${\mathbb P}^1$-gluing for local complete intersections
Abstract
We prove an analogue of the Affine Horrocks' Theorem for local complete intersection ideals of height $n$ in $R[T]$, where $R$ is a regular domain of dimension $d$, which is essentially of finite type over an infinite perfect field of characteristic unequal to $2$, and $2n\geq d+3$.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2017
- DOI:
- arXiv:
- arXiv:1709.08627
- Bibcode:
- 2017arXiv170908627K
- Keywords:
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- Mathematics - Commutative Algebra
- E-Print:
- 21 pages. arXiv admin note: substantial text overlap with arXiv:1701.00509. v2: Thoroughly revised and expanded, fixed some mistakes from the earlier version. Comments are very much welcome! 23 pages