# Automorphisms of weighted complete intersections

**Authors:** Victor Przyjalkowski, Constantin Shramov

arXiv: 1905.12574 · 2020-08-13

## TL;DR

This paper proves that smooth, well-formed weighted complete intersections generally have finite automorphism groups, with some clearly identified exceptions, advancing understanding of their symmetry properties.

## Contribution

It establishes the finiteness of automorphism groups for a broad class of weighted complete intersections, identifying specific cases where this does not hold.

## Key findings

- Finite automorphism groups for smooth well-formed weighted complete intersections
- Identification of obvious exceptions to finiteness
- Contribution to the classification of symmetries in algebraic geometry

## Abstract

We show that smooth well formed weighted complete intersections have finite automorphism groups, with several obvious exceptions.

## Full text

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## References

26 references — full list in the complete paper: https://tomesphere.com/paper/1905.12574/full.md

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Source: https://tomesphere.com/paper/1905.12574