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Questions about the group of automorphisms of any mathematical object $X$ endowed with a given structure, i.e the group of all bijective maps from $X$ to itself preserving this structure, and hence helping study it further and understand it better.

18 votes
3 answers
788 views

If a variety $X$ has finite automorphism group, is the same true for its $n$-fold self-produ...

Let $X$ be an algebraic variety over $\mathbb{C}$. Let $n\geq 1$ be an integer and let $X^n$ be the $n$-fold self product of $X$. Q. Is there an integer $n\geq 1$ and an algebraic variety $X$ …
7 votes
3 answers
439 views

When do automorphisms on open subsets extend

Let $X$ be a normal affine variety of dimension at least two over $\mathbb{C}$ and let $U\subset X$ be a dense open. Assume that $\mathrm{codim}(X\setminus U) \geq 2$. I think Hartog's lemma implies …