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8 votes

the group of all biholomorphic group automorphisms of complex tori

The automorphism group you describe is always equal to the group of automorphisms of the lattice - that is, the group of linear maps $\mathbb C^n \to \mathbb C^n$ that send $\Lambda$ to $\Lambda$. in …
Will Sawin's user avatar
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11 votes
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Is the determinant line bundle of a coherent sheaf functorial (between sheaves of the same r...

No. Working on projective space, consider a composition $$ \mathcal O \to \mathcal O \oplus \mathcal O/\mathcal O(-1) \to \mathcal O $$ where $\mathcal O/\mathcal O(-1)$ is the constant sheaf on a h …
Will Sawin's user avatar
  • 148k