Zero-cycles on double EPW sextics

Laterveer R, Vial C (2021)
Communications in Contemporary Mathematics 23(04): 2050040.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Laterveer, Robert; Vial, CharlesUniBi
Abstract / Bemerkung
The Chow rings of hyperKahler varieties are conjectured to have a particularly rich structure. In this paper, we focus on the locally complete family of double EPW sextics and establish some properties of their Chow rings. First, we prove a Beauville-Voisin type theorem for zero-cycles on double EPW sextics; precisely, we show that the codimension-4 part of the subring of the Chow ring of a double EPW sextic generated by divisors, the Chern classes and codimension-2 cycles invariant under the anti-symplectic covering involution has rank one. Second, for double EPW sextics birational to the Hilbert square of a K3 surface, we show that the action of the anti-symplectic involution on the Chow group of zero-cycles commutes with the Fourier decomposition of Shen-Vial.
Stichworte
Algebraic cycles; Chow groups; motives; hyperKä hler varieties; double EPW sextics; anti-symplectic involution; Bloch conjecture; Beauville “ splitting property” conjecture
Erscheinungsjahr
2021
Zeitschriftentitel
Communications in Contemporary Mathematics
Band
23
Ausgabe
04
Art.-Nr.
2050040
ISSN
0219-1997
eISSN
1793-6683
Page URI
https://pub.uni-bielefeld.de/record/2955098

Zitieren

Laterveer R, Vial C. Zero-cycles on double EPW sextics. Communications in Contemporary Mathematics. 2021;23(04): 2050040.
Laterveer, R., & Vial, C. (2021). Zero-cycles on double EPW sextics. Communications in Contemporary Mathematics, 23(04), 2050040. https://doi.org/10.1142/S0219199720500406
Laterveer, R., and Vial, C. (2021). Zero-cycles on double EPW sextics. Communications in Contemporary Mathematics 23:2050040.
Laterveer, R., & Vial, C., 2021. Zero-cycles on double EPW sextics. Communications in Contemporary Mathematics, 23(04): 2050040.
R. Laterveer and C. Vial, “Zero-cycles on double EPW sextics”, Communications in Contemporary Mathematics, vol. 23, 2021, : 2050040.
Laterveer, R., Vial, C.: Zero-cycles on double EPW sextics. Communications in Contemporary Mathematics. 23, : 2050040 (2021).
Laterveer, Robert, and Vial, Charles. “Zero-cycles on double EPW sextics”. Communications in Contemporary Mathematics 23.04 (2021): 2050040.

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