The Hasse Principle for Geometric Variational Problems: An Illustration via Area-minimizing Submanifolds CGA36VE1C5
| URI | m2://res/CGA36VE1C5 |
|---|---|
| Kind | preprint |
| Creators | Zhenhua Liu |
| Date | 2025-08-28 |
| MSC | 53-XX, 35-XX, 11-XX |
| Subjects | arxiv math.DG, arxiv math.AP, arxiv math.NT |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2025-08-28 |
| Ids | arXiv 2508.21045 |
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 |
|---|---|---|---|
| 12AS43PHQQ | statement | fact 3.10.3 | arxiv |
| 12CKJBHHFF | definition | definition 3.9.1 | arxiv |
| 1DN01VJNSW | statement | fact 2.3.2 | arxiv |
| 1VHPNMRW9C | statement | corollary 2.1.1 | arxiv |
| 225T0YXX4R | statement | theorem 8 | arxiv |
| 225VNESR65 | statement | lemma 4.1.1 | arxiv |
| 2SRWCA3EPK | statement | fact 6.0.1 | arxiv |
| 33ZE806DAD | statement | lemma 3.12.1 | arxiv |
| 3YF9HGZC3H | statement | fact 7.1.1 | arxiv |
| 42RM0V1GAG | statement | theorem 1 | arxiv |
| 4K4Y1EKER9 | definition | definition 12.5.1 | arxiv |
| 4PKAPHRCWX | conjecture | conjecture 7 | arxiv |
| 4VEWYTEERK | statement | lemma 3.8.1 | arxiv |
| 4X52VRG8S4 | statement | fact 5.3.1 | arxiv |
| 5B03CYEM8J | conjecture | conjecture 6 | arxiv |
| 5N4EQMNW4S | statement | theorem 2 | arxiv |
| 5NP7WW9X25 | statement | lemma 3.10.1 | arxiv |
| 5NSVQABM56 | statement | fact 10.1.1 | arxiv |
| 5R621P0HYA | statement | fact 3.8.3 | arxiv |
| 5XPJASWRA8 | definition | definition 2.1.5 | arxiv |
| 5YFD5NKT9V | statement | theorem 5 | arxiv |
| 66ZGCN1ZAX | statement | fact 5.2.2 | arxiv |
| 6PNVNJ4J6N | statement | fact 9.0.1 | arxiv |
| 6QEDDPZJR2 | statement | corollary 12.4.1 | arxiv |
| 6VGJRJ39VX | definition | definition 3.9.2 | arxiv |
| 7437YEZT8D | conjecture | conjecture 5 | arxiv |
| 75XQKHFCPC | definition | definition 5.2.1 | arxiv |
| 77BVA0WZJ9 | statement | lemma 5.2.1 | arxiv |
| 7A5PQ8X2P7 | definition | definition 9.0.1 | arxiv |
| 86NJ7MWK8F | statement | fact 8.2.3 | arxiv |
| 8VZNZ0RG3V | statement | theorem 3 | arxiv |
| 9784E27GR6 | statement | lemma 2.2.1 | arxiv |
| 9JDR97RQSP | statement | fact 3.7.1 | arxiv |
| 9JKZTN59ZT | statement | fact 3.10.1 | arxiv |
| A3HVDJPZDS | statement | lemma 11.0.1 | arxiv |
| AYF1DEAH3W | conjecture | conjecture 4 | arxiv |
| B1N04X5B5T | definition | definition 2.3.1 | arxiv |
| B4RD3NGJQB | statement | fact 3.12.3 | arxiv |
| BFTTDVW4R9 | statement | theorem 6 | arxiv |
| BHYDYVN7MW | statement | corollary 1.0.1 | arxiv |
| BJKX4HDE59 | statement | fact 2.3.3 | arxiv |
| BKBFFQFA69 | statement | lemma 4.2.1 | arxiv |
| BKZ7R4X7A6 | statement | theorem 4 | arxiv |
| BSJN5JBFS3 | statement | fact 12.9.1 | arxiv |
| C52K0F18YP | statement | fact 12.5.2 | arxiv |
| CDG785DZXA | statement | fact 3.3.1 | arxiv |
| CGK3A8VZX1 | statement | fact 5.1.1 | arxiv |
| CQYAQXK0B1 | definition | definition 2.1.6 | arxiv |
| CZZFDK9PWD | statement | lemma 3.1.1 | arxiv |
| D4AC69Z9Y8 | statement | fact 3.12.1 | arxiv |
| DJD629D6G6 | statement | corollary 12.6.1 | arxiv |
| DRG9NZ3KNP | statement | fact 12.7.1 | arxiv |
| E20ZZCJFPQ | definition | definition 2.1.9 | arxiv |
| E3STBYD74Q | statement | fact 3.9.2 | arxiv |
| E4F3F7ANCS | definition | definition 3.4.1 | arxiv |
| EHXCWT1269 | statement | theorem 4 | arxiv |
| EPZ2TP2GQZ | statement | fact 3.8.5 | arxiv |
| EV2SH5DBRE | statement | fact 5.2.1 | arxiv |
| EZSCW0VSGW | statement | fact 3.11.1 | arxiv |
