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JRG
  • Member for 14 years, 10 months
  • Last seen more than 1 year ago
  • Philadelphia, PA
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Is there an analogue of mathscinet for physics?
Not exactly the same, but for high-energy physics there is spires: slac.stanford.edu/spires
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Constructing affine hypersurfaces with one singularity
His condition that $S$ lies in a hyperplane is equivalent to the existence of a $\mathbb C^*$ action for which each monomial is of the same degree. The weights are given by the normal vector to $H$. For instance, in example 3, $(6,0,0).(1,2,3)=(1,1,1).(1,2,3)=\cdots=6$, so the exponents lie in the hyperplane $a + 2b + 3c = 6$.
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The canonical line bundle of a normal variety
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Why can't there be a general theory of nonlinear PDE?
This also brings to mind the preface (books.google.com/…) from "Lectures on Partial Differential Equations" by Arnol'd. Unfortunately the google books version cuts out after the first page, and I can't find another English version online. You can find a Russian version by googling for "Лекции об уравнениях с частными производными".
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The canonical line bundle of a normal variety
updated the links and fixed the unclear notation - thanks Artie!
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