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Stable cohomology of the universal degree $d$ hypersurface in $\mathbb{P}^n$

Ishan Banerjee

Algebraic & Geometric Topology 23 (2023) 3071–3088
Abstract

We consider the universal hypersurface of degree d in n and compute its stable cohomology (with respect to d). We describe the stable classes geometrically.

Keywords
homological stability, discriminants, parameter space, hypersurfaces
Mathematical Subject Classification
Primary: 14F25, 14J70, 55R80
References
Publication
Received: 22 May 2021
Revised: 11 February 2022
Accepted: 26 February 2022
Published: 26 September 2023
Authors
Ishan Banerjee
Department of Mathematics
University of Chicago
Chicago, IL
United States

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