## New answers tagged algebraic-surfaces

5
votes

### Derived McKay correspondence between a weighted projective plane and a Hirzebruch surface

One choice of $\Phi$ acts as
$$
\mathcal{O}_{\mathbb{P}(1,1,2)}(2i) \mapsto
\mathcal{O}_{\mathbb{F}_2}(i(e + 2f)),
$$
$$
\mathcal{O}_{\mathbb{P}(1,1,2)}(2i+1) \mapsto
\mathcal{O}_{\mathbb{F}_2}(i(e +...

6
votes

Accepted

### Existence of elliptic curves on surfaces of general type

Take a product $X= C_1\times C_2$, where $C_i$ are smooth curves of genus greater than $1$. $X$ has general type, and is uniformized by a product of two disks. Also $X$ won't contain an elliptic curve ...

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