二阶Calabi-Yau算子

Pub Date : 2023-10-10 DOI:10.1007/s10801-023-01272-0

Gert Almkvist, Duco van Straten

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引用次数: 1

摘要

摘要我们证明了二阶四阶算子的Calabi-Yau条件的解定义了一个由十个不可约分量组成的变量。这些可以用参数形式完全描述，但只有两个分量似乎允许有算术上有趣的运算符。我们包括69个本质上不同的四阶二阶Calabi-Yau算子的描述，这些算子是我们目前已知的。

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Calabi–Yau operators of degree two

Abstract We show that the solutions to the equations, defining the so-called Calabi–Yau condition for fourth-order operators of degree two, define a variety that consists of ten irreducible components. These can be described completely in parametric form, but only two of the components seem to admit arithmetically interesting operators. We include a description of the 69 essentially distinct fourth-order Calabi–Yau operators of degree two that are presently known to us.

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