Geodesic
ON THE CHOW RING OF CERTAIN LEHN–LEHN–SORGER–VAN STRATEN EIGHTFOLDS
Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 253-276

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DOI

We consider a 10-dimensional family of Lehn–Lehn–Sorger–van Straten hyperkähler eightfolds, which have a non-symplectic automorphism of order 3. Using the theory of finite-dimensional motives, we show that the action of this automorphism on the Chow group of 0-cycles is as predicted by the Bloch–Beilinson conjectures. We prove a similar statement for the anti-symplectic involution on varieties in this family. This has interesting consequences for the intersection product of the Chow ring of these varieties. 
CAMERE, CHIARA; CATTANEO, ALBERTO; LATERVEER, ROBERT. ON THE CHOW RING OF CERTAIN LEHN–LEHN–SORGER–VAN STRATEN EIGHTFOLDS. Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 253-276. doi: 10.1017/S0017089521000069
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     author = {CAMERE, CHIARA and CATTANEO, ALBERTO and LATERVEER, ROBERT},
     title = {ON {THE} {CHOW} {RING} {OF} {CERTAIN} {LEHN{\textendash}LEHN{\textendash}SORGER{\textendash}VAN} {STRATEN} {EIGHTFOLDS}},
     journal = {Glasgow mathematical journal},
     pages = {253--276},
     year = {2022},
     volume = {64},
     number = {2},
     doi = {10.1017/S0017089521000069},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000069/}
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