Timeline for Ex 1.1c Hartshorne Deformation Theory: Is this family flat?
Current License: CC BY-SA 4.0
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Mar 25, 2022 at 5:35 | comment | added | nolatos | Thank you! I appreciate it. | |
Mar 25, 2022 at 4:15 | comment | added | Kapil | The family you have given is not flat as it is not equidimensional. In such contexts, flat implies equidimensional. Regarding your original question, the consequence of flatness and properness is that the direct image of a locally free sheaf is locally free. | |
Mar 25, 2022 at 3:41 | history | edited | nolatos | CC BY-SA 4.0 |
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Mar 25, 2022 at 2:24 | history | edited | nolatos | CC BY-SA 4.0 |
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Mar 25, 2022 at 2:04 | history | asked | nolatos | CC BY-SA 4.0 |