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math.NT2017
Non-ordinary curves with a Prym variety of low -rank
Turku Ozlum Celik, Yara Elias, Burcin Gunes +4
If is an unramified double cover of a smooth curve of genus , then the Prym variety is a principally polarized abelian variety of dimension . When is…
math.NT2017
Heights of CM cycles and derivatives of L-series
Yara Elias, Tian An Wong
We extend the work of S. Zhang and Yuan-Zhang-Zhang to obtain a Gross-Zagier formula for modular forms of even weight in terms of an arithmetic intersection pairing of CM-cycles on…