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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 +...
Sasha's user avatar
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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 ...
Donu Arapura's user avatar
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