Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Luca Candelori"'
Autor:
Luca Candelori
Publikováno v:
Annales de l'Institut Fourier. 70:809-830
We give an algebraic analog of the functional equation of Riemann's theta function. More precisely, we define a `theta multiplier' line bundle over the moduli stack of principally polarized abelian schemes with theta characteristic and prove that its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff6fd9b828cb61adec158fe695c7ef3c
https://doi.org/10.5802/aif.3324
https://doi.org/10.5802/aif.3324
Publikováno v:
Candelori, L, Franc, C & Kopp, G 2017, ' Generating weights for the Weil representation attached to an even order cyclic quadratic module ', Journal of Number Theory, vol. 180, pp. 474-497 . https://doi.org/10.1016/j.jnt.2017.04.017
Text We develop geometric methods to study the generating weights of free modules of vector-valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group. We then compute the generating weights for m
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https://doi.org/10.1016/j.jnt.2017.04.017
https://doi.org/10.1016/j.jnt.2017.04.017
Autor:
Cameron Franc, Luca Candelori
Publikováno v:
International Journal of Number Theory. 13:39-63
This paper presents the theory of holomorphic vector-valued modular forms from a geometric perspective. More precisely, we define certain holomorphic vector bundles on the modular orbifold of generalized elliptic curves whose sections are vector-valu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2203d3c51307e8199857782bafd1c911
https://doi.org/10.1142/s179304211750004x
https://doi.org/10.1142/s179304211750004x
By employing the theory of vector-valued automorphic forms for non-unitarizable representations, we provide a new bound for the number of linear relations with algebraic coefficients between the periods of an algebraic Riemann surface with many autom
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http://arxiv.org/abs/1812.06495
http://arxiv.org/abs/1812.06495
Autor:
Luca Candelori
In the 1930s Chevalley and Weil gave a formula for decomposing the canonical representation on the space of differential forms of the Galois group of a ramified Galois cover of Riemann surfaces. In this article we prove an analogous Chevalley-Weil fo
Externí odkaz:
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http://arxiv.org/abs/1712.02437
http://arxiv.org/abs/1712.02437
We classify the three-dimensional representations of the modular group that are reducible but indecomposable, and their associated spaces of holomorphic vector-valued modular forms. We then demonstrate how such representations may be employed to comp
Externí odkaz:
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http://arxiv.org/abs/1707.01693
http://arxiv.org/abs/1707.01693
Autor:
Luca Candelori
Publikováno v:
Mathematische Annalen. 360:489-517
The purpose of the present work is to provide a geometric framework for the study of the Fourier coefficients of harmonic weak Maass forms, a space of smooth modular forms first introduced by Bruinier and Funke in the context of singular theta lifts.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::265defe0f16118d666308ec64438914b
https://doi.org/10.1007/s00208-014-1043-5
https://doi.org/10.1007/s00208-014-1043-5
Autor:
Francesc Castella, Luca Candelori
Bringmann et al. (Trans Am Math Soc 364(5):2393–2410, 2012) showed how to ‘regularize’ mock modular forms by a certain linear combination of the Eichler integral of their shadows in order to obtain p-adic modular forms in the sense of Serre. In
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http://arxiv.org/abs/1605.05765
http://arxiv.org/abs/1605.05765
Autor:
Candelori, Luca, Patel, Yatin
Publikováno v:
Communications in Algebra; 2023, Vol. 51 Issue 11, p4885-4898, 14p
Publikováno v:
Memoirs of the American Mathematical Society; 11/16/2022, Vol. 280 Issue 1382, p1-138, 138p