An explicit form of the standard conjecture of Hodge type for Hermitian varieties, with $p$-adic applications 3TJ2FWXQ0D
| URI | m2://res/3TJ2FWXQ0D |
|---|---|
| Kind | preprint |
| Creators | Shushi Harashita |
| Date | 2026-10-01 |
| MSC | 14-XX |
| Subjects | arxiv math.AG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-01 |
| Ids | arXiv 2610.01731 |
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 |
|---|---|---|---|
| Excess intersection formula | statement | fact 2.9 | arxiv |
| Betti numbers of a nonsingular hypersurface | statement | fact 2.8 | arxiv |
| Dual polar graphs | statement | fact 2.13 | arxiv |
| Weak Lefschetz | statement | fact 2.4 | arxiv |
| 3D0EK1ES6P | statement | theorem 1.1 | arxiv |
| Standard conjecture of Hodge type for supersingular Fermat varieties | statement | corollary 7.8 | arxiv |
| Grothendieck; standard conjecture of Hodge type $\mathrm{Hdg}(Y)$ | conjecture | conjecture 2.2 | arxiv |
| Normal bundles | statement | fact 2.7 | arxiv |
| 66F4YG0CP6 | statement | proposition 7.9 | arxiv |
| Hdg descends | statement | lemma 7.1 | arxiv |
| Valencies of $^2A_{2r-1}(q)$ | statement | lemma 3.5 | arxiv |
| 72FXHW0K8K | statement | lemma 2.12 | arxiv |
| Orthogonal decomposition | statement | lemma 4.3 | arxiv |
| 8KAEZE9G1A | statement | theorem 1.2 | arxiv |
| 8XFBHNAGAT | statement | lemma 7.7 | arxiv |
| Valencies | definition | definition 2.11 | arxiv |
| Chern class of the excess bundle | statement | lemma 3.10 | arxiv |
| Shioda--Katsura | statement | theorem 7.6 | arxiv |
| Decomposition of $\Ql^{\mathcal G}$ | statement | theorem 4.6 | arxiv |
| $\theta_\star=\theta_r$ and $W_\star=W_r$ | statement | lemma 4.2 | arxiv |
| Cleanness | statement | lemma 3.9 | arxiv |
| CC3XJ19V4Y | statement | corollary 6.2 | arxiv |
| trace identity | statement | proposition 6.1 | arxiv |
| Spectrum of $M$ | statement | theorem 4.5 | arxiv |
| Poincar\'e duality | statement | fact 2.5 | arxiv |
| Finite covers by Hermitian varieties | statement | theorem 7.4 | arxiv |
| Shioda supersingularity | definition | definition 7.5 | arxiv |
| FWYZGQ3EX3 | statement | theorem 4.8 | arxiv |
| classical | statement | proposition 3.3 | arxiv |
| Intersection array of $^2A_{2r-1}(q)$ | statement | lemma 3.4 | arxiv |
| GTAWGDEGHR | definition | definition 3.12 | arxiv |
| Main theorem | statement | theorem 5.3 | arxiv |
| HX3CEMHTHY | definition | definition 3.1 | arxiv |
| The full space of algebraic classes | statement | proposition 5.2 | arxiv |
| J45PY8EJH1 | statement | corollary 5.4 | arxiv |
| Scaling | statement | lemma 7.2 | arxiv |
| Gauss | statement | fact 2.14 | arxiv |
| JTBCBXHVFG | definition | definition 3.2 | arxiv |
| K7V2ZSX98D | statement | corollary 1.4 | arxiv |
| The decomposition is defined over $\Q$ | statement | lemma 4.7 | arxiv |
| Degree of a generator, and row sums | statement | lemma 3.15 | arxiv |
| Intersection numbers | statement | lemma 3.11 | arxiv |
| Hodge type below the middle degree; Lefschetz decomposition | statement | proposition 2.3 | arxiv |
| Standard conjecture of Hodge type for $\Herm(2r-1,q^{2})$ | conjecture | conjecture 5.1 | arxiv |
| QHEBP6RC33 | statement | corollary 4.4 | arxiv |
| Key identity | statement | theorem 4.1 | arxiv |
| QWHSPP0GF8 | statement | lemma 3.8 | arxiv |
| Cycle classes | statement | fact 2.6 | arxiv |
| T5DNS75S4J | statement | corollary 7.10 | arxiv |
| TFFBF8H29P | statement | proposition 3.13 | arxiv |
| TX39VD4SXZ | statement | theorem 1.3 | arxiv |
| Every polarization of a Hermitian variety is covered | statement | lemma 7.3 | arxiv |
| Lefschetz decomposition for $X$ | statement | proposition 3.7 | arxiv |
| Tate | conjecture | conjecture 2.1 | arxiv |
| YHBTEZ58DV | statement | lemma 3.6 | arxiv |
| Witt's theorem for Hermitian forms | statement | fact 2.10 | arxiv |
Catalogue records
- arxiv: 2610.01731 (work)
- arxiv_text: 2610.01731 (work)