Modular forms and \(K3\) surfaces
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Publication:390723
DOI10.1016/j.aim.2013.03.008zbMath1314.14069arXiv0809.0830OpenAlexW2963547819MaRDI QIDQ390723
Matthias Schütt, Noam D. Elkies
Publication date: 8 January 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.0830
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Cites Work
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- On the modularity of rigid Calabi-Yau threefolds: epilogue
- Rigid Calabi-Yau threefolds over \(\mathbb Q\) are modular
- Kummer sandwich theorem of certain elliptic \(K3\) surfaces
- \(K3\) surfaces with Picard rank 20
- Lines on Fermat surfaces
- Fields of definition of singular \(K3\) surfaces
- CM newforms with rational coefficients
- Serre's modularity conjecture. I
- Leonhard Euler's convenient numbers
- The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
- Elliptic fibrations of some extremal \(K3\) surfaces
- On elliptic modular surfaces
- Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
- Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps
- Imaginary quadratic fields with class group exponent 5
- Transcendental lattices and supersingular reduction lattices of a singular 𝐾3 surface
- INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
- Local families of K3 surfaces and applications
- Shimura Curve Computations Via K3 Surfaces of Néron–Severi Rank at Least 19
- Exponents of the class groups of complex quadratic fields
- On the Exponent of the Ideal Class Groups of Complex Quadratic Fields
- Jacobi Sums as "Grossencharaktere"
