Bound for the number of one-dimensional fibers of a projective morphism
classification
🧮 math.AC
keywords
mathbbboundfibersnumberalgebraicbirationalcanonicaldimensional
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Given a birational parameterization $\phi: \mathbb{P}_k^2 - rightarrow \mathbb{P}_k^3$ of an algebraic surface $\mathscr S\subset \mathbb{P}_k^3$, we bound the number of 1-dimensional fibers of the canonical projection of the graph of $\phi$ onto its image.
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