On the Chow ring of certain Fano fourfolds

[1] Beauville, Arnaud. “On the splitting of the Bloch-Beilinson filtration. In Algebraic cycles and motives. Vol. 2.”, Vol. 344 of London Math. Soc. Lecture Note Ser. Cambridge: Cambridge Univ. Press, 2007. Cited on 43.10.1017/CBO9781107325968.004Search in Google Scholar

[2] Beauville, Arnaud, and Claire Voisin “On the Chow ring of a K3 surface.” J. Algebraic Geom. 13, no. 3 (2004): 417-426. Cited on 40 and 44.10.1090/S1056-3911-04-00341-8Search in Google Scholar

[3] Deligne, Pierre. “Théorème de Lefschetz et critères de dégénérescence de suites spectrales.” Inst. Hautes Études Sci. Publ. Math. 35 (1968): 259-278. Cited on 49.10.1007/BF02698925Search in Google Scholar

[4] Deninger, Christopher, and Jacob Murre. “Motivic decomposition of abelian schemes and the Fourier transform.” J. Reine Angew. Math. 422 (1991): 201-219. Cited on 49.10.1515/crll.1991.422.201Search in Google Scholar

[5] Fatighenti, Enrico, and Giovanni Mongardi. “Fano varieties of K3 type and IHS manifolds.” arXiv (2019): 1904.05679. Cited on 39, 40, 41 and 42.Search in Google Scholar

[6] Fu, Lie, Robert Laterveer, and Charles Vial. “The generalized Franchetta conjecture for some hyper-Kähler varieties.” J. Math. Pures Appl. (9) 130 (2019): 1-35. Cited on 47.10.1016/j.matpur.2019.01.018Search in Google Scholar

[7] Fu, Lie, Zhiyu Tian, and Charles Vial. “Motivic hyper-Kähler resolution conjecture, I: generalized Kummer varieties.” Geom. Topol. 23, no. 1 (2019): 427-492. Cited on 43, 49 and 50.10.2140/gt.2019.23.427Search in Google Scholar

[8] Fu, Lie, and Charles Vial. “Distinguished cycles on varieties with motive of abelian type and the Section Property”, arXiv (2017): 1709.05644v2. Cited on 43.Search in Google Scholar

[9] Laterveer, Robert. “Algebraic cycles on some special hyperkähler varieties.” Rend. Mat. Appl. (7) 38, no. 2 (2017): 243-276. Cited on 49.Search in Google Scholar

[10] Laterveer, Robert. “A remark on the Chow ring of Küchle fourfolds of type d3.” Bull. Aust. Math. Soc. 100, no. 3 (2019): 410-418. Cited on 39.10.1017/S0004972719000273Search in Google Scholar

[11] Laterveer, Robert. “Algebraic cycles and Verra fourfolds.” Tohoku Math. J. (to appear) Cited on 39.Search in Google Scholar

[12] Laterveer, Robert. “On the Chow ring of Fano varieties of type S2.” preprint. Cited on 39.Search in Google Scholar

[13] Laterveer, Robert and Charles Vial. “On the Chow ring of Cynk–Hulek Calabi–Yau varieties and Schreieder varieties.” Canadian Journal of Math. DOI: 10.4153/S0008414X19000191. Cited on 43.10.4153/S0008414X19000191Search in Google Scholar

[14] Murre, Jacob P. “On a conjectural filtration on the Chow groups of an algebraic variety I and II. Indag. Math. (N.S.) 4, no. 2 (1993): 177-201. Cited on 42.10.1016/0019-3577(93)90039-2Search in Google Scholar

[15] Murre, Jacob P., Jan Nagel, and Chris A.M. Peters. Lectures on the theory of pure motives. Providence, RI: American Mathematical Society, 2013. Cited on 40, 42 and 45.10.1090/ulect/061Search in Google Scholar

[16] Pavic, Nebojsa, Junliang Shen, and Qizheng Yin. “On O’Grady’s generalized Franchetta conjecture.” Int. Math. Res. Not. IMRN 2017, no. 16 (2017): 4971-4983. Cited on 46 and 47.Search in Google Scholar

[17] Scholl, Anthony J. “Classical motives.” In Vol. 55 of Proc. Sympos. Pure Math., 163–187. Providence, RI: Amer. Math. Soc., 1994. Cited on 40 and 49.10.1090/pspum/055.1/1265529Search in Google Scholar

[18] Shen, Mingmin, and Charles Vial. “The Fourier transform for certain hyperkähler fourfolds.” Mem. Amer. Math. Soc. 240 (2016): no. 1139. Cited on 39, 42, 43 and 44.10.1090/memo/1139Search in Google Scholar

[19] Shen, Mingmin, and Charles Vial. “The motive of the Hilbert cube X^[3].” Forum Math. Sigma 4 (2016): e30. Cited on 43, 48 and 49.10.1017/fms.2016.25Search in Google Scholar

[20] Vial, Charles. “On the motive of some hyperKähler varieties.” J. Reine Angew. Math. 725 (2017): 235-247. Cited on 43, 49 and 50.10.1515/crelle-2015-0008Search in Google Scholar

[21] Voisin, Claire. “Chow rings and decomposition theorems for families of K3 surfaces and Calabi-Yau hypersurfaces.” Geom. Topol. 16, no. 1 (2012): 433-473. Cited on 49 and 50.10.2140/gt.2012.16.433Search in Google Scholar

[22] Voisin, Claire. Chow rings, decomposition of the diagonal, and the topology of families. Vol. 187 of Annals of Mathematics Studies. Princeton, NJ: Princeton University Press, 2014. Cited on 47 and 49.Search in Google Scholar