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arXiv · 2611.09365

Tetragonal conic bundles

Yuri Prokhorov·Vyacheslav Shokurov
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Abstract

This paper addresses the birational geometry of three-dimensional algebraic varieties admitting a conic bundle structure. The central focus is on tetragonal transformations -- a special class of birational maps between standard conic bundles that are not fiberwise and play a key role in the birational geometry of such varieties.

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Yuri Prokhorov, Vyacheslav Shokurov. 2026-11-06. Tetragonal conic bundles. https://arxiv.org/abs/2611.09365

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