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A compactification of the stacks classifying Drinfeld’s shtukas. (Une compactification des champs classifiant les chtoucas de Drinfeld.) (French) Zbl 1045.11041
Summary: One knows that the notion of Harder-Narasimhan’s canonical polygon allows one to write the stacks classifying Drinfeld’s shtukas of rank at least $$2$$ as inductive limits of open substacks of finite type. When there is no level structure, we present here a smooth modular compactification of each such open substack, generalizing Drinfeld’s construction for rank $$2$$.

##### MSC:
 11G09 Drinfel’d modules; higher-dimensional motives, etc. 11G20 Curves over finite and local fields 14G35 Modular and Shimura varieties 11R39 Langlands-Weil conjectures, nonabelian class field theory
##### Keywords:
function fields; Drinfeld modular stacks; shtukas
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##### References:
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