10-point multi-point Seshadri constant on $\mathbb{P}^2$
74a
Upper bound, last-listed row
| $\frac{1}{\sqrt{10}}$ | [[Gal2025](#Gal2025)] | This is the general bound $\epsilon(S,D,x_1,\dots,x_r)\le \sqrt{D^2/r}$ applied to $S=\mathbb{P}^2$, $D=\mathcal O_{\mathbb{P}^2}(1)$, and $r=10$. [Gal2025-upper-submax] |exact pinned row| $\frac{1}{\sqrt{10}}$ | [[Gal2025](#Gal2025)] | This is the general bound $\epsilon(S,D,x_1,\dots,x_r)\le \sqrt{D^2/r}$ applied to $S=\mathbb{P}^2$, $D=\mathcal O_{\mathbb{P}^2}(1)$, and $r=10$. <a href="#Gal2025-upper-submax">[Gal2025-upper-submax]</a> |tracked since 2026-07-24 — no movement seen yet
Lower bound, last-listed row
| $\frac{117}{370}$ | [[Eck2011](#Eck2011)] | Eckl’s improvement on the earlier $55/174$ bound. Record among the tabulated lower bounds. [Eck2011-lb-117-370] |exact pinned row| $\frac{117}{370}$ | [[Eck2011](#Eck2011)] | Eckl’s improvement on the earlier $55/174$ bound. Record among the tabulated lower bounds. <a href="#Eck2011-lb-117-370">[Eck2011-lb-117-370]</a> |text edited 2026-09-26 — bound unchanged
Cite this rowBounds Ledger — 10-point multi-point Seshadri constant on $\mathbb{P}^2$ (74a)
upper bound: $\frac{1}{\sqrt{10}}$ (tracked since 2026-07-24 — no movement seen yet)
lower bound: $\frac{117}{370}$ (text edited 2026-09-26 — bound unchanged)
Mirrored from teorth/optimizationproblems@2c1968c. These are the last-listed rows of that constant's bounds table — a listing position, not a statement that this bound is the strongest or most recent. A snapshot at that sha, not a live read.
https://u00dxk2.github.io/bounds-ledger/c/74a.html