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  "body": "\n## Summary\n\nThe germ of an analytic set at a point $a$ records the shape of a [[complex analytic variety|GB7M582M5Y]] arbitrarily close to $a$.\nIt forgets the rest of the set.\nTwo analytic sets have the same germ at $a$ when they coincide on some neighbourhood of $a$.\nGerms of analytic sets at $a$ correspond to radical ideals of the ring of [[germs of holomorphic functions|7PJ8KVZZCQ]] at $a$.\nThis makes local analytic geometry a branch of commutative algebra.\n\n## Explanations\n\n### L1 human\n\nZoom in on an analytic set at one point and keep only what is visible at every scale.\nFor instance, the curve $\\set{z_2^2 = z_1^2(1 + z_1)}$ in $\\C^2$ is connected and irreducible as a whole, but its germ at the origin looks like two smooth branches crossing.\nFar away points, such as other components of the set, do not affect the germ.\n",
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