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Results tagged with compactifications
Search options questions only
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user 259
9
votes
1
answer
722
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Compactifications of varieties with small complement
Let $X$ be a smooth variety over an algebraically closed field $k$. If it makes things easier, $X$ may be assumed to be quasi-projective. By Nagata (or quasi-projectivity) there exists a proper variet …
- 22.6k
7
votes
0
answers
480
views
Alterations of regular varieties
Let $X$ be a regular quasi-projective variety over a perfect field $k$. The existence of a "good compactification" of $X$, i.e. a regular projective variety $\bar{X}$ with an embedding $X\hookrightarr …
- 4,450