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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
1
answer
2k
views
the genus of a nonsingular projective curve is a birational invariant [closed]
Is true that two birational projectives nonsingular curves have the same genus?
I know that for a non singular projective curve the genus is given by the formula
1/2(d-1)(d-2), where d is the degre …
-1
votes
1
answer
500
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Dominant morphism of Affine Scheme
Suppose to have $\phi$ a ring morphsim from $A$ to $B$, let $X=SpecA$ , $Y=SpecB$ and $\psi$ the induced morphism of affine schemes. It's true that if $\psi$ dominant than $\phi$ is injective?