Download e-book for iPad: Grothendieck Duality and Base Change by Brian Conrad
By Brian Conrad
Grothendieck's duality conception for coherent cohomology is a basic instrument in algebraic geometry and quantity conception, in parts starting from the moduli of curves to the mathematics concept of modular types. awarded is a scientific assessment of the total concept, together with many simple definitions and an in depth examine of duality on curves, dualizing sheaves, and Grothendieck's residue image. alongside the way in which proofs are given of a few accepted foundational effects which aren't confirmed in current remedies of the topic, resembling the final base switch compatibility of the hint map for correct Cohen-Macaulay morphisms (e.g., semistable curves). this could be of curiosity to mathematicians who've a few familiarity with Grothendieck's paintings and need to appreciate the main points of this theory.
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Extra resources for Grothendieck Duality and Base Change
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