Forty Questions on Singularities of Algebraic Varieties*
نویسندگان
چکیده
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.
منابع مشابه
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The aim of this paper is to study the behavior of Hodge-theoretic (intersection homology) genera and their associated characteristic classes under proper morphisms of complex algebraic varieties. We obtain formulae that relate (parametrized families of) global invariants of a complex algebraic variety X to such invariants of singularities of proper algebraic maps defined on X . Such formulae se...
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The aim of this paper is to study the behavior of intersection homology genera and their associated characteristic classes under morphisms of projective algebraic varieties. We obtain formulae that relate (parametrized families of) global invariants of a projective variety X to such invariants of singularities of proper algebraic maps defined on X . Such formulae severely constrain, both topolo...
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Acknowledgements The greatest thanks must go to my supervisor Daniel Chan. Daniel was on leave for 6 months this year, yet he nonetheless committed a lot of time to helping me. His enthusiasm and intelligence is very inspiring. Thanks also to my dear parents, who have supported me all the way through university. Thanks to everyone in the honours room! I appreciated sharing Wirkunggeschicte with...
متن کاملde Matematica, 1973, 321–327. [5] Chern Classes for Singular Algebraic Varieties, Annals of Math 100 (1974), 423–432. [6] Les Classes Caractéristiques et le Théorème de Riemann-Roch pour les Variétiés Singulières,
[1] Fourier Analysis of Uniform Random Number Generators, with R. R. Coveyou, J. Assoc. Comp. Mach. 14 (1967), 100–119. [2] Singularities of Vector Bundle Maps, Proceedings of Liverpool Singularities Symposium I, Springer Lect. Notes in Math. (1971), 316–318. [3] Generic Vector Bundle Maps, Dynamical Systems, M. Peixoto, ed., Academic Press, 1973, 165–327. [4] Characteristic Classes for Singula...
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