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Résidus et Dualité: Prénotes pour un "Séminaire Hartshorne"
 
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-983-8
Product Code:  SMFDM/21
List Price: $70.00
AMS Member Price: $56.00
Not yet published - Preorder Now!
Expected availability date: January 02, 2025
Please note AMS points can not be used for this product
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Résidus et Dualité: Prénotes pour un "Séminaire Hartshorne"
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-983-8
Product Code:  SMFDM/21
List Price: $70.00
AMS Member Price: $56.00
Not yet published - Preorder Now!
Expected availability date: January 02, 2025
Please note AMS points can not be used for this product
  • Book Details
     
     
    Documents Mathématiques
    Volume: 212024; 165 pp
    MSC: Primary 01; 14; 13

    In the fall of 1963, there was a seminar at Harvard on duality theorems in algebraic geometry. The seminar's aim was to understand how the systematic use of the revolutionary new method of derived categories had enabled Grothendieck to generalize to the relative case, for a proper morphism of schemes, the duality theorems of Serre for projective varieties over a field. Presented here are the typewritten “prenotes” which Grothendieck prepared to guide Hartshorne in running the seminar. Unpublished until now, they show the mathematician as he reached the height of his creative powers.

    This edition also contains a preface by Hartshorne explaining the origins of the ideas presented in the seminar, together with a discussion of the differences between these prenotes and his report in the Springer Lecture Notes Residues and Duality of 1966, where the derived category and these new duality theorems appeared for the first time in print.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Readership

    Graduate students and research mathematicians.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 212024; 165 pp
MSC: Primary 01; 14; 13

In the fall of 1963, there was a seminar at Harvard on duality theorems in algebraic geometry. The seminar's aim was to understand how the systematic use of the revolutionary new method of derived categories had enabled Grothendieck to generalize to the relative case, for a proper morphism of schemes, the duality theorems of Serre for projective varieties over a field. Presented here are the typewritten “prenotes” which Grothendieck prepared to guide Hartshorne in running the seminar. Unpublished until now, they show the mathematician as he reached the height of his creative powers.

This edition also contains a preface by Hartshorne explaining the origins of the ideas presented in the seminar, together with a discussion of the differences between these prenotes and his report in the Springer Lecture Notes Residues and Duality of 1966, where the derived category and these new duality theorems appeared for the first time in print.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.