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February 26, 2026Journal of the Institute of Mathematics of JussieuOpen Access

COMPACTLY SUPPORTED A¹-EULER CHARACTERISTICS OF SYMMETRIC POWERS OF CELLULAR VARIETIES

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Authors

JPJesse PajwaniHRHerman RohrbachAVAnna M. Viergever

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Overview

Demonstrates the impact of power structures on the algebraic properties of varieties, including elliptic curves and other symmetrisable forms.

Key Points

  • To investigate the compactly supported a^1-euler characteristic concerning power structures in varieties.
  • Defined the class of symmetrisable varieties respecting power structures.
  • Studied the subring K_0(Sym_k) of symmetrisable varieties.
  • Showed inclusion of all cellular varieties in K_0(Sym_k).
  • Included linear varieties and non-linear varieties like elliptic curves.
  • Computed the a^1-euler characteristics of symmetric powers of Grassmannians and del Pezzo surfaces.

Cite This Study

Pajwani et al. (2026) studied this question.

synapsesocial.com/papers/699f95ba1bc9fecf3dab3c7bhttps://doi.org/10.1017/s1474748025101576
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