Timeline for Has anyone studied the derived category of Higgs sheaves?
Current License: CC BY-SA 4.0
4 events
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| Nov 11, 2023 at 20:41 | comment | added | Cranium Clamp | In a special case where $ X $ is a curve, $ \operatorname{Hom}(E, E \otimes \omega_X) \cong \operatorname{Ext}^1(E,E)^{\vee} $ by Serre duality. Therefore Higgs sheaves on $ X $ correspond to the cotangent bundle of the moduli stack of vector bundles on $ X $. | |
| Nov 11, 2023 at 7:48 | comment | added | Piotr Achinger | This is possibly related to the full subcategory of $D^b(Coh(T^*X))$ consisting of objects whose support is finite/proper over $X$ | |
| Nov 11, 2023 at 3:27 | history | edited | Zhaoting Wei |
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| Nov 10, 2023 at 23:42 | history | asked | Zhaoting Wei | CC BY-SA 4.0 |