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PreprintarXiv licencearXiv

Tetragonal conic bundles

  • Yuri Prokhorov
  • Vyacheslav Shokurov
Open at sourcePDFDOICite

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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Cite

BibTeXRIS
BibTeX
@misc{prokhorov2026tetragonal,
  title = {{Tetragonal conic bundles}},
  author = {Yuri Prokhorov and Vyacheslav Shokurov},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.09365},
  eprint = {2611.09365},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.09365},
}
RIS
TY  - UNPB
TI  - Tetragonal conic bundles
AU  - Yuri Prokhorov
AU  - Vyacheslav Shokurov
PY  - 2026
DA  - 2026/11/06
PB  - arXiv
DO  - 10.48550/arxiv.2611.09365
UR  - https://arxiv.org/abs/2611.09365
AB  - 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.
ER  -