scholarly journals Explicit descent for Jacobians of prime power cyclic covers of the projective line

2017 ◽  
Vol 370 (5) ◽  
pp. 3487-3505
Author(s):  
Edward F. Schaefer
Keyword(s):  
Prime Power ◽  
Projective Line ◽  
Cyclic Covers

scholarly journals On cyclic covers of the projective line

2006 ◽  
Vol 121 (1) ◽  
pp. 105-130 ◽  
Author(s):  
Jannis A. Antoniadis ◽  
Aristides Kontogeorgis
Keyword(s):  
Projective Line ◽  
Cyclic Covers

scholarly journals Newton polygons arising from special families of cyclic covers of the projective line

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Wanlin Li ◽  
Elena Mantovan ◽  
Rachel Pries ◽  
Yunqing Tang
Keyword(s):  
Projective Line ◽  
Newton Polygons ◽  
Cyclic Covers

scholarly journals Distinguishing mutant pretzel knots in concordance

2017 ◽  
Vol 26 (07) ◽  
pp. 1750041 ◽  
Author(s):  
Allison N. Miller
Keyword(s):  
Prime Power ◽  
Reidemeister Torsion ◽  
Alexander Polynomials ◽  
Cyclic Covers ◽  
Pretzel Knots ◽  
Alexander Invariants

We prove that many four-strand pretzel knots of the form [Formula: see text] are not topologically slice, even though their positive mutants [Formula: see text] are ribbon. We use the sliceness obstruction of Kirk and Livingston [Twisted Alexander invariants, Reidemeister torsion, and Casson–Gordon invariants, Topology 38 (1999) 635–661], related to the twisted Alexander polynomials associated to prime power cyclic covers of knots.

scholarly journals Group Actions on cyclic covers of the projective line

2019 ◽  
Vol 207 (1) ◽  
pp. 311-334 ◽  
Author(s):  
Aristides Kontogeorgis ◽  
Panagiotis Paramantzoglou
Keyword(s):  
Group Actions ◽  
Projective Line ◽  
Cyclic Covers
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