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Primitive contractions of Calabi-Yau threefolds II
We construct 16 new examples of Calabi--Yau threefolds with Picard group of rank 1. Each of these examples is obtained by smoothing the image of a primitive contraction with exceptional divisor being a del Pezzo surface of degree 6, 7 or $\mathbb{P}^1 ...
Kapustka, Grzegorz
core +3 more sources
New examples of modular rigid Calabi-Yau threefolds
This paper presents five new examples of modular rigid Calabi-Yau threefolds arising from the modular elliptic surface of level 6. Explicit correspondences to newforms of weight 4 and level 10, 17, 21, and 73 are given.Comment: 9 pages; journal-ref ...
Schuett, Matthias
core +1 more source
CM newforms with rational coefficients
We classify newforms with rational Fourier coefficients and complex multiplication for fixed weight up to twisting. Under the extended Riemann hypothesis for odd real Dirichlet characters, these newforms are finite in number.
Schuett, Matthias
core +2 more sources

