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math.AC2014★ 3 cited
Local zero estimates and effective division in rings of algebraic power series
Guillaume Rond
We give a necessary condition for algebraicity of finite modules over the ring of formal power series. This condition is given in terms of local zero estimates. In fact we show tha…
math.AG2014
Local topological algebraicity of analytic function germs
Marcin Bilski, Adam Parusinski, Guillaume Rond
T. Mostowski showed that every (real or complex) germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that every (real or complex) analyti…