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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 …
Joakim Arnlind's user avatar
9 votes
4 answers
822 views

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 …
Joakim Arnlind's user avatar