Pseudoinversos de morfismos entre variedades abelianas: Pseudoinverses of morphisms between Abelian varieties

Robert Auffarth

doi:10.56754/0719-0646.2702.179

DOI:

https://doi.org/10.56754/0719-0646.2702.179

Abstract

We show that to each homomorphism between polarized abelian varieties, we can associate its so-called pseudoinverse homomorphism, which can be seen as analogous to the Moore-Penrose matrix of a given complex matrix. We study some properties of this homomorphism.

Resumen:

Mostramos que a cada homomorfismo entre variedades abelianas polarizadas le podemos asociar lo que llamamos su homomorfismo pseudoinverso, el cual es la noción homóloga de la matriz de Moore-Penrose de una matriz compleja dada. Estudiamos algunas propiedades de este homomorfismo.

Keywords

Abelian variety , pseudoinverse , dagger category

Mathematics Subject Classification:

14K20 , 15A09 , 15A10

Robert Auffarth Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Santiago, Chile. https://orcid.org/0000-0001-7243-0315

Pages: 179–189
Date Published: 2025-08-08
In Press

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