PreprintarXiv licencearXiv
Collisions of Nilpotent Higgs Fields
Abstract
We prove the non-characteristicness of the completed self-sum of the universal nilpotent cone in T*BunG relative to the moduli of curves, for reductive groups G of semi-simple rank $1$. In particular, this implies the non-characteristicness of the ℋom-sheaf between Betti automorphic sheaves for groups of semi-simple rank $1$. We also construct an example of a collision of universal nilpotent Higgs fields, proving that the completed self-sum is not non-characteristic for GLn, n≥ 3, relative to the moduli of curves of genus g≥ 4.
Related
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BibTeX
@misc{kjærsgaard2026collisions,
title = {{Collisions of Nilpotent Higgs Fields}},
author = {Marius Kjærsgaard},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17147},
eprint = {2610.17147},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17147},
}
RIS
TY - UNPB
TI - Collisions of Nilpotent Higgs Fields
AU - Marius Kjærsgaard
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.17147
UR - https://arxiv.org/abs/2610.17147
AB - We prove the non-characteristicness of the completed self-sum of the universal nilpotent cone in T^*Bun_G relative to the moduli of curves, for reductive groups G of semi-simple rank $1$. In particular, this implies the non-characteristicness of the ℋom-sheaf between Betti automorphic sheaves for groups of semi-simple rank $1$. We also construct an example of a collision of universal nilpotent Higgs fields, proving that the completed self-sum is not non-characteristic for GL_n, n≥ 3, relative to the moduli of curves of genus g≥ 4.
ER -