# A weak criterion of bigness for toric vector bundles

**Authors:** Evgeny Mayanskiy

arXiv: 1907.11675 · 2019-07-29

## TL;DR

This paper introduces a relaxed criterion for determining when equivariant vector bundles on toric varieties are big, advancing the understanding of their geometric properties.

## Contribution

It presents a weaker version of the bigness criterion specifically for equivariant vector bundles on toric varieties, expanding theoretical tools.

## Key findings

- Established a weak bigness criterion for equivariant vector bundles
- Extended the theoretical framework for vector bundles on toric varieties
- Provided conditions under which vector bundles are considered big

## Abstract

We prove a weak version of a bigness criterion for equivariant vector bundles on toric varieties.

## Full text

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## References

4 references — full list in the complete paper: https://tomesphere.com/paper/1907.11675/full.md

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Source: https://tomesphere.com/paper/1907.11675