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20102026
most citedTheta functions and arithmetic quotients of loop groups

294 citations · 328 across the 36 of their papers we have counts for

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math.AG2015

Residues and duality on semi-local two-dimensional adeles

Dongwen Liu

In this note, we establish a duality result under the residue paring between certain two-dimensional adelic spaces, which are associated to a closed point on an arithmetic surface.

math.AG2012★ 2 cited

Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces

Dongwen Liu

We explicitly study Kato's residue homomorphisms in Milnor -theory, which are closely related to Contou-Carrère symbols. As applications we establish several reciprocity laws fo…