Isogenies of certain \(K3\) surfaces of rank 18

DOI10.1007/s40687-021-00293-0zbMath1477.14057arXiv2109.03189OpenAlexW3202508787MaRDI QIDQ2234127

Adrian Clingher, Noah Braeger, Andreas Malmendier, Shantel Spatig

Publication date: 18 October 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03189

zbMATH Keywords

isogeniesKummer surfaceselliptic \(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Global ground fields in algebraic geometry (14G25)

Related Items

Relationships between hyperelliptic functions of genus 2 and elliptic functions

Cites Work

• Kummer surfaces associated with Seiberg-Witten curves
• Kummer sandwich theorem of certain elliptic \(K3\) surfaces
• Double covers of Kummer surfaces
• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• On the geometry of a Siegel modular threefold
• A universal genus-two curve from Siegel modular forms
• Special function identities from superelliptic Kummer varieties
• On K3 surfaces with large Picard number
• Die eindeutige Bestimmung des Modulfunktionen \(q\)-ter Stufe durch algebraische Eigenschaften
• Kummer sandwiches and Greene-Plesser construction
• Counting rational points on Kummer surfaces
• Nikulin involutions and the CHL string
• Six line configurations and string dualities
• \(K3\) surfaces, modular forms, and non-geometric heterotic compactifications
• Moonshine for \(M_{24}\) and Donaldson invariants of \(\mathbb{C} \text{P}^2\)
• The Satake sextic in F-theory
• Modular invariants for lattice polarized \(K3\) surfaces
• La conjecture de Weil pour les surfaces K3
• Elliptic fibrations on a generic Jacobian Kummer surface
• On the Ring of Modular Forms of Degree Two Over Z
• (16,6) configurations and geometry of Kummer surfaces in 𝑃³
• Igusa modular forms and 'the simplest' Lorentzian Kac-Moody algebras
• Zeta functions of an infinite family of K3 surfaces
• Humbert surfaces and the Kummer plane
• Elliptic K3 Surfaces with Abelian and Dihedral Groups of Symplectic Automorphisms
• AN ISOGENY OF K3 SURFACES
• ON THE STRUCTURE OF COMPACT COMPLEX ANALYTIC SURFACES, II
• On Siegel Modular Forms of Genus Two
• Recent progress on the Tate conjecture
• Modular Forms and Projective Invariants
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item