The Eisenbud-Green-Harris Conjecture
Giulio Caviglia, Alessandro De Stefani, and Enrico Sbarra

TL;DR
This paper surveys the Eisenbud-Green-Harris Conjecture, providing new proofs, a unified overview of existing results, and discussing applications and examples related to the conjecture.
Contribution
It offers a comprehensive survey with new proofs and a unified approach to the Eisenbud-Green-Harris Conjecture, consolidating scattered results and exploring applications.
Findings
New proofs of key theorems
Unified treatment of known results
Applications and examples provided
Abstract
We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature. We include a final section with some applications, and examples.
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