By Paolo Francia, Fabrizio Catanese, C. Ciliberto, A. Lanteri, C. Pedrini, Mauro Beltrametti

ISBN-10: 3110171805

ISBN-13: 9783110171808

Eighteen papers, many drawing from displays on the September 2001 convention in Genova, conceal quite a lot of algebraic geometry. specific recognition is paid to raised dimensional types, the minimum version software, and surfaces of the overall sort. an inventory of Francia's guides is integrated. participants comprise mathematicians from Europe, the us, Japan, and Brazil

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**Extra resources for Algebraic Geometry: A Volume in Memory of Paolo Francia**

**Example text**

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.

### Algebraic Geometry: A Volume in Memory of Paolo Francia by Paolo Francia, Fabrizio Catanese, C. Ciliberto, A. Lanteri, C. Pedrini, Mauro Beltrametti

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4.3

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Categories: Algebraic Geometry