top
Let be an abelian variety defined over a number field . In this short Note we give a characterization of the endomorphisms that preserve the height pairing associated to a polarization. We also give a functorial interpretation of this result.
Talamanca, Valerio. "A Note on height pairings on polarized abelian varieties." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 10.1 (1999): 57-60. <http://eudml.org/doc/252412>.
@article{Talamanca1999, abstract = {Let \( A \) be an abelian variety defined over a number field \( k \). In this short Note we give a characterization of the endomorphisms that preserve the height pairing associated to a polarization. We also give a functorial interpretation of this result.}, author = {Talamanca, Valerio}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni}, keywords = {Abelian varieties; Height pairings; Endomorphisms; endomorphisms of abelian variety; height pairing associated to a polarization}, language = {eng}, month = {3}, number = {1}, pages = {57-60}, publisher = {Accademia Nazionale dei Lincei}, title = {A Note on height pairings on polarized abelian varieties}, url = {http://eudml.org/doc/252412}, volume = {10}, year = {1999}, }
TY - JOUR AU - Talamanca, Valerio TI - A Note on height pairings on polarized abelian varieties JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni DA - 1999/3// PB - Accademia Nazionale dei Lincei VL - 10 IS - 1 SP - 57 EP - 60 AB - Let \( A \) be an abelian variety defined over a number field \( k \). In this short Note we give a characterization of the endomorphisms that preserve the height pairing associated to a polarization. We also give a functorial interpretation of this result. LA - eng KW - Abelian varieties; Height pairings; Endomorphisms; endomorphisms of abelian variety; height pairing associated to a polarization UR - http://eudml.org/doc/252412 ER -
