We prove that there exist two families in of non-Galois covers of the projective line whose Jacobians trace out Shimura subvarieties of . They provide the first two explicit examples of Shimura subvarieties obtained by means of Jacobians carrying non-trivial endomorphisms not directly induced by the automorphisms of the curves. We also obtain a new example of a positive dimensional family of special Pryms in .
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Irene Spelta 1
@article{CRMATH_2022__360_G10_1117_0, author = {Irene Spelta}, title = {Shimura subvarieties via endomorphisms}, journal = {Comptes Rendus. Math\'ematique}, pages = {1117--1124}, publisher = {Acad\'emie des sciences, Paris}, volume = {360}, year = {2022}, doi = {10.5802/crmath.369}, language = {en}, }
Irene Spelta. Shimura subvarieties via endomorphisms. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1117-1124. doi : 10.5802/crmath.369. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.369/
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