On the simple object associated to a diagram in a closed model category

DOI10.1017/S0305004100066202zbMath0619.18004MaRDI QIDQ3755630

Pere Pascual-Gainza

Publication date: 1986

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

zbMATH Keywords

K-theoryclosed model categoryschemessimple objectcohomology of complex algebraic varietiesmultiplicative Hodge structures

Mathematics Subject Classification ID

Homotopy theory (55P99) Homotopy theory and fundamental groups in algebraic geometry (14F35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (1)

Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory)

Cites Work

• Riemann-Roch theorems for higher algebraic K-theory
• Cech and Steenrod homotopy theories with applications to geometric topology
• Homotopical algebra

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