Year: 2026
Type: preprint
Abstract: In this note, we show that the Hilbert scheme $\text{Hilb}_{P_{d,4}(t)}(E_6/P_6)$ associated with the Hilbert polynomial $P_{d,4}(t)$ is disconnected by determining that it has exactly two connected components. This result adapts Seong's methods, successfully extending the disconnectedness of Grassmannians to the exceptional type $E_6$.
Source: arXiv (Cornell University)
Author: Jeon, Minyoung
Institution: Seoul Women's University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Institute for Basic Science
OpenAlex ID: W7212078856