let $X \subseteq \mathbb{A}^n$ be a hypersurface defined by the equation $F(\mathbf{x}) = 0$ where $F \in \mathbb{Q}[x_1, ..., x_n]$. In a paper I am reading they say let $X^c$ be a smooth and projective model of $X$. I was wondering what was meant by this? I would greatly appreciate any assistance on this, as I could not find the meaning by googling.. Thank you very much.
2026-03-26 06:30:56.1774506656
What is a smooth projective model of $X$ (an affine variety)?
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