Grothendieck's trace map for arithmetic surfaces via residues and higher adèles

DOI10.2140/ant.2012.6.1503zbMath1259.14030arXiv1101.1883OpenAlexW2963279908MaRDI QIDQ1932516

Matthew Morrow

Publication date: 18 January 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1883

zbMATH Keywords

Grothendieck dualityreciprocity lawsresiduesarithmetic surfaceshigher adèles

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Local cohomology and algebraic geometry (14B15)

Related Items (6)

Adelic descent for K-theory ⋮ Residues and duality on semi-local two-dimensional adeles ⋮ Schmid's formula for higher local fields ⋮ Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces ⋮ Adelic geometry on arithmetic surfaces. II: Completed adeles and idelic Arakelov intersection theory ⋮ Higher adeles and non-abelian Riemann-Roch

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