The finite-degree profile of essential dimension II: cyclic $p$-groups in characteristic $p$ 1SPQ4J3AWY
| URI | m2://res/1SPQ4J3AWY |
|---|---|
| Kind | preprint |
| Creators | Abhishek Shukla |
| Date | 2026-10-07 |
| MSC | 14-XX |
| Subjects | arxiv math.AG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-07 |
| Ids | arXiv 2610.09298 |
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 |
|---|---|---|---|
| 1MBB3A1TD3 | statement | corollary 5.12 | arxiv |
| the smallest open case of Ledet's conjecture | problem | problem 9.1 | arxiv |
| 2W39941MG4 | statement | theorem 1.2 | arxiv |
| Ledet's conjecture as a lifting statement | statement | proposition 8.8 | arxiv |
| curves and Picard schemes | statement | fact 4.1 | arxiv |
| 4M0XQ5AQBJ | definition | definition 5.5 | arxiv |
| rational points of twisted $\Z/p^2$-curves | statement | proposition 6.1 | arxiv |
| $n=2$, $p=2$: the complete profile | statement | theorem 6.2 | arxiv |
| curves with a fixed point | statement | proposition 5.7 | arxiv |
| quantitative Reichstein--Vistoli | statement | theorem 5.9 | arxiv |
| the intermediate fields of $L/K$ for $G=\Z/p^n$ | statement | proposition 2.4 | arxiv |
| 8578YS9EC7 | statement | lemma 2.1 | arxiv |
| the twist is trivialised by $L$ | statement | lemma 4.3 | arxiv |
| the Witt layers of the profile | statement | proposition 8.3 | arxiv |
| lifting one Witt layer | statement | lemma 3.4 | arxiv |
| the prime-to-$p$ tail | statement | proposition 5.1 | arxiv |
| FTCGQPZKED | definition | definition 2.6 | arxiv |
| the first prime-to-$p$ jump degree | statement | theorem 5.11 | arxiv |
| Artin--Schreier layers | statement | lemma 5.3 | arxiv |
| two facts on curves | statement | lemma 4.2 | arxiv |
| truncation bound | statement | proposition 3.2 | arxiv |
| the slots at $(2,3)$ and their witnesses | statement | proposition 7.1 | arxiv |
| large fields | statement | corollary 5.14 | arxiv |
| $P(n,1)$ and Ledet's conjecture | statement | theorem 8.5 | arxiv |
| rigidity lemma, $\PGL_\ell$ form | statement | proposition 4.8 | arxiv |
| MEDMS4VVCT | statement | corollary 8.6 | arxiv |
| $n=2$, odd $p$ | statement | corollary 6.5 | arxiv |
| image of a free point | statement | lemma 2.5 | arxiv |
| explicit extensions with $\ed$ exactly $2$ | statement | theorem 7.5 | arxiv |
| rigidity lemma | statement | proposition 4.5 | arxiv |
| QJCWE7W76W | statement | corollary 7.6 | arxiv |
| QZE62FF5KK | statement | corollary 2.7 | arxiv |
| the profile at $(2,3)$ away from the Ledet slot | statement | theorem 7.2 | arxiv |
| S1EV68HTJZ | definition | definition 3.6 | arxiv |
| the first jump degree of $\Z/p^n$ | statement | theorem 4.9 | arxiv |
| the profile at $(2,3)$: summary | statement | theorem 7.7 | arxiv |
| SQ2GPE4MTP | statement | fact 2.8 | arxiv |
| $n=2$, all $p$ | statement | proposition 6.4 | arxiv |
| purely transcendental base change of the profile | statement | lemma 8.2 | arxiv |
| TS1CKZZKM3 | statement | theorem 5.6 | arxiv |
| TV163414JK | statement | proposition 3.7 | arxiv |
| V3JB1V4FSF | statement | corollary 2.2 | arxiv |
| free points on faithful curves | statement | corollary 4.10 | arxiv |
| W6F70RW5SK | statement | proposition 8.10 | arxiv |
| curves dominated by a fibration | statement | lemma 7.4 | arxiv |
| W7WCPZ9FFG | statement | theorem 1.1 | arxiv |
| Hilbert irreducibility on a twisted curve | statement | lemma 5.16 | arxiv |
| X7BHGMHAZP | statement | lemma 5.4 | arxiv |
| degrees of free points on twisted curves | problem | problem 9.4 | arxiv |
| the whole profile | problem | problem 9.3 | arxiv |
| the subgroup formula at $j=1$ | problem | problem 9.2 | arxiv |
| truncation tower | statement | lemma 3.1 | arxiv |
Catalogue records
- arxiv: 2610.09298 (work)
- arxiv_text: 2610.09298 (work)