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September 2011 Forty questions on singularities of algebraic varieties
Herwig Hauser, Josef Schicho
Asian J. Math. 15(3): 417-436 (September 2011).


The reader will find in this article a collection of problems, questions and exercises related to the singularities of algebraic and analytic varieties. Many of them are inspired by the work and mathematical conception of Hironaka: they are concrete, involve basic ideas and techniques from geometry and algebra, and they can immediately be attacked from scratch. Some problems rely on or use results proven by Hironaka. Simple and double asterisques indicate the more difficult problems; they may potentially serve as a topic of future research.


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Herwig Hauser. Josef Schicho. "Forty questions on singularities of algebraic varieties." Asian J. Math. 15 (3) 417 - 436, September 2011.


Published: September 2011
First available in Project Euclid: 28 February 2012

zbMATH: 1243.14004
MathSciNet: MR2838214

Primary: 14B05 , 14B12 , 32S05 , 32S45

Keywords: Algebraic Geometry , analytic geometry , resolution , singularities

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 3 • September 2011
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