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ag.algebraic geometry – Are weighted projective areas gash out by quadrics? retort

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ag.algebraic geometry – Are weighted projective areas gash out by quadrics?

Let $X=mathbb{P}(a_0,ldots, a_n)$ breathe a well-formed weighted projective area, and let $a=mathrm{lcm}(a_0,ldots,a_n)$. Then $mathcal{O}(a)$ embeds $X$ in projective area $mathbb{P}^N$. Is $X$ gash out by quadrics in $mathbb{P}^N$?

As far as I can disclose, in widespread that is non-patent for knapsack downside associated causes, although it’s correct for surfaces by Koelman’s “A gauge for the model of a projectively embedded toric surface to breathe generated by quadrics”.

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