${\mathbb P}^1$-gluing for local complete intersections

Mrinal Kanti Das; Soumi Tikader; Md. Ali Zinna

${\mathbb P}^1$-gluing for local complete intersections

Commutative Algebra 2019-01-09 v2

Authors: Mrinal Kanti Das , Soumi Tikader , Md. Ali Zinna

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 $2n\geq d+3$ .

Keywords

intersection theory commutative algebra local-global principles

Cite

@article{arxiv.1709.08627,
  title  = {${\mathbb P}^1$-gluing for local complete intersections},
  author = {Mrinal Kanti Das and Soumi Tikader and Md. Ali Zinna},
  journal= {arXiv preprint arXiv:1709.08627},
  year   = {2019}
}

Comments

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

${\mathbb P}^1$-gluing for local complete intersections

Abstract

Keywords

Cite

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