摘要翻译:
利用Cornalba和Harris方法的推广,给出了高维纤维在曲线上斜率的下界。用同样的方法,建立了偶属三角纤维斜率和一般Maroni不变量的锐利下界;特别地,这个结果证明了Harris和Stankova-Frenkel的一个猜想。
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英文标题:
《Slopes of trigonal fibred surfaces and of higher dimensional fibrations》
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作者:
Miguel A. Barja, Lidia Stoppino
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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 give lower bounds for the slope of higher dimensional fibrations over curves under conditions of GIT-semistability of the fibres, using a generalization of a method of Cornalba and Harris. With the same method we establish a sharp lower bound for the slope of trigonal fibrations of even genus and general Maroni invariant; in particular this result proves a conjecture due to Harris and Stankova-Frenkel.
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PDF链接:
https://arxiv.org/pdf/0811.3305