Resolution of Veronese Embedding of plane curves
Aaloka Kanhere

TL;DR
This paper explicitly computes the minimal free resolution of the ideal of smooth plane curves of degree d under the Veronese embedding into P^5, providing detailed algebraic descriptions for degrees d ≥ 2.
Contribution
It provides the first explicit minimal free resolutions of the Veronese embeddings of smooth plane curves for all degrees d ≥ 2.
Findings
Explicit minimal free resolutions for d ≥ 2
Detailed algebraic structure of the ideals
Enhanced understanding of Veronese embeddings
Abstract
Let be a smooth (irreducible) curve of degree in . Let be the Veronese embedding and let denote the homogeneous ideal of on . In this note we explicitly write down the minimal free resolution of for $d\geq 2
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