Finite-Defect Rigidity and the Minimum Spherical 4-Design on the Two-Sphere Z7M2JSF6HA
| URI | m2://res/Z7M2JSF6HA |
|---|---|
| Kind | preprint |
| Creators | Shalender Singh, Vishnupriya Singh |
| Date | 2026-09-16 |
| MSC | 05-XX, 51-XX, 52-XX |
| Subjects | arxiv math.CO, arxiv math.MG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-16 |
| Ids | arXiv 2609.31689 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Rank-two linear--quadratic aliases | statement | theorem 8.3 | arxiv |
| Corank-two structure and low-dimensional classification | statement | theorem 1.4 | arxiv |
| Forced quadratic socle | statement | theorem 8.7 | arxiv |
| Residue formula for the signed distribution | statement | theorem 7.3 | arxiv |
| Remainder functional | statement | lemma 7.1 | arxiv |
| Spherical design | definition | definition 2.1 | arxiv |
| Cayley--Bacharach and the Hilbert tail | statement | proposition 3.2 | arxiv |
| 4E1KF7D6AW | definition | definition 2.4 | arxiv |
| Cayley--Bacharach property | definition | definition 2.6 | arxiv |
| 56D2EHBJRE | statement | theorem 1.1 | arxiv |
| Integral form of the kernel | statement | lemma 6.2 | arxiv |
| 7PNRY3ZJJ3 | statement | fact 6.1 | arxiv |
| Galois obstruction | statement | theorem 6.3 | arxiv |
| Harmonic spinor parameterisation | statement | lemma 14.1 | arxiv |
| Projective lift and Hilbert function | definition | definition 2.5 | arxiv |
| 99KH1Z8XTA | statement | lemma 14.2 | arxiv |
| The circle | statement | proposition 6.9 | arxiv |
| The exceptional branch is impossible | statement | proposition 13.1 | arxiv |
| The generic branch is impossible | statement | proposition 12.2 | arxiv |
| Conic bound | statement | lemma 9.3 | arxiv |
| Design exactness | definition | definition 2.3 | arxiv |
| Exact corank-two identities | statement | theorem 8.4 | arxiv |
| Socle interpolation | statement | proposition 8.6 | arxiv |
| An unconditional family in every strength | statement | theorem 6.5 | arxiv |
| Reality dichotomy | statement | lemma 10.2 | arxiv |
| Exact minimum | statement | theorem 16.2 | arxiv |
| DYS7A1SWTN | statement | lemma 7.2 | arxiv |
| Corank-one classification at strength four | statement | theorem 5.1 | arxiv |
| Galois constancy | statement | lemma 4.4 | arxiv |
| EZJYW48B18 | statement | lemma 10.3 | arxiv |
| Gale dual of a design | statement | theorem 3.1 | arxiv |
| Common-factor dichotomy | statement | lemma 12.1 | arxiv |
| Corank-one nonexistence range | statement | theorem 1.3 | arxiv |
| M8EAJK8YX8 | statement | lemma 10.1 | arxiv |
| The regular heptagon | statement | proposition 8.11 | arxiv |
| Rational roots at strength six | statement | lemma 6.7 | arxiv |
| Hilbert function through degree two | statement | lemma 8.1 | arxiv |
| Corank-one classification at strength six | statement | theorem 6.8 | arxiv |
| Sampled inner product, evaluation spaces | definition | definition 2.2 | arxiv |
| Spin-$3/2$ rotation | statement | lemma 14.3 | arxiv |
| Pauli normalisation | statement | lemma 13.2 | arxiv |
| The socle through the aliases | statement | proposition 8.8 | arxiv |
| PTAYTTS0Z6 | statement | theorem 9.1 | arxiv |
| Uniform corank-one obstruction | statement | theorem 7.5 | arxiv |
| Corank-one splitting | statement | theorem 4.1 | arxiv |
| Forced distance distribution | statement | lemma 4.3 | arxiv |
| Finite-defect structure | statement | theorem 1.2 | arxiv |
| Uniform multiplicative relations | statement | proposition 3.3 | arxiv |
| Cubic saturation and quadratic Cayley--Bacharach | statement | corollary 8.2 | arxiv |
| WH31P5HB39 | example | example 6.6 | arxiv |
| X7AGR4GHHG | statement | lemma 16.1 | arxiv |
| Line bound | statement | lemma 9.2 | arxiv |
| Qualitative stability | statement | corollary 17.1 | arxiv |
| ZGTSBDWQWQ | statement | corollary 5.2 | arxiv |
| ZK1VTGM1PN | statement | corollary 7.6 | arxiv |
Catalogue records
- arxiv: 2609.31689 (work)
- arxiv_text: 2609.31689 (work)