By Eduardo Casas-Alvero

This publication presents a finished and self-contained exposition of the algebro-geometric thought of singularities of airplane curves, overlaying either its classical and its glossy facets. The ebook offers a unified remedy, with whole proofs, offering glossy effects that have merely ever seemed in study papers. It updates and properly proves a few very important classical effects for which there has been previously no appropriate reference, and contains new, formerly unpublished effects in addition to functions to algebra and algebraic geometry. This ebook may be valuable as a reference textual content for researchers within the box. it's also appropriate as a textbook for postgraduate classes on singularities, or as a supplementary textual content for classes on algebraic geometry (algebraic curves) or commutative algebra (valuations, entire ideals).

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