摘要翻译:
证明了Behrend关于经典群主丛规范约化和约化群格式合理性的猜想,并给出了例外群的新界。然而,我们在特征2中的G2-束的情况中发现了一个反例。
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英文标题:
《Bounds for Behrend's conjecture on the canonical reduction》
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作者:
Jochen Heinloth
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We prove Behrend's conjecture on the rationality of the canonical reduction of principal bundles and reductive group schemes for classical groups and give new bounds for the conjecture for exceptional groups. However we find a counterexample in the case of G_2-bundles in characteristic 2.
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PDF链接:
https://arxiv.org/pdf/0712.0692


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