# Fiberwise bimeromorphic maps of conic bundles

**Authors:** Constantin Shramov

arXiv: 1908.00750 · 2019-09-27

## TL;DR

This paper proves that finite groups acting fiberwise bimeromorphically on a holomorphic conic bundle without sections are bounded, extending a known result to a broader class of conic bundles.

## Contribution

It establishes a boundedness result for finite groups acting on fiberwise bimeromorphic transformations of conic bundles without sections, generalizing previous work.

## Key findings

- Finite groups acting fiberwise bimeromorphically are bounded
- Extends boundedness results to holomorphic conic bundles without sections
- Provides a new analog of a known theorem for a broader class of conic bundles

## Abstract

Given a holomorphic conic bundle without sections, we show that finite groups acting by its fiberwise bimeromorphic transformations are bounded. This provides an analog of a similar result obtained by T.Bandman and Yu.Zarhin for quasi-projective conic bundles.

## Full text

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## References

13 references — full list in the complete paper: https://tomesphere.com/paper/1908.00750/full.md

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Source: https://tomesphere.com/paper/1908.00750