References
- Abramovich, D., Wang, J. (1997). Equivariant resolution of singularities in characteristic 0. Math. Res. Lett. 4(3):427–433. DOI: 10.4310/MRL.1997.v4.n3.a11.
- Alexeev, V. (1994). General elephants of Q-Fano 3-folds. Compositio Math. 91(1):91–116.
- Beauville, A. (2007). p-Elementary subgroups of the Cremona group. J. Algebra. 314(2):553–564. DOI: 10.1016/j.jalgebra.2005.07.040.
- Birkar, C., Loginov, K. (2021). Bounding non-rationality of divisors on 3-fold Fano fibrations. J. Reine Angew. Math. 2021(779):167–188. DOI: 10.1515/crelle-2021-0039.
- Dolgachev, I. V., Iskovskikh, V. A. (2009). Finite subgroups of the plane Cremona group algebra, arithmetic, and geometry. In Honor of Yu. I. Manin. Vol. I, Vol. 269 of Progr. Math. Boston, MA: Birkhäuser Boston Inc., p. 443–548.
- Haution, O. (2019). Fixed point theorems involving numerical invariants. Compos. Math. 155(2):260–288. DOI: 10.1112/S0010437X18007911.
- Kawakita, M. (2006). Inversion of adjunction on log canonicity. Invent. Math. 167(1):129–133. DOI: 10.1007/s00222-006-0008-z.
- Kollár, J., Mori, S. (1998). Birational geometry of algebraic varieties, with the collabration of C. H. Clemens and A. Corti. Translated from the 1998 Japanese original. In Cambridge Tracts in Mathematics, vol. 134. Cambridge: Cambridge University Press.
- Kuznetsova, A. A. (2020). Finite 3-subgroups in the Cremona Group of Rank 3. Math. Notes. 108(5-6):697–715. DOI: 10.1134/S0001434620110085.
- Nikulin, V. V. (1980). Finite automorphism groups of Kähler K3 surfaces. Trans. Mosc. Math. Soc. 2:71–135.
- Popov, V. L. (2014). Jordan groups and automorphism groups of algebraic varieties. In Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, 2012. Cham: Springer, pp. 185–213.
- Prokhorov, Y. (2011). Simple finite subgroups of the Cremona group of rank 3. J. Algebraic Geom. 21(3):563–600. DOI: 10.1090/S1056-3911-2011-00586-9.
- Prokhorov, Y. (2011). p-elementary subgroups of the Cremona group of rank 3. In Classification of Algebraic Varieties, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, p. 327–338.
- Prokhorov, Y. (2014). 2-elementary subgroups of the space Cremona group. In Automorphisms in Birational and Affine Geometry, Volume 79 of Springer Proc. Math. Stat. Springer, Cham, p. 215–229.
- Prokhorov, Y., Shramov, C. (2016). Jordan property for Cremona groups. Am. J. Math. 138(2):403–418. DOI: 10.1353/ajm.2016.0017.
- Prokhorov, Y., Shramov, C. (2018). p-subgroups in the space Cremona group. Math. Nachr. 291(8-9):1374–1389. DOI: 10.1002/mana.201700030.
- Reid, M. (1985). Young person’s guide to canonical singularities. Proceedings of symposia in pure mathematics, Vol. 46, 345–414
- Serre, J.-P. (2009). A Minkowski-style bound for the orders of the finite subgroups of the Cremona group of rank 2 over an arbitrary field. Mosc. Math. J. 9(1):193–208.
- Xu, J. (2018). Finite p-groups of birational automorphisms and characterizations of rational varieties. arXiv 1809.09506.
- Xu, J. (2020). A remark on the rank of finite p-groups of birational automorphisms. Comptes Rendus Math. 358(7):827–829. DOI: 10.5802/crmath.93.