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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

3 votes
0 answers
149 views

Is this scheme an ind-variety?

Let $K_1\subset K_2\subset \ldots$ be a tower of number fields, with $K_n$ of degree $2^n$. Let $$X := \sqcup_{n=1}^\infty Spec \ K_n$$ This is a $\mathbb{Q}$-scheme. The structure morphism is loc …
Xiboto's user avatar
  • 283
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 $X$ …
Xiboto's user avatar
  • 283
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 …
Xiboto's user avatar
  • 283