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math.AG2015★ 23 cited
The Schwartz space of a smooth semi-algebraic stack
Yiannis Sakellaridis
Schwartz functions, or measures, are defined on any smooth semi-algebraic ("Nash") manifold, and are known to form a cosheaf for the semi-algebraic restricted topology. We extend t…
math.AG2014★ 44 cited
On the formal arc space of a reductive monoid
Alexis Bouthier, Ngo Bao Chau, Yiannis Sakellaridis
Let be a scheme of finite type over a finite field , and let denote its arc space; in particular, . Using the theory of Grinberg,…