9 citations · 41 across the 15 of their papers we have counts for
7 papers · 1 filter
Mori dream surfaces associated with curves with one place at infinity
Pinaki Mondal
We study a class of rational surfaces (considered in [Campillo, Piltant and Reguera, 2005]) associated to curves with one place at infinity and explicitly describe generators of th…
Normal analytic compactifications of C^2
Pinaki Mondal
This is a survey of some results on the structure and classification of normal analytic compactifications of C^2. Mirroring the existing literature, we especially emphasize the com…
Analytic compactifications of C^2 part II - one irreducible curve at infinity
Pinaki Mondal
We classify 'primitive normal compactifications' of C^2 (i.e. normal analytic surfaces containing C^2 for which the curve at infinity is irreducible), compute the moduli space of t…
How fast do polynomials grow on semialgebraic sets?
Pinaki Mondal, Tim Netzer
We study the growth of polynomials on semialgebraic sets. For this purpose we associate a graded algebra to the set, and address all kinds of questions about finite generation. We…
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…
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…