Publications [#358017] of Kirsten G. Wickelgren

Papers Published

1. Bachmann, T; Wickelgren, K, EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS, Journal of the Institute of Mathematics of Jussieu, vol. 22 no. 2 (March, 2023), pp. 681-746 [doi]
   (last updated on 2024/04/19)

   Abstract:
   We equate various Euler classes of algebraic vector bundles, including those of [12] and one suggested by M. J. Hopkins, A. Raksit, and J.-P. Serre. We establish integrality results for this Euler class and give formulas for local indices at isolated zeros, both in terms of the six-functors formalism of coherent sheaves and as an explicit recipe in the commutative algebra of Scheja and Storch. As an application, we compute the Euler classes enriched in bilinear forms associated to arithmetic counts of d-planes on complete intersections in in terms of topological Euler numbers over and.