9 citations · 41 across the 15 of their papers we have counts for
4 papers · 2 filters
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…
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…
An effective criterion for algebraic contractibility of rational curves
Pinaki Mondal
Let f: Y -> CP^2 be a birational morphism of non-singular (rational) surfaces. We give an effective (necessary and sufficient) criterion for algebraicity of the surfaces resulting…