English

Complete intersection ideals and a question of Nori

Commutative Algebra 2014-08-13 v1

Abstract

This is my PhD thesis from 2004 under Prof. S.M. Bhatwadekar. Here we answer a question of Nori and prove the following result. Let AA be a smooth affine domain of dimension dd over an infinite perfect field. Let II be an ideal of A[T]A[T] of height nn such that 2nd+32n \geq d+3. Given surjections ϕ:(A[T]/I)nI/I2\phi:(A[T]/I)^n \rightarrow I/I^2 and ρ:AnI(0)\rho :A^n \rightarrow I(0) such that ϕ(0)=ρA/I(0)\phi(0)=\rho \otimes A/I(0), then there exist a surjection Φ:A[T]nI\Phi :A[T]^n \rightarrow I such that Φ(0)=ρ\Phi(0)=\rho and ΦA/I=ϕ\Phi \otimes A/I =\phi. This is a joint work with S.M. Bhatwadekar.

Keywords

Cite

@article{arxiv.1408.2643,
  title  = {Complete intersection ideals and a question of Nori},
  author = {M. K. Keshari and S. M. Bhatwadekar},
  journal= {arXiv preprint arXiv:1408.2643},
  year   = {2014}
}

Comments

PhD thesis (2004)

R2 v1 2026-06-22T05:26:13.853Z