal 2.
Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory / F. Binda, A. Krishna, S. Saito. - In: JOURNAL OF ALGEBRAIC GEOMETRY. - ISSN 1056-3911. - 32:2(2023), pp. 323-384. [10.1090/jag/792]
Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory
F. Binda
Primo
;
2023
Abstract
We prove Bloch's formula for the Chow group of 0-cycles with modulus on a smooth quasi-projective surface over a field. We use this formula to give a simple proof of the rank one case of a conjecture of Deligne and Drinfeld on lisse (Q) over bar (l)-sheaves. This was originally solved by Kerz and Saito in characteristic not equal 2.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
S1056-3911-2022-00792-6.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
688.62 kB
Formato
Adobe PDF
|
688.62 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
BKS_Deligne.pdf
accesso aperto
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
612.28 kB
Formato
Adobe PDF
|
612.28 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
