This volume contains three papers on the foundations of Grothendieck duality on Noetherian formal schemes and on not-necessarily-Noetherian ordinary schemes. Th
Robert Hartshorne's book, Residues and Duality (1966, Springer-Verlag), introduced the notion of residual complexes and developed a duality theory (Grothendieck
Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse propert
A 2010 collection of survey articles by leading experts covering fundamental aspects of triangulated categories, as well as applications in algebraic geometry,
This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository paper