Picard numbers of quintic surfaces

DOI10.1112/plms/pdu056zbMath1316.14073arXiv1308.2525OpenAlexW3102578468MaRDI QIDQ5175032

Matthias Schütt

Publication date: 19 February 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2525

zbMATH Keywords

Picard numbersurface of general typeDelsarte surfaceFermat surfacequintic surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Surfaces of general type (14J29)

Related Items (2)

Picard Ranks of K3 Surfaces of BHK Type ⋮ Computing periods of hypersurfaces

Cites Work

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• Picard numbers of Delsarte surfaces
• The Tate conjecture for \(K3\) surfaces over finite fields
• Modular forms and \(K3\) surfaces
• The Picard group of a \(K3\) surface and its reduction modulo \(p\)
• Quintic surfaces with maximum and other Picard numbers
• \(K3\) surfaces with Picard rank 20
• Lines on Fermat surfaces
• \(K3\) surfaces with Picard number one and infinitely many rational points
• Complete intersections with middle Picard number 1 defined over \({\mathbb{Q}}\)
• Horikawa surfaces with maximal Picard numbers
• The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces
• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
• Enriques surfaces: Brauer groups and Kummer structures
• On the Picard number of \(K3\) surfaces over number fields
• \(K3\) surfaces with an automorphism of order 11
• On elliptic modular surfaces
• Q-Curves and Abelian Varieties of GL₂ -Type
• On the computation of the Picard group for K3 surfaces
• BETTI AND PICARD NUMBERS OF ABSTRACT ALGEBRAIC SURFACES
• An Explicit Algorithm for Computing the Picard Number of Certain Algebraic Surfaces
• On the Picard number of a complex projective variety
• The Barth quintic surface has Picard number 41
• Numbers of solutions of equations in finite fields

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