Work

Linear syzygies of curves in weighted projective space

Year: 2025

Type: article

Abstract: We develop analogues of Green’s $N_p$ conditions for subvarieties of weighted projective space, and we prove that such $N_p$ conditions are satisfied for high degree embeddings of curves in weighted projective space. A key technical result links positivity with low degree (virtual) syzygies in wide generality, including cases where normal generation fails.

Source: Compositio Mathematica

DOI: 10.1112/s0010437x25007092

Authors: Michael K. Brown, Daniel Erman

Institutions: Auburn University, University of Hawaiʻi at Mānoa, University of Hawaii System

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

OpenAlex ID: W4413463315