Timeline for What does primary mean geometrically?
Current License: CC BY-SA 2.5
3 events
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| Apr 25 at 7:43 | comment | added | Elías Guisado Villalgordo | Quoting Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, §3.8, p. 105: “$I=(x)\cap (x,y)^2$ corresponds to the vertical line plus the first-order infinitesimal neighborhood of $(0,0)$. Here primary decomposition is not unique, and we could also write $I=(x)\cap(x^2,y)$, corresponding to the fact that the only information about a function $f$ that is available on the first-order infinitesimal neighborhood of the origin but not on the vertical line is the derivative of the function in the horizontal direction.” | |
| Jan 28, 2010 at 13:11 | comment | added | Harry Gindi | This answer is better than mine for what the op wanted, but if the op does want to gain some commutative algebra intuition for it, I still suggest he reads my post. =) | |
| Jan 28, 2010 at 13:02 | history | answered | Cam McLeman | CC BY-SA 2.5 |