# Determinantal tensor product surfaces and the method of moving quadrics

30 Jun 2020 Busé Laurent Chen Falai

A tensor product surface $\mathcal{S}$ is an algebraic surface that is defined as the closure of the image of a rational map $\phi$ from $\mathbb{P}^1\times \mathbb{P}^1$ to $\mathbb{P}^3$. We provide new determinantal representations of $\mathcal{S}$ under the assumptions that $\phi$ is generically injective and its base points are finitely many and locally complete intersections... (read more)

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• ALGEBRAIC GEOMETRY
• COMMUTATIVE ALGEBRA