Timeline for Set of orthogonal complements to open set in $Gr(k,\mathbb{C}^n)$ open in $Gr(n-k,\mathbb{C}^n)$?
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5 events
| when toggle format | what | by | license | comment | |
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| Feb 15, 2020 at 15:14 | comment | added | Ben | @DavidESpeyer Ahh... so simple. Thank you! | |
| Feb 14, 2020 at 22:13 | comment | added | David E Speyer | Judging by the question you link to, your $u^{\perp}$ is orhogonality with respect to the Hermitian inner product. If it were orthogonality by the standard complex-linear inner product, then you would have an isomorphism of varieties as described that question. But the Hermitian orthogonal complement is the composition of the complex linear orthogonal complement and complex conjugation! Both are automorphisms of the Zariski topology, so the answer is yes! | |
| Feb 14, 2020 at 21:34 | history | edited | LSpice | CC BY-SA 4.0 |
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| Feb 14, 2020 at 20:10 | review | First posts | |||
| Feb 14, 2020 at 21:26 | |||||
| Feb 14, 2020 at 20:08 | history | asked | Ben | CC BY-SA 4.0 |