So I will do a micro-rant: why does somebody create two tags for one question but cannot be bothered to use some additional tag beyond the ag toplevel tag. I will keep that as a "good" example for the next time somebody claims there is no problem with having specifialized tags. On the good siide, at least there was a toplevel tag.
Let X be a proper algebraic variety. X is said to have polynomial point count if there is a polynomial P such that for all finite fields 𝔽q with q elements, |X(𝔽q)|=P(q).
If in addition X is smooth, then by the Weil conjectures one can derive that X has no odd cohomology.
My question: Is ther...
Let $k$ be an algebraically closed field. Let $X/k$ be a smooth projective variety. For a suitable embedding in $\mathbb{P}^{n}$ we can form a Lefschetz pencil $\widetilde{X} \to D = \mathbb{P}^{1}$.
[Edit]: In response to Jason Starr's comment: I assume that every singular fibre of a Lefschetz...
Let $k$ be an algebraically closed field. Let $X/k$ be a smooth projective variety. For a suitable embedding in $\mathbb{P}^{n}$ we can form a Lefschetz pencil $\widetilde{X} \to D = \mathbb{P}^{1}$.
[Edit]: In response to Jason Starr's comment: I assume that every singular fibre of a Lefschetz...
