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arXiv · 2307.02441

Monic Inversion Principle and Complete intersection

M. K. Keshari·Soumi Tikader
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Abstract

Let $A$ be a regular ring of dimension $d$ essentially of finite type over an infinite field $k$ of characteristic $\neq 2$. Let $P$ be a projective $A$-module of rank $n$ with $2n\geq d+3$. Let $I$ be an ideal of $A[T]$ of height $n$ and $\phi:P[T]\twoheadrightarrow I/I^2$ be a surjection. If $\phi\otimes A(T)$ has a surjective lift $\theta :P[T]\otimes A(T)\twoheadrightarrow IA(T)$, then $\phi$ has a surjective lift $\Phi:P[T]\twoheadrightarrow I$.

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M. K. Keshari, Soumi Tikader. 2023-07-05. Monic Inversion Principle and Complete intersection. https://arxiv.org/abs/2307.02441

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