Milnor numbers in deformations of homogeneous singularities

2014/04/30 by Brzostowski, Szymon, Krasinski, Tadeusz, Walewska, Justyna
#14B05 #32S05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.7704

Abstract

Let f₀ be a plane curve singularity. We study the Minor numbers of singularities in deformations of f₀. We completely describe the set of these Milnor numbers for homogeneous singularities f₀ in the case of non-degenerate deformations and obtain some partial results on this set in the general case.

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