Title
Hyperresolutions Cubiques Et Descente Cohomologique (Lecture Notes In Mathematics, 1335) (French Edition)
Delivery time: 8-12 business days (International)
This Monograph Establishes A General Context For The Cohomological Use Of Hironaka'S Theorem On The Resolution Of Singularities. It Presents The Theory Of Cubical Hyperresolutions, And This Yields The Cohomological Properties Of General Algebraic Varieties, Following Grothendieck'S General Ideas On Descent As Formulated By Deligne In His Method For Simplicial Cohomological Descent. These Hyperrsolutions Are Applied In Problems Concerning Possibly Singular Varieties: The Monodromy Of A Holomorphic Function Defined On A Complex Analytic Space, The De Rham Cohmomology Of Varieties Over A Field Of Zero Characteristic, Hodgedeligne Theory And The Generalization Of Kodairaakizukinakano'S Vanishing Theorem To Singular Algebraic Varieties. As A Variation Of The Same Ideas, An Application Of Cubical Quasiprojective Hyperresolutions To Algebraic Ktheory Is Given.
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