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Direct sum decomposability of smooth polynomials and factorization of associated forms. (arXiv:1705.03452v2 [math.AG] UPDATED)
来源于:arXiv
We prove an if-and-only-if criterion for direct sum decomposability of a
smooth homogeneous form in terms of the factorization properties of the
Macaulay inverse system of its Milnor algebra. This criterion leads to an
algorithm for computing direct sum decompositions over any field either of
characteristic zero, or of sufficiently large positive characteristic, for
which polynomial factorization algorithms exist. 查看全文>>