Papers › On Generators and Relations of the Rational Cohomology of Hilbert Schemes
On Generators and Relations of the Rational Cohomology of Hilbert Schemes
Andrea Bianchi, Alexander Mangulad Christgau, Jonathan Sejr Pedersen
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
We consider for d≥1 the graded commutative ℚ-algebra 𝒜(d):=H^*(Hilbᵈ(ℂ²);ℚ), which is also connected to the study of generalised Hurwitz spaces by work of the first author. These Hurwitz spaces are in turn related to the moduli spaces of Riemann surfaces with boundary. We determine two distinct, minimal sets of ⌊d/2⌋ multiplicative generators of 𝒜(d). Additionally, we prove when the lowest degree generating relations occur. For small values of d we also determine a minimal set of generating relations, which leads to several conjectures about the necessary generating relations for 𝒜(d).
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections