Abhyankar’s Work on Desingularization

S. B. Mulay

Chapter 8 in Algebraic Geometry and its Applications, 1994, pp 153-160 from Springer

Abstract: Abstract It is not our aim in this article to present an exhaustive account of Abhyankar’s work related to singularities. Such an account can not be given in a short article. We shall present only a modest exposition of some of the ideas that play a central role in his resolution of singularities. Even this would be lengthy and necessarily very technical if we were to discuss the desingularization of Arithmetic Surfaces, or that of solids, or the expansions related to Canonical Desingularization. Therefore, we shall restrict ourselves mainly to the case of surfaces (over an algebraically closed ground field).

Keywords: Finite Sequence; Good Point; Plane Curf; Local Equation; Algebraic Surface (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4612-2628-4_8

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