# 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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