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- W4293731223 abstract "We consider an homogeneous ideal I in the polynomial ring $$S=K[x_1,dots ,$$ $$x_m]$$ over a finite field $$K={mathbb {F}}_q$$ and the finite set of projective rational points $${{mathbb {X}}}$$ that it defines in the projective space $${{mathbb {P}}}^{m-1}$$ . We concern ourselves with the problem of computing the vanishing ideal $$I({{mathbb {X}}})$$ . This is usually done by adding the equations of the projective space $$I({{mathbb {P}}}^{m-1})$$ to I and computing the radical. We give an alternative and more efficient way using the saturation with respect to the homogeneous maximal ideal." @default.
- W4293731223 created "2022-08-31" @default.
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- W4293731223 date "2022-08-29" @default.
- W4293731223 modified "2023-09-23" @default.
- W4293731223 title "Saturation and vanishing ideals" @default.
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- W4293731223 doi "https://doi.org/10.1007/s40863-022-00330-y" @default.
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