Determinantal tensor product surfaces and the method of moving quadrics

نویسندگان

چکیده

A tensor product surface $\mathscr {S}$ is an algebraic that defined as the closure of image a rational map $\phi$ from $\mathbb {P}^1\times \mathbb {P}^1$ to {P}^3$. We provide new determinantal representations under assumptions generically injective and its base points are finitely many locally complete intersections. These matrices built coefficients linear relations (syzygies) quadratic bihomogeneous polynomials defining $\phi$. Our approach relies on formalization generalization method moving quadrics introduced studied by David Cox his co-authors.

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2021

ISSN: ['2330-0000']

DOI: https://doi.org/10.1090/tran/8358