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- W2232108222 abstract "Low pole order frames of slanted vector fields are constructed on the space of vertical k-jets of the universal family of complete intersections in $$mathbb {P} ^n$$ and, adapting the arguments, low pole order frames of slanted vector fields are also constructed on the space of vertical logarithmic k-jets along the universal family of projective hypersurfaces in $$mathbb {P} ^n$$ with several irreducible smooth components. Both the pole order (here $$=5k-2$$ ) and the determination of the locus where the global generation statement fails are improved compared to the literature (previously $$=k^{2}+2k$$ ), thanks to three new ingredients: we reformulate the problem in terms of some adjoint action, we introduce a new formalism of geometric jet coordinates, and then we construct what we call building-block vector fields, making the problem for arbitrary jet order $$kgeqslant 1$$ into a very analog of the much easier case where $$k=0$$ , i.e. where no jet coordinates are needed." @default.
- W2232108222 created "2016-06-24" @default.
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- W2232108222 date "2015-11-20" @default.
- W2232108222 modified "2023-10-08" @default.
- W2232108222 title "Slanted vector fields for jet spaces" @default.
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- W2232108222 doi "https://doi.org/10.1007/s00209-015-1553-1" @default.
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