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Cohomology theory and algebraic correspondences
About this Title
Ernst Snapper
Publication: Memoirs of the American Mathematical Society
Publication Year:
1959; Number 33
ISBNs: 978-0-8218-1233-4 (print); 978-0-8218-9976-2 (online)
DOI: https://doi.org/10.1090/memo/0033
MathSciNet review: 0104673
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