Gauss-Manin from scratch: theme, variations and fantasia

被引：1
|
作者：
Athorne, Chris [1 ]
机构：
[1] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QQ, Lanark, Scotland
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2022年 / 478卷 / 2262期
关键词：
Gauss-Manin; sigma-function; heat equation; equivariance; BIFURCATION; INTEGRALS; FAMILIES;
D O I：
10.1098/rspa.2022.0217
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We discuss the explicit construction of Gauss-Manin connections on the cohomology of families of low genus Riemann surfaces represented as curves with branch points in general position. The approach is distinguished from others by the use of an equivariant basis of differential forms.
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页数：19
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