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Talk:Deligne–Mumford stack

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84: 74: 53: 22: 597: 376: 592:{\displaystyle {\begin{aligned}\Gamma ({\mathcal {O}}(5))&=\mathbb {C} \cdot \{xy\}\\\Gamma ({\mathcal {O}}(6))&=\mathbb {C} \cdot \{x^{3},y^{2}\}\\\Gamma ({\mathcal {O}}(9))&=\mathbb {C} \cdot \{x^{3}y,y^{3}\}\end{aligned}}} 381: 140: 312: 369: 332: 641: 274:
This page should define/discuss sheaves of modules and sheaf cohomology on deligne mumford stacks. The first place to look is of course the line bundles
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https://math.stackexchange.com/questions/1799741/verifying-that-the-weighted-projective-space-bbbp-bbbq1-1-2-3-is-sin
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showing how the graded ring structure is preserved by the stack similar to standard projective schemes.
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This page needs additional material. Here is a list of links which can be used to develop this page:
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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https://faculty.missouri.edu/~edidind/Papers/rrforDMstacks.pdf
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http://math.columbia.edu/~dejong/seminar/examples-stacks.pdf
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https://link.springer.com/article/10.1007/s11425-015-4970-z
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There should be a page about Artin stacks as well...
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I think the idea is that that topic is covered in "
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https://math.stackexchange.com/questions/1799741/verifying-that-the-weighted-projective-space-bbbp-bbbq1-1-2-3-is-sin
http://math.columbia.edu/~dejong/seminar/examples-stacks.pdf
https://arxiv.org/pdf/1604.02441.pdf
https://arxiv.org/pdf/math/0003131v1.pdf
https://faculty.missouri.edu/~edidind/Papers/rrforDMstacks.pdf
https://link.springer.com/article/10.1007/s11425-015-4970-z
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05:07, 2 November 2017 (UTC)
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23:46, 3 November 2017 (UTC)
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