Stably free modules over smooth affine threefolds
Jean Fasel
TL;DR
This paper proves that all stably free modules over smooth affine threefolds defined over algebraically closed fields with characteristic not equal to 2 are actually free modules, confirming a significant conjecture in algebraic geometry.
Contribution
It establishes the freeness of stably free modules over smooth affine threefolds in a broad algebraic setting, extending previous results and confirming a key conjecture.
Findings
All stably free modules over the specified threefolds are free.
The result holds over algebraically closed fields with characteristic not 2.
This confirms a major conjecture in the theory of projective modules.
Abstract
We prove that the stably free modules over a smooth affine threefold over an algebraically closed field of characteristic different from 2 are free.
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