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  Graded rings of Hermitian modular forms with singularities

Wang, H., & Williams, B. (2023). Graded rings of Hermitian modular forms with singularities. Manuscripta mathematica, 170(1-2), 283-311. doi:10.1007/s00229-021-01367-7.

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Wang-Williams_Graded rings of Hermitian modular forms with singularities_2023.pdf (Verlagsversion), 366KB
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Open Access This article is licensed under a Creative Commons Attribution 4.0 Interna- tional License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/ licenses/by/4.0/.
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2106.15985.pdf (Preprint), 389KB
 
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https://doi.org/10.1007/s00229-021-01367-7 (Verlagsversion)
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https://doi.org/10.48550/arXiv.2106.15985 (Preprint)
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 Urheber:
Wang, Haowu1, Autor           
Williams, Brandon, Autor
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Schlagwörter: Mathematics, Number Theory, Algebraic Geometry
 Zusammenfassung: We study graded rings of meromorphic Hermitian modular forms of degree two whose poles are supported on an arrangement of Heegner divisors. For the group SU2,2(OK) where K is the imaginary-quadratic number field of discriminant −d, d∈{4,7,8,11,15,19,20,24} we obtain a polynomial algebra without relations. In particular the Looijenga compactifications of the arrangement complements are weighted projective spaces.

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Sprache(n): eng - English
 Datum: 2023
 Publikationsstatus: Erschienen
 Seiten: 29
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: arXiv: 2106.15985
DOI: 10.1007/s00229-021-01367-7
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Titel: Manuscripta mathematica
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Springer
Seiten: - Band / Heft: 170 (1-2) Artikelnummer: - Start- / Endseite: 283 - 311 Identifikator: -