Descent for semiorthogonal decompositions

DOI10.1016/j.aim.2021.107600zbMath1467.14049arXiv1912.08970OpenAlexW3125491428MaRDI QIDQ2227290

Elden Elmanto, Benjamin Antieau

Publication date: 15 February 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08970

zbMATH Keywords

derived categoriesdescentsemiorthogonal decompositionstwisted forms

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Brauer groups of schemes (14F22) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (1)

Stability conditions in families

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Derived Azumaya algebras and generators for twisted derived categories
• Higher traces, noncommutative motives, and the categorified Chern character
• Étale twists in noncommutative algebraic geometry and the twisted Brauer space
• The homotopy theory of dg-categories and derived Morita theory
• Homotopy coherent adjunctions and the formal theory of monads
• A proper base change theorem for non-torsion sheaves in étale cohomology
• On topological cyclic homology
• Group actions on categories and Elagin's theorem revisited
• Gluing semi-orthogonal decompositions
• Conservative descent for semi-orthogonal decompositions
• On derived categories of arithmetic toric varieties
• Brauer groups and étale cohomology in derived algebraic geometry
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Théorie de Hodge. II. (Hodge theory. II)
• Reconstruction of a variety from the derived category and groups of autoequivalences
• Descent theory for semiorthogonal decompositions
• Base change for semiorthogonal decompositions
• A derived equivalence for a degree 6 del Pezzo surface over an arbitrary field
• Sheaves of categories and the notion of 1-affineness
• HZ -algebra spectra are differential graded algebras
• Semiorthogonal decompositions for twisted grassmannians
• A semiorthogonal decomposition for Brauer-Severi schemes
• Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields
• Higher Topos Theory (AM-170)

This page was built for publication: Descent for semiorthogonal decompositions