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The quadratic Euler characteristic of a smooth projective same-degree complete intersection

Anna M. Viergever

Vol. 10 (2025), No. 4, 597–652
Abstract

We find an algorithm to compute the quadratic Euler characteristic of a smooth projective complete intersection of hypersurfaces of the same degree, generalizing the argument of Levine, Lehalleur and Srinivas (2024) for the hypersurface case. As an example, we compute the quadratic Euler characteristic of a smooth projective complete intersection of two generalized Fermat hypersurfaces.

Keywords
motivic homotopy theory, refined enumerative geometry, Hodge theory, other fields
Mathematical Subject Classification
Primary: 14F42
Secondary: 14C30
Milestones
Received: 20 December 2023
Revised: 7 May 2025
Accepted: 26 August 2025
Published: 5 November 2025
Authors
Anna M. Viergever
Leibniz University Hannover
Institute of Algebraic Geometry
Welfengarten 1
30167 Hannover
Germany