Rings of modular forms and a splitting of \(\mathrm{TMF}_0(7)\)

DOI10.1007/s00029-019-0532-5zbMath1437.55008arXiv1812.04425OpenAlexW2999383192MaRDI QIDQ2286221

Viktoriya Ozornova, Lennart Meier

Publication date: 10 January 2020

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04425

zbMATH Keywords

modular formstopological modular formsmoduli stack of elliptic curvestmf

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Holomorphic modular forms of integral weight (11F11) Elliptic cohomology (55N34) Moduli, classification: analytic theory; relations with modular forms (14J15) Stacks and moduli problems (14D23)

Related Items (5)

Heights on stacks and a generalized Batyrev–Manin–Malle conjecture ⋮ Additive decompositions for rings of modular forms ⋮ Detecting and describing ramification for structured ring spectra ⋮ Connective models for topological modular forms of level \(n\) ⋮ Topological modular forms with level structure: Decompositions and duality

Cites Work

• Higher analytic stacks and GAGA theorems
• On the homotopy of \(Q(3)\) and \(Q(5)\) at the prime 2
• The homology of \(\mathrm{tmf}\)
• The Picard group of topological modular forms via descent theory
• A classification of K-local spectra
• Algebraic geometry and analytic geometry
• A modular description of the \(K(2)\)-local sphere at the prime 3
• Stable reflexive sheaves
• \(p\)-adic interpolation of real analytic Eisenstein series
• A modular description of \(\mathscr X_0(n)\)
• Generators of graded rings of modular forms
• Additive decompositions for rings of modular forms
• Vector bundles on the moduli stack of elliptic curves
• The stack of formal groups in stable homotopy theory
• The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules
• A thick subcategory theorem for modules over certain ring spectra
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Courbes elliptiques: Formulaire
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Elliptic Curves
• Topological resolutions in K(2)‐local homotopy theory at the prime 2
• Les Schémas de Modules de Courbes Elliptiques
• Morita theory for Hopf algebroids and presheaves of groupoids
• Topological modular forms with level structure: Decompositions and duality
• Affineness and chromatic homotopy theory
• ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES
• Computing Weight One Modular Forms over $\mathbb{C}$ and $\overline{\mathbb{F}}_{p}$
• Projective modules over polynomial rings
• Topological modular forms with level structure
• Generators and relations of the graded algebra of modular forms
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