Special cycles for Shtukas are closed
Zhiwei Yun

TL;DR
This paper provides a new proof that certain maps between moduli stacks of Shtukas are schematic, finite, and unramified, facilitating the definition of special cycles on these stacks.
Contribution
It offers an alternative proof of Breutmann's theorem, establishing key properties of maps between moduli stacks of Shtukas for Bruhat-Tits group schemes.
Findings
The induced map on the moduli of Shtukas is schematic.
The map is finite and unramified.
This result allows defining special cycles on the moduli stack of Shtukas.
Abstract
In this paper we give a different proof of a theorem of Paul Breutmann: for a Bruhat-Tits group scheme over a smooth projective curve and a closed embedding into another smooth affine group scheme , the induced map on the moduli of Shtukas is schematic, finite and unramified. This result enables one to define special cycles on the moduli stack of Shtukas.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics
