摘要翻译:
研究了中心纤维为线性自由因子的纤维上的线性函数。我们分析了与这些函数相关的Gauss-Manin系统,并证明了一个本原齐次形式的存在性。因此,我们证明了这类函数的半泛展开的基空间具有Frobenius流形结构。
---
英文标题:
《Linear free divisors and Frobenius manifolds》
---
作者:
Ignacio de Gregorio, David Mond, Christian Sevenheck
---
最新提交年份:
2009
---
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
--
---
英文摘要:
We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauss-Manin system associated to these functions, and prove the existence of a primitive and homogenous form. As a consequence, we show that the base space of the semi-universal unfolding of such a function carries a Frobenius manifold structure.
---
PDF链接:
https://arxiv.org/pdf/0802.4188