摘要翻译:
Segre族的理想是由不定项的泛型超矩阵的2-子生成的。我们将这一结果推广到Segre-Veronese变体的情形。主要工具是弱泛型超矩阵的概念,它还允许我们处理从一组泛型点投影Veronese曲面和从余维数为2的Cohen-Macaulay子簇投影Veronese变体的情形。
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英文标题:
《Ideals of varieties parameterized by certain symmetric tensors》
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作者:
Alessandra Bernardi
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最新提交年份:
2007
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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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一级分类:Mathematics 数学
二级分类:Commutative Algebra 交换代数
分类描述:Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环,模,理想,同调代数,计算方面,不变理论,与代数几何和组合学的联系
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英文摘要:
The ideal of a Segre variety is generated by the 2-minors of a generic hypermatrix of indeterminates. We extend this result to the case of Segre-Veronese varieties. The main tool is the concept of weak generic hypermatrix which allows us to treat also the case of projection of Veronese surfaces from a set of generic points and of Veronese varieties from a Cohen-Macaulay subvariety of codimension 2.
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PDF链接:
https://arxiv.org/pdf/0705.1942