Algebraic \(K\)-theory of toric hypersurfaces

DOI10.4310/CNTP.2011.v5.n2.a3zbMath1274.19003arXiv0809.4669OpenAlexW2963414377MaRDI QIDQ432996

Charles F. Doran, Matthew Kerr

Publication date: 13 July 2012

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4669

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) (K)-theory of schemes (19E08) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Mirror symmetry (algebro-geometric aspects) (14J33) Arithmetic mirror symmetry (11G42)

Related Items (17)

Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations ⋮ Feynman integrals and mirror symmetry ⋮ Matrix models from operators and topological strings ⋮ Limits and singularities of normal functions ⋮ Dwork congruences and reflexive polytopes ⋮ Operators and higher genus mirror curves ⋮ Regulator maps for higher Chow groups via current transforms ⋮ Reflexive polygons and rational elliptic surfaces ⋮ Apéry extensions ⋮ Simplicial Abel-Jacobi maps and reciprocity laws ⋮ Spectral theory and mirror symmetry ⋮ The elliptic dilogarithm for the sunset graph ⋮ The Abel-Jacobi map for higher Chow groups. II ⋮ Spectral theory and mirror curves of higher genus ⋮ A Feynman integral via higher normal functions ⋮ On the remodeling conjecture for toric Calabi-Yau 3-orbifolds ⋮ Two applications of the integral regulator

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