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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
1
answer
412
views
Singularities of complete intersections of affine varieties with hypersurfaces
Let $k$ be a field of characteristic $0$ (not necessarily algebraically closed), and let $A=k[x^1,\ldots,x^m]/(f_1,\ldots,f_N)$ be an affine variety which is a complete intersection; i.e. $\dim(A)=m-N …
9
votes
4
answers
822
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Which concept of dimension of a ring of functions on a manifold, gives the dimension of the ...
Let $R$ be a ring of (smooth?) functions on a (connected?) manifold of dimension $n$. What concept of dimension (of the ring $R$) gives the dimension of the manifold? To what class of rings does this …