A database of basic numerical invariants of Hilbert modular surfaces

Author:

Assaf Eran,Babei Angelica,Breen Ben,Costa Edgar,Duque-Rosero Juanita,Horawa Aleksander,Kieffer Jean,Kulkarni Avinash,Molnar Grant,Schiavone Sam,Voight John

Abstract

We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.

Publisher

American Mathematical Society

Reference23 articles.

1. Eran Assaf, Angelica Babei, Ben Breen, Sara Chari, Edgar Costa, Juanita Duque-Rosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Abhijit Mudigonda, Michael Musty, Sam Schiavone, Shikhin Sethi, Samuel Tripp, and John Voight, Hilbert modular forms, 2023, \url{https://github.com/edgarcosta/hilbertmodularforms/}.

2. Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita Duque-Rosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam Schiavone, and John Voight, Hilbert modular surfaces data, 2023, \url{https://github.com/edgarcosta/hilbertmodularsurfacesdata/}.

3. The Magma algebra system. I. The user language;Bosma, Wieb;J. Symbolic Comput.,1997

4. Ben Breen and John Voight, Computing Hilbert modular forms via the trace formula, 2023, preprint.

5. On constant terms of Eisenstein series;Dasgupta, Samit;Acta Arith.,2021

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