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math.AG2009★ 3 cited
On the Tropicalization of the Hilbert Scheme
Daniele Alessandrini, Michele Nesci
In this article we study the tropicalization of the Hilbert scheme and its suitability as a parameter space for tropical varieties. We prove that the points of the tropicalization…
math.AG2008★ 5 cited
On a theorem of Faltings on formal functions
Paola Bonacini, Alessio del Padrone, Michele Nesci
In 1980, Faltings proved, by deep local algebra methods, a local result regarding formal functions which has the following global geometric fact as a consequence. Theorem: Let k be…