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1 vote

Context for intersection theory

Also, I strongly suspect that arithmetic varieties are not really special in this matter. You would probably get the same restrictions in the 'geometric' situation i.e. when your surface is smooth pro …
Mikhail Bondarko's user avatar
1 vote
1 answer
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A composition of a finite morphisms with the transpose correspondence: is it the multiplicat...

Let $X,Y$ be smooth varieties over a field $k$ (which in my case is perfect of finite characteristic $p$; we may also assume that $X,Y$ are connected); $s:Y\to X$ is a finite morphism of degree $d$. T …
Mikhail Bondarko's user avatar
13 votes

Context for intersection theory

When you intersect two divisor, you obtain a algebraic cycle of codimension 2. For a smooth surface, this is a collection of points that is well-defined up to rational equivalence. Now, if the surface …
Mikhail Bondarko's user avatar