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Bibliographic Details
Main Author: Prokhorov, Yuri
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.03892
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Table of Contents:
  • A $\mathbf{Q}$-conic bundle is a contraction $f: X\to Z$ of a three-dimensional algebraic variety $X$ to a surface~$Z$ such that the variety~$X$ has only terminal $\mathbf{Q}$-factorial singularities, the anticanonical divisor $-K_X$ is~$f$-ample, and $\uprho(X/Z)=1$. We provide an algorithm to transform a $\mathbf{Q}$-conic bundle to its standard form.