Open Research Index

Expected syzygies and Fröberg’s conjecture through degree 2d

Vlado Vojdanovski

Palomar Registrypalomar/PALOMAR-2026-10-13-000002Oct 13, 2026math.ACscore 0

Formalizes Theorem 1.1 of Expected Syzygies and Fröberg’s Conjecture through Degree 2d: assuming the Expected Syzygy Conjecture over a characteristic-zero field, general degree-d forms have the positively truncated Hilbert function predicted by Fröberg’s conjecture in every degree through 2d. The implication holds for every positive number of variables and degree and every number of generators, with one common nonempty open set for all the stated degrees.

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-10-13-000002
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-13-000002/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-13-000002/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'