scholarly journals Component twist method for higher twists in D1-D5 CFT

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
Zaq Carson ◽  
Ian T. Jardine ◽  
Amanda W. Peet
Keyword(s):  

2010 ◽  
Vol 52 (2) ◽  
pp. 371-381 ◽  
Author(s):  
MACIEJ ULAS

AbstractWe show that for any pair of elliptic curves E1, E2 over ℚ with j-invariant equal to 0, we can find a polynomial D ∈ ℤ[u, v] such that the cubic twists of the curves E1, E2 by D(u, v) have positive rank over ℚ(u, v). We also prove that for any quadruple of pairwise distinct elliptic curves Ei, i = 1, 2, 3, 4, with j-invariant j = 0, there exists a polynomial D ∈ ℤ[u] such that the sextic twists of Ei, i = 1, 2, 3, 4, by D(u) have positive rank. A similar result is proved for quadruplets of elliptic curves with j-invariant j = 1, 728.



2000 ◽  
Vol 573 (1-2) ◽  
pp. 405-433 ◽  
Author(s):  
A.L. Kataev ◽  
G. Parente ◽  
A.V. Sidorov


2003 ◽  
Vol 67 (7) ◽  
Author(s):  
W. Melnitchouk


1983 ◽  
Vol 212 (1) ◽  
pp. 29-98 ◽  
Author(s):  
R.K. Ellis ◽  
W. Furmanski ◽  
R. Petronzio
Keyword(s):  




2002 ◽  
Vol 65 (3) ◽  
Author(s):  
S. Simula ◽  
M. Osipenko ◽  
G. Ricco ◽  
M. Taiuti
Keyword(s):  


2007 ◽  
Vol 782 (1-4) ◽  
pp. 126-133 ◽  
Author(s):  
W. Melnitchouk


2010 ◽  
Vol 06 (05) ◽  
pp. 1183-1189 ◽  
Author(s):  
MACIEJ ULAS
Keyword(s):  
Rank 2 ◽  

In this note we show that for any pair of elliptic curves E1, E2 over ℚ with j-invariant equal to 0, we can find a polynomial D ∈ ℤ[u, v, w, t] such that the sextic twists of the curves E1, E2 by D(u, v, w, t) have rank ≥ 2 over the field ℚ(u, v, w, t). A similar result is proved for simultaneous quartic twists of pairs of elliptic curves with j-invariant 1728.



1999 ◽  
Vol 60 (9) ◽  
Author(s):  
I. Niculescu ◽  
C. Keppel ◽  
S. Liuti ◽  
G. Niculescu
Keyword(s):  


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