Resolution of singularities and modular Galois theory

Abhyankar, Shreeram

doi:10.1090/S0273-0979-00-00892-2

Resolution of singularities and modular Galois theory
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Abstract:

I shall sketch a brief history of the desingularization problem from Riemann thru Zariski to Hironaka, including the part I played in it and the work on Galois theory which this led me to, and how that caused me to search out many group theory gurus. I shall also formulate several conjectures and suggest numerous thesis problems.

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