Timeline for Surfaces of general type such that $\operatorname{Sym}^n \Omega_X$ is globally generated (but $\Omega_X$ is not)
Current License: CC BY-SA 4.0
4 events
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| Feb 1, 2022 at 19:28 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
added 15 characters in body
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| Jan 23, 2022 at 14:06 | comment | added | Will Sawin | @FrancescoPolizzi All my arguments should work in this context, so I think so. | |
| Jan 23, 2022 at 8:39 | comment | added | Francesco Polizzi | Thank you for your nice answer. These surfaces $X$ are étale quotients of divisors in Abelian threefolds, hence (if my computations are correct) their second Segre class is zero, namely, $s_2(X) = c_1(X)^2-c_2(X)=0$. For technical reasons, I would like to have examples with positive $s_2$. Perhaps we could also obtain them by means of your construction, by taking as $Y$ a suitably complete intersection in $A \times E$, with $A$ Abelian threefold? | |
| Jan 22, 2022 at 21:27 | history | answered | Will Sawin | CC BY-SA 4.0 |