scholarly journals Generalized Jacobians and explicit descents

2019 ◽  
Vol 89 (323) ◽  
pp. 1365-1394
Author(s):  
Brendan Creutz
Keyword(s):  
Generalized Jacobians

scholarly journals Heegner divisors in generalized Jacobians and traces of singular moduli

2016 ◽  
Vol 10 (6) ◽  
pp. 1277-1300 ◽  
Author(s):  
Jan Hendrik Bruinier ◽  
Yingkun Li
Keyword(s):  
Generalized Jacobians ◽  
Singular Moduli

Rational torsion of generalized Jacobians of modular and Drinfeld modular curves

2019 ◽  
Vol 31 (3) ◽  
pp. 647-659
Author(s):  
Fu-Tsun Wei ◽  
Takao Yamazaki
Keyword(s):  
Prime Power ◽  
Analogous Result ◽  
Power Level ◽  
Modular Curves ◽  
Generalized Jacobian ◽  
Torsion Points ◽  
Modular Curve ◽  
Generalized Jacobians ◽  
Drinfeld Modular Curves ◽  
Primary Torsion

Abstract We consider the generalized Jacobian {\widetilde{J}} of the modular curve {X_{0}(N)} of level N with respect to a reduced divisor consisting of all cusps. Supposing N is square free, we explicitly determine the structure of the {\mathbb{Q}} -rational torsion points on {\widetilde{J}} up to 6-primary torsion. The result depicts a fuller picture than [18] where the case of prime power level was studied. We also obtain an analogous result for Drinfeld modular curves. Our proof relies on similar results for classical Jacobians due to Ohta, Papikian and the first author. We also discuss the Hecke action on {\widetilde{J}} and its Eisenstein property.

C97. Generalized determinants and generalized jacobians

1981 ◽  
Vol 13 (1) ◽  
pp. 60-62
Author(s):  
I.J. Good
Keyword(s):  
Generalized Jacobians

Serre Lie algebras of generalized Jacobians

1976 ◽  
Vol 19 (4) ◽  
pp. 347-349
Author(s):  
G. V. Belyi ◽  
V. A. Korolevich
Keyword(s):  
Lie Algebras ◽  
Generalized Jacobians

scholarly journals On generalized Jacobians

1950 ◽  
Vol 68 (3) ◽  
pp. 405-405 ◽  
Author(s):  
T. Rado ◽  
P. V. Reichelderfer
Keyword(s):  
Generalized Jacobians

The tangent direction bundle of an algebraic variety and generalized Jacobians of linear systems

1961 ◽  
Vol 56 (1) ◽  
pp. 359-373 ◽  
Author(s):  
A. W. Ingleton ◽  
D. B. Scott
Keyword(s):  
Linear Systems ◽  
Algebraic Variety ◽  
Generalized Jacobians ◽  
Tangent Direction

Hyperelliptic Continued Fractions and Generalized Jacobians:

2019 ◽  
pp. 56-101
Author(s):  
Laura Capuano ◽  
Peter Jossen ◽  
Christina Karolus ◽  
Francesco Veneziano
Keyword(s):  
Continued Fractions ◽  
Generalized Jacobians

An open mapping theorem using unbounded generalized Jacobians

2002 ◽  
Vol 50 (5) ◽  
pp. 647-663 ◽  
Author(s):  
V. Jeyakumar ◽  
D.T. Luc
Keyword(s):  
Open Mapping ◽  
Open Mapping Theorem ◽  
Generalized Jacobians
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