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By Walker R. J.

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Ciliberto, A. Lanteri, C. ) © Walter de Gruyter 2002 26 L. 3. 4. K-cohomology and motivic cohomology 5. 1. 2. Srinivas’ example 51 53 55 55 56 0. Introduction Let X be an algebraic C-scheme. The singular cohomology groups H ∗ (X, Z(·)) carry a mixed Hodge structure, see [11, III]. , those having non-zero Hodge numbers in the set {(0, 0), (0, −1), (−1, 0), (−1, −1)}. Therefore, these cohomological invariants of algebraic varieties would be algebraically defined as 1-motives over arbitrary base fields or schemes.

3. 4. Local-to-global properties 45 4. 1. 2. Coniveau filtration 49 Algebraic Geometry. A Volume in Memory of Paolo Francia M. C. Beltrametti, F. Catanese, C. Ciliberto, A. Lanteri, C. ) © Walter de Gruyter 2002 26 L. 3. 4. K-cohomology and motivic cohomology 5. 1. 2. Srinivas’ example 51 53 55 55 56 0. Introduction Let X be an algebraic C-scheme. The singular cohomology groups H ∗ (X, Z(·)) carry a mixed Hodge structure, see [11, III]. , those having non-zero Hodge numbers in the set {(0, 0), (0, −1), (−1, 0), (−1, −1)}.

77 (1980), 99–106. [FH] W. Fulton and J. Hansen, A connectedness theorem for projective varieties with applications to intersections and singularities of mappings, Ann. of Math. 110 (1979), 159–166. [FL1] W. Fulton and R. Lazarsfeld, Connectivity and its applications in algebraic geometry, in: Lecture Notes in Math. 862, Springer-Verlag, Berlin–Heidelberg–New York 1981, 26–92. [FL2] W. , Lazarsfeld, Positivity and excess intersection, in: Enumerative Geometry and Classical Algebraic Geometry, Progr.

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Algebraic Curves by Walker R. J.


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