Timeline for Reference for numerically non-negative polynomials for nef vector bundles
Current License: CC BY-SA 4.0
6 events
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| Nov 14, 2023 at 14:06 | comment | added | user513306 | But even if the proof is alright, it would be nice, to just have the statement over an arbitrary ground field somewhere… | |
| Nov 14, 2023 at 14:06 | comment | added | user513306 | @DaveAnderson Thank you for your comment! Unfortunately, also in Fulton's paper about filtered vector bundles, at least the statement of Theorem' about nef vector bundles refers to the complex ground field (it refers to compact Kähler manifolds). Maybe the proof (in the case of a projective variety) works over an arbitrary ground field, I didn't have time to properly check this yet. | |
| Nov 14, 2023 at 11:56 | comment | added | Dave Anderson | I don't think the proof depends much on the ground field. See Fulton's followup paper, "Positive polynomials for filtered ample vector bundles" (Amer J Math, 1995), which takes the setting to be over a general field, and also Demailly-Peternell-Schneider (J. Alg. Geom, 1994), which proves the result you want over C. | |
| Nov 13, 2023 at 16:15 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Nov 13, 2023 at 16:10 | history | edited | user513306 | CC BY-SA 4.0 |
added 30 characters in body
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| Nov 13, 2023 at 16:00 | history | asked | user513306 | CC BY-SA 4.0 |