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- W4317464984 abstract "We compute the $delta$-invariant of a curve singularity parameterized by generic sparse polynomials. We apply this to describe topological types of generic singularities of sparse resultants and ``algebraic knot diagrams'' (i.e. generic algebraic spatial curve projections). Our approach is based on some new results on zero loci of Schur polynomials, on transversality properties of maps defined by sparse polynomials, and on a new refinement of the notion of tropicalization of a curve (ultratropicalization), which may be of independent interest." @default.
- W4317464984 created "2023-01-20" @default.
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- W4317464984 date "2023-01-17" @default.
- W4317464984 modified "2023-09-26" @default.
- W4317464984 title "Sparse curve singularities, singular loci of resultants, and Vandermonde matrices" @default.
- W4317464984 doi "https://doi.org/10.48550/arxiv.2301.07001" @default.
- W4317464984 hasPublicationYear "2023" @default.
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