By Mauro C. Beltrametti, Fabrizio Catanese, Ciro Ciliberto

ISBN-10: 3110171805

ISBN-13: 9783110171808

The papers during this quantity disguise a large spectrum of algebraic geometry, from factors thought to numerical algebraic geometry and are more often than not interested in larger dimensional kinds and minimum version application and surfaces of normal sort. part of the articles grew out of a convention in reminiscence of Paolo Francia held in Genova in September 2001 with nearly 70 members.

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Additional resources for Algebraic Geometry: A Volume in Memory of Paolo Francia ( De Gruyter Proceedings in Mathematics )

Example text

P(X) => Hp+q(X) xeXP in the abelian category MHS 00 (cf. [ l ]). 47 On algebraic 1-motives related to Hodge cycles Consider X smooth over

However, in general, the image of this cycle map (as well as the image of the canonical map from motivic cohomology) is strictly smaller than the rational part of the Hodge filtration F P on H 2 P+i. 2000 Mathematics Subject Classification: 14F42, 14C30, 32S35, 19El5 0. 1. 2. 3. Towards Hodge mixed motives 30 I. 1. 2. Extensions 32 2. 1. 2. 3. Hodge conjecture for singular varieties 38 3. 1. 2. 3. 4. 1. 2. Coniveau filtration 49 4. Edge maps Algebraic Geometry. A Volume in Memory of Paolo Francia M.

Is well known that the image J[(X) ofCHP(X)atg into JP(X) yields a sub-torus of JP(X) which is an abelian variety: moreover, is known to be universal for p = 1, 2, dim(X) (see [32] and [33]). In the following, for the sake of simplicity, the reader can indeed assume that k = C and (iHiii) are satisfied by the first two steps of the filtration F,~,. In fact, for k = C, S. ) such a result (see [38, Prop. 1], cf [28] and [25]). Moreover, in the following, the reader could also avoid reference to the motivic filtration by dealing with the first two steps of the "algebraic" filtration F~ defined above.

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Algebraic Geometry: A Volume in Memory of Paolo Francia ( De Gruyter Proceedings in Mathematics ) by Mauro C. Beltrametti, Fabrizio Catanese, Ciro Ciliberto


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