Parity of ranks of elliptic curves with equivalent mod p Galois representations
Given two elliptic curves and defined over the field of rational numbers that have good and ordinary reduction at an odd prime , and have equivalent, irreducible mod Galois representations, we study the variation of the parity of Selmer ranks and analytic ranks of and over certain number fields.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
February 3, 2016
|
| In: |
Proceedings of the American Mathematical Society
Year: 2016, Jahrgang: 144, Heft: 8, Pages: 3255-3266 |
| ISSN: | 1088-6826 |
| DOI: | 10.1090/proc/12993 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1090/proc/12993 Verlag, lizenzpflichtig, Volltext: https://www.ams.org/proc/2016-144-08/S0002-9939-2016-12993-6/ 
|
| Verfasserangaben: | Sudhanshu Shekhar; (communicated by Romyar T. Sharifi) |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1697309690 | ||
| 003 | DE-627 | ||
| 005 | 20220818071901.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 200506s2016 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1090/proc/12993 |2 doi | |
| 035 | |a (DE-627)1697309690 | ||
| 035 | |a (DE-599)KXP1697309690 | ||
| 035 | |a (OCoLC)1341318768 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Shekhar, Sudhanshu |e VerfasserIn |0 (DE-588)1209610345 |0 (DE-627)1697284914 |4 aut | |
| 245 | 1 | 0 | |a Parity of ranks of elliptic curves with equivalent mod p Galois representations |c Sudhanshu Shekhar; (communicated by Romyar T. Sharifi) |
| 264 | 1 | |c February 3, 2016 | |
| 300 | |a 12 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 06.05.2020 | ||
| 520 | |a Given two elliptic curves and defined over the field of rational numbers that have good and ordinary reduction at an odd prime , and have equivalent, irreducible mod Galois representations, we study the variation of the parity of Selmer ranks and analytic ranks of and over certain number fields. | ||
| 650 | 4 | |a congruences | |
| 650 | 4 | |a elliptic curves | |
| 650 | 4 | |a Iwasawa theory | |
| 650 | 4 | |a Selmer groups | |
| 773 | 0 | 8 | |i Enthalten in |a American Mathematical Society |t Proceedings of the American Mathematical Society |d Providence, RI : Soc., 1950 |g 144(2016), 8, Seite 3255-3266 |h Online-Ressource |w (DE-627)270129839 |w (DE-600)1476739-9 |w (DE-576)079876188 |x 1088-6826 |7 nnas |
| 773 | 1 | 8 | |g volume:144 |g year:2016 |g number:8 |g pages:3255-3266 |g extent:12 |a Parity of ranks of elliptic curves with equivalent mod p Galois representations |
| 856 | 4 | 0 | |u https://doi.org/10.1090/proc/12993 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u https://www.ams.org/proc/2016-144-08/S0002-9939-2016-12993-6/ |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20200506 | ||
| 993 | |a Article | ||
| 994 | |a 2016 | ||
| 998 | |g 1209610345 |a Shekhar, Sudhanshu |m 1209610345:Shekhar, Sudhanshu |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1697309690 |e 3660974692 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"person":[{"given":"Sudhanshu","family":"Shekhar","role":"aut","roleDisplay":"VerfasserIn","display":"Shekhar, Sudhanshu"}],"title":[{"title":"Parity of ranks of elliptic curves with equivalent mod p Galois representations","title_sort":"Parity of ranks of elliptic curves with equivalent mod p Galois representations"}],"recId":"1697309690","language":["eng"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Gesehen am 06.05.2020"],"name":{"displayForm":["Sudhanshu Shekhar; (communicated by Romyar T. Sharifi)"]},"id":{"doi":["10.1090/proc/12993"],"eki":["1697309690"]},"origin":[{"dateIssuedKey":"2016","dateIssuedDisp":"February 3, 2016"}],"relHost":[{"title":[{"title":"Proceedings of the American Mathematical Society","title_sort":"Proceedings of the American Mathematical Society"}],"recId":"270129839","language":["eng"],"corporate":[{"role":"aut","roleDisplay":"VerfasserIn","display":"American Mathematical Society"}],"type":{"media":"Online-Ressource","bibl":"periodical"},"note":["Gesehen am 09.07.24"],"disp":"American Mathematical SocietyProceedings of the American Mathematical Society","part":{"text":"144(2016), 8, Seite 3255-3266","volume":"144","extent":"12","year":"2016","issue":"8","pages":"3255-3266"},"pubHistory":["1.1950 -"],"id":{"zdb":["1476739-9"],"eki":["270129839"],"issn":["1088-6826"]},"origin":[{"publisherPlace":"Providence, RI","dateIssuedKey":"1950","publisher":"Soc.","dateIssuedDisp":"1950-"}],"physDesc":[{"extent":"Online-Ressource"}]}],"physDesc":[{"extent":"12 S."}]} | ||
| SRT | |a SHEKHARSUDPARITYOFRA3201 | ||