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- W3113171034 abstract "A tensor product surface $mathscr {S}$ is an algebraic surface that is defined as the closure of the image of a rational map $phi$ from $mathbb {P}^1times mathbb {P}^1$ to $mathbb {P}^3$. We provide new determinantal representations of $mathscr {S}$ under the assumptions that $phi$ is generically injective and its base points are finitely many and locally complete intersections. These determinantal representations are matrices that are built from the coefficients of linear relations (syzygies) and quadratic relations of the bihomogeneous polynomials defining $phi$. Our approach relies on a formalization and generalization of the method of moving quadrics introduced and studied by David Cox and his co-authors." @default.
- W3113171034 created "2020-12-21" @default.
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- W3113171034 date "2021-04-20" @default.
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- W3113171034 title "Determinantal tensor product surfaces and the method of moving quadrics" @default.
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- W3113171034 doi "https://doi.org/10.1090/tran/8358" @default.
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