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Results tagged with ag.algebraic-geometry
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user 106706
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
1
answer
460
views
Is completion of isolated singularity isolated?
Let $K$ be an algebraically closed field and let $A=K[x_1,\dots,x_n]/I$ be a $K$-algebra of finite type which has only an isolated singularity at the origin. Let $\mathfrak{m}=(x_1,\dots,x_n)$ and con …
- 411
4
votes
Equations for points to lie on a rational normal curve
I would like to suggest the following paper, where my coauthors and I try to give a partial answer to this question
https://arxiv.org/abs/1711.06286
Roughly speaking, the idea is to use the Gale tr …
- 411
4
votes
Usage of étale cohomology in algebraic geometry
Another interesting (at least to me) application of étale cohomology is the following. The étale cohomological dimension of the complement of a variety $V$ gives a lower bound on the arithmetical rank …
- 411
8
votes
1
answer
260
views
Class group of hypersurfaces of finite representation type
Let $k$ be an algebraically closed field of characteristic different from $2,3$ and $5$, and let $R=k[[x,y,x_2,\dots,x_d]]/(f)$, where $f\in(x,y,x_2,\dots,x_d)^2$, $f\neq0$. By results of Buchweitz-Gr …
- 411