In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are ...
Requiring only some understanding of homological algebra and commutative ring theory, this book will give those who have encountered Grothendieck residues in geometry or complex analysis a better understanding of residues, as well as an appreciation of Hochschild homology. While numerous papers have treated the topics of residues from a variety of ...
The first part is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations ...
Robin Hartshorne's classical 1966 book "Residues and Duality" ["RD"] developed Alexandre Grothendieck's ideas for a pseudofunctorial variance theory of residual complexes and duality for maps of noetherian schemes. The three articles in this volume rework the main parts of the last two chapters in "RD", in greater generality - for Cousin complexes ...
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