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The solving degrees for computing Gr\"{o}bner bases of affine semi-regular polynomial sequences

The solving degrees for computing Gr\"{o}bner bases of affine semi-regular polynomial sequences

Determining the complexity of computing Gr\"{o}bner bases is an important problem both in theory and in practice, and for that the solving degree plays a key role. In this paper, we study the solving degrees of affine semi-regular sequences and their homogenized sequences. Some of our results are considered to …