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- W4311113433 abstract "In this paper we study the equations of the elimination ideal associated with $n+1$ generic multihomogeneous polynomials defined over a product of projective spaces of dimension $n$. We first prove a duality property and then make this duality explicit by introducing multigraded Sylvester forms. These results provide a partial generalization of similar properties that are known in the setting of homogeneous polynomial systems defined over a single projective space. As an important consequence, we derive a new family of elimination matrices that can be used for solving zero-dimensional multiprojective polynomial systems by means of linear algebra methods." @default.
- W4311113433 created "2022-12-23" @default.
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- W4311113433 date "2021-04-18" @default.
- W4311113433 modified "2023-09-27" @default.
- W4311113433 title "Multigraded Sylvester forms, Duality and Elimination Matrices" @default.
- W4311113433 doi "https://doi.org/10.48550/arxiv.2104.08941" @default.
- W4311113433 hasPublicationYear "2021" @default.
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