摘要翻译:
研究了g属曲线X的第二高斯映射与周期映射的第二基本形式的关系。给出了一类具有满射第二高斯映射的无穷多曲线。我们计算了它在超椭圆和三角轨迹上的秩,并给出了它对X不是超椭圆也不是三角的图像的全局生成。
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英文标题:
《Some results on the second Gaussian map for curves》
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作者:
Elisabetta Colombo, Paola Frediani
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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 study the second Gaussian map for a curve X of genus g, in relation with the second fundamental form of the period map. We exhibit a class of infinitely many curves with surjective second Gaussian map. We compute its rank on the hyperelliptic and trigonal locus and show global generation of its image for X not hyperelliptic nor trigonal.
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PDF链接:
https://arxiv.org/pdf/0805.3422