‎we consider the uniqueness problem of algebroid functions‎ ‎on an angular domain‎. ‎several theorems are established to extend the uniqueness theory of meromorphic functions to algebroid functions‎.

‎We consider the uniqueness problem of algebroid functions‎ ‎on an angular domain‎. ‎Several theorems are established to extend the uniqueness theory of meromorphic functions to algebroid functions‎.

In this paper, we first obtain Xiong inequality of algebroid function on annuli and using this result we prove uniqueness theorem of algebroid functions on annuli concerning to their multiple values and derivative.

In this paper we consider deformations of an algebroid stack on an étale groupoid. We construct a differential graded Lie algebra (DGLA) which controls this deformation theory. In the case when the algebroid is a twisted form of functions we show that this DGLA is quasiisomorphic to the twist of the DGLA of Hochschild cochains on the algebra of functions on the groupoid by the characteristic cl...