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math.AC2013★ 9 cited
How to determine the sign of a valuation on C[x,y]?
Pinaki Mondal
Given a divisorial discrete valuation 'centered at infinity' on C[x,y], we show that its sign on C[x,y] (i.e. whether it is negative or non-positive on non-constant polynomials) is…
math.AC2013
When is the intersection of two finitely generated subalgebras of a polynomial ring also finitely generated?
Pinaki Mondal
We study two variants of the following question: "Given two finitely generated subalgebras R_1, R_2 of C[x_1, \ldots, x_n], is their intersection also finitely generated?" We show…