Abstract
By a classical method due to Roitman, a complete intersection of sufficiently small degree admits a rational decomposition of the diagonal. This means that some multiple of the diagonal by a positive integer , when viewed as a cycle in the Chow group, has support in , for some divisor and a finite set of closed points . The minimal such is called the torsion order. We study lower bounds for the torsion order following the specialization method of Voisin, Colliot-Thélène, and Pirutka. We give a lower bound for the generic complete intersection with and without point. Moreover, we use methods of Kollár and Totaro to exhibit lower bounds for the very general complete intersection.
Citation
Andre Chatzistamatiou. Marc Levine. "Torsion orders of complete intersections." Algebra Number Theory 11 (8) 1779 - 1835, 2017. https://doi.org/10.2140/ant.2017.11.1779
Information