02881nam 2200553 450 991078861940332120230414230604.00-8218-9976-7(CKB)3360000000463992(EBL)3113570(SSID)ssj0000973287(PQKBManifestationID)11948241(PQKBTitleCode)TC0000973287(PQKBWorkID)10958538(PQKB)10412317(MiAaPQ)EBC3113570(RPAM)0000000665(PPN)195409167(EXLCZ)99336000000046399220750522d1959 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierCohomology theory and algebraic correspondences /Ernst SnapperProvidence :American Mathematical Society,1959.1 online resource (104 pages)Memoirs of the American Mathematical Society ;number 33Description based upon print version of record.0-8218-1233-5 Includes bibliographical references.""CONTENTS""; ""INTRODUCTION""; ""TOPOLOGICAL PREPARATIONS""; ""PART I. THE COHOMOLOGY THEORY 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 Ï?-module""; ""6. The sheaf A(Ï?*(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 Ï?-modules""""10. Polynomials""; ""11. General properties of H[sup(t)](M)""; ""12. General properties of H[sup(t)](X[sub(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 X[sub(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""Memoirs of the American Mathematical Society ;33.Homology theoryAlgebraic topologySheaf theoryHomology theory.Algebraic topology.Sheaf theory.Snapper Ernst1913-2011,42077MiAaPQMiAaPQMiAaPQBOOK9910788619403321Cohomology theory and algebraic correspondences3743117UNINA