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Cohomology Theory and Algebraic Correspondences
 
E. Snapper
Cohomology Theory and Algebraic Correspondences
eBook ISBN:  978-0-8218-9976-2
Product Code:  MEMO/1/33.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $18.40
Add to cart
Cohomology Theory and Algebraic Correspondences
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Cohomology Theory and Algebraic Correspondences
E. Snapper
eBook ISBN:  978-0-8218-9976-2
Product Code:  MEMO/1/33.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $18.40
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1; 1959; 96 pp
    MSC: Primary 14
  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Topological preparations
    • Part I. The cohomology theorem of the graph
    • 1. The proper generalization of Lemma 14.1 of [3]
    • 2. Applications of Lemma 1.1
    • Part II. Sheaves, associated with doubly graded modules
    • 3. The doubly graded coordinate ring of an algebraic correspondence
    • 4. Sheaves of fractional ideals
    • 5. The sheaf of a doubly graded $v$-module
    • 6. The sheaf $A(v^*(m, n))$
    • 7. Integrally closed Noetherian rings
    • 8. Divisors
    • Part III. Cohomology groups of doubly graded modules
    • 9. The double complex of a doubly graded $v$-module
    • 10. Polynomials
    • 11. General properties of $H^t(\mathfrak {M})$
    • 12. General properties of $H^t(X_3, F)$
    • 13. The divisor $D(m, n)$
    • Part IV. Linear systems
    • 14. Completeness of $g(m, n)$
    • 15. The Hilbert characteristic function of $T$
    • 16. The polynomial $\chi _1(m)$
    • 17. Irreducible linear systems without base points
    • Part V. The geometric genus under birational transformations
    • 18. Affine subvarieties, associated with $T$
    • 19. Coverings, associated with $T$
    • 20. Cohomology groups under birational transformations
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 1; 1959; 96 pp
MSC: Primary 14
  • Chapters
  • Introduction
  • Topological preparations
  • Part I. The cohomology theorem of the graph
  • 1. The proper generalization of Lemma 14.1 of [3]
  • 2. Applications of Lemma 1.1
  • Part II. Sheaves, associated with doubly graded modules
  • 3. The doubly graded coordinate ring of an algebraic correspondence
  • 4. Sheaves of fractional ideals
  • 5. The sheaf of a doubly graded $v$-module
  • 6. The sheaf $A(v^*(m, n))$
  • 7. Integrally closed Noetherian rings
  • 8. Divisors
  • Part III. Cohomology groups of doubly graded modules
  • 9. The double complex of a doubly graded $v$-module
  • 10. Polynomials
  • 11. General properties of $H^t(\mathfrak {M})$
  • 12. General properties of $H^t(X_3, F)$
  • 13. The divisor $D(m, n)$
  • Part IV. Linear systems
  • 14. Completeness of $g(m, n)$
  • 15. The Hilbert characteristic function of $T$
  • 16. The polynomial $\chi _1(m)$
  • 17. Irreducible linear systems without base points
  • Part V. The geometric genus under birational transformations
  • 18. Affine subvarieties, associated with $T$
  • 19. Coverings, associated with $T$
  • 20. Cohomology groups under birational transformations
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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