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Results tagged with ag.algebraic-geometry
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user 104728
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
1
answer
379
views
Are weighted projective spaces cut out by quadrics?
Let $X=\mathbb{P}(a_0,\ldots, a_n)$ be a well-formed weighted projective space, and let $a=\mathrm{lcm}(a_0,\ldots,a_n)$. Then $\mathcal{O}(a)$ embeds $X$ in projective space $\mathbb{P}^N$.
Question …
7
votes
Accepted
Objects with trivial automorphism group
No. An example of a non-trivial family would occur with $S=\mathbb{A}^1\setminus\{0,1\}$ and $X_s$ given by $\mathbb{P}^1$ marked at the points $(0,1,\infty,s)$. I think the issue you run into is basi …
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