Timeline for Newton polyhedron and product of ideals
Current License: CC BY-SA 3.0
3 events
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| May 20, 2015 at 7:59 | comment | added | Mostafa - Free Palestine | $NP(I)$ is the convex hull (in $\mathbb Q^n$) of all of the monomials in $I$. On the other hand monomials in the product of two ideals $I$ and $J$ are exactly products of a monomial in $I$ and a monomial in $J$, So its convexhull is the minkowski sum of Newton polytopes of $I$ and $J$. In particular we have: $NP(I^2J^3) = 2NP(I)+3NP(J)$. | |
| May 20, 2015 at 6:10 | history | edited | darij grinberg | CC BY-SA 3.0 |
added 4 characters in body; edited title
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| May 20, 2015 at 6:07 | history | asked | Cusp | CC BY-SA 3.0 |