commutative algebra
-
Problem 27: Hartshorne II.3.7
Hartshorne Exercise II.3.7. A morphism $f:X \ra Y$, with Y irreducible, is generically finite if $f^{-1}(\eta)$…
-
Problem 25: Hartshorne II.6.4.
Hartshorne Exercise II.6.4. Let $k$ be a field of characteristic $\ne 2$. Let $f\in k[x_1,…,x_n]$ be…
-
Problem 4: Hartshorne II.5.8
Hartshorne Exercise II.5.8. Again let X be a noetherian scheme, and $\mathcal{F}$ a coherent sheaf on…