|Title:||Kummer's quartic surface associated to the Clebsch top (Symmetry and Singularity of Geometric Structures and Differential Equations)|
|Author's alias:||多羅間, 大輔|
|Abstract:||This note deals with the Kummer surface associated to the Clebsch top with Weber's condition. The Clebsch top is an integrable system describing the rotational motion of a rigid body in an ideal fluid, under special conditions. When restricted to a specific symplectic leaf, given through the so-called Weber condition, there is an associated Kummer surface given as a quartic algebraic surface in CP3 with 16 double points. The explicit conditions of these singular points are given by theoretical computations and are verified by numerical computation through Grabner bases.|
|Appears in Collections:||2137 Symmetry and Singularity of Geometric Structures and Differential Equations|
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