The kernel of an isogeny is a specific set of points on an elliptic curve (or more generally, on an abelian variety) that maps to the identity element under the isogeny. This kernel is crucial for understanding the structure of the isogeny itself, as it reflects the symmetries and properties of the elliptic curve or abelian variety involved. It plays a significant role in determining the degree of the isogeny and reveals important information about the relationship between different curves or varieties.
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