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Local cohomology and residues of rational functions at 0 and $\infty$

Let $a_1,\dots,a_s$ and $b_1,\dots,b_t$ be positive integers, where $s,t>0$. Choose $c\in\mathbb{Z}$. Let $M_c$ be the real vector space spanned by all monomials $x^\alpha y^\beta=x_1^{\alpha_1}\...
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