| F11ZD3DGT4 | statement | fact 3.8.4 | arxiv |
| F3XF67Z7ZX | statement | fact 8.1.1 | arxiv |
| F8RD307AAA | definition | definition 3.5.1 | arxiv |
| FE9PSNJ9HK | definition | definition 2.1.4 | arxiv |
| FHZ3M8J2Q8 | statement | fact 3.3.5 | arxiv |
| FJZ2AXV0BH | definition | definition 5.3.1 | arxiv |
| FK5SFFEFGK | statement | lemma 3.8.2 | arxiv |
| FK6EDJGCMK | statement | fact 2.3.1 | arxiv |
| FV407AT6XH | conjecture | conjecture 8 | arxiv |
| GFEEEARFHX | problem | problem 1 | arxiv |
| GVNHJF7E3J | definition | definition 2.1.1 | arxiv |
| H0TGQNA2E2 | definition | definition 3.1.1 | arxiv |
| H8GVNM1N6Q | statement | corollary 1.0.2 | arxiv |
| HHS7TPDKT5 | definition | definition 2.2.2 | arxiv |
| HYNAE20TXQ | statement | fact 3.8.2 | arxiv |
| JRBEG1W9YY | statement | theorem 1 | arxiv |
| K5FHQNJYC6 | definition | definition 2.1.2 | arxiv |
| K7EEH7ZEJC | statement | fact 2.1.1 | arxiv |
| K8YSW45Y78 | definition | definition 2.2.3 | arxiv |
| KGZ46ATR3X | definition | definition 2.2.1 | arxiv |
| KS1AYRXZJ0 | statement | fact 3.8.6 | arxiv |
| KY4TBJ9MXG | statement | fact 3.10.4 | arxiv |
| M3FMS2SC8Y | statement | theorem 2 | arxiv |
| MBE4W7SR2X | statement | fact 3.9.3 | arxiv |
| MDQBZNJR7H | statement | fact 3.12.2 | arxiv |
| MHRADZC4JH | statement | fact 3.3.4 | arxiv |
| MJ8SMFG4AB | statement | lemma 3.6.1 | arxiv |
| MYQ5C691A0 | definition | definition 3.5.2 | arxiv |
| N2F97XMSSC | statement | lemma 3.13.1 | arxiv |
| NW7N4BMWC6 | statement | fact 8.2.1 | arxiv |
| NYWHXRMYHG | definition | definition 2.1.7 | arxiv |
| P0QG543YNQ | statement | fact 3.10.2 | arxiv |
| P9611ZTAX2 | statement | fact 8.2.2 | arxiv |
| PCQFN2FGSV | definition | definition 3.8.1 | arxiv |
| PMEY0JN9Z0 | statement | lemma 3.7.1 | arxiv |
| PP4W3BBSJM | statement | lemma 10.1.1 | arxiv |
| PRC92PJBYK | conjecture | conjecture 10 | arxiv |
| Q14TXN17CX | statement | theorem 3 | arxiv |
| QN2NF8H0D0 | conjecture | conjecture 1 | arxiv |
| QY2YT3DEDQ | definition | definition 5.2.2 | arxiv |
| RJ0Z2MSKF2 | statement | fact 3.9.1 | arxiv |
| RVQ0G064S1 | definition | definition 2.1.3 | arxiv |
| RZ5990CTV2 | statement | fact 3.3.3 | arxiv |
| RZBV10C54R | statement | fact 3.3.2 | arxiv |
| S6J9BPDYYR | statement | fact 3.5.1 | arxiv |
| SC7KZ9BPH9 | definition | definition 2.1.8 | arxiv |
| SG9SNH7HV0 | conjecture | conjecture 3 | arxiv |
| SN6DPKXKHE | definition | definition 7.1.1 | arxiv |
| SW1CVW04YF | statement | theorem 5 | arxiv |
| SYV7TNNNWE | statement | fact 2.1.2 | arxiv |
| SZD73TYS79 | statement | lemma 3.11.1 | arxiv |
| TDPK0SWVVT | conjecture | conjecture 9 | arxiv |
| VQ4DFRPA80 | statement | lemma 3.8.3 | arxiv |
| WB66SXAWFC | statement | fact 3.2.1 | arxiv |
| WFPRMKHYET | statement | fact 12.5.1 | arxiv |
| WK1SWX2EFK | statement | corollary 12.2.1 | arxiv |
| WP8XT1MEZR | statement | fact 3.8.1 | arxiv |
| X4ZE4GHKMX | definition | definition 3.12.1 | arxiv |
| XRTKMNCR0Q | statement | theorem 7 | arxiv |
| YHGD6RF9KJ | definition | definition 5.0.1 | arxiv |
| YWRF3FA38B | conjecture | conjecture 2 | arxiv |
| Z0Q23RB5EV | statement | fact 5.2.4 | arxiv |
| ZDMSFV5KC4 | statement | lemma 5.0.1 | arxiv |
| ZGZWTR86P6 | statement | lemma 3.1.2 | arxiv |
| ZNT81YD9WK | statement | fact 7.0.1 | arxiv |
| ZQNV70ZP5Q | statement | fact 5.2.3 | arxiv |
Catalogue records
- arxiv: 2508.21045 (work)
- arxiv_text: 2508.21045 (work)