By Paolo Francia, Fabrizio Catanese, C. Ciliberto, A. Lanteri, C. Pedrini, Mauro Beltrametti
Eighteen papers, many drawing from shows on the September 2001 convention in Genova, conceal a variety of algebraic geometry. specific cognizance is paid to better dimensional kinds, the minimum version software, and surfaces of the final kind. a listing of Francia's guides is integrated. participants contain mathematicians from Europe, the USA, Japan, and Brazil
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Provides the lawsuits of a world convention on complicated geometry and similar themes, held in commemoration of the fiftieth anniversary of Osaka collage, Osaka, Japan. The textual content makes a speciality of the CR invariants, hyperbolic geometry, Yamabe-type difficulties, and harmonic maps.
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Additional info for Algebraic Geometry: A Volume in Memory of Paolo Francia
Ch1] W. L. Chow, On meromorphic maps of algebraic varieties, Ann. of Math. 89 (1969), 391–403. [Ch2] W. L. Chow, Formal functions on homogeneous spaces, Invent. Math. 86 (1986), 115–130. [De1] O. Debarre, Sur un théorème de connexité de Mumford pour les espaces homogènes, Manuscripta Math. 89 (1996), 407–425. [De2] O. Debarre, Fulton-Hansen and Barth-Lefschetz theorems for subvarieties of abelian varieties, J. Reine Angew. Math. 467 (1995), 187–197. 22 L. B˘adescu and M. Schneider [F1] G. Faltings, Formale Geometrie und homogene Räume, Invent.
Recall that the weight ﬁltration on H ∗ (X, Q) is given by the canonical spectral sequence of mixed Q-Hodge structures · E1s,t = H t (Xs ) ⇒ Hs+t (X ) · for any smooth and proper hypercovering π : X → X and universal cohomological descent H ∗ (X) ∼ = H∗ (X ) (see ). In fact, the spectral sequence degenerates at E2 . Denote (H t )• the complexes E1·,t of E1 -terms. We clearly have · t+i H i ((H t )• ) = gr W (X). t H Consider the complexes (N l H t )• induced from the coniveau ﬁltration N l H t (Xi ) on the components Xi of the simplicial scheme X .
Ann. 233 (1978), 229–256. [Sp] R. Speiser, Cohomological dimension and abelian varieties, Amer. J. Math. 95 (1973), 1–34. [Z] O. Zariski, Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground ﬁelds, Mem. Amer. Math. Soc. 5, Amer. Math. , Providence, RI, 1951. L. O. ro On algebraic 1-motives related to Hodge cycles Luca Barbieri-Viale Abstract. The goal of this paper is to introduce Hodge 1-motives of algebraic varieties and to state a corresponding cohomological Grothendieck–Hodge conjecture, generalizing the classical Hodge conjecture to arbitrarily singular proper schemes.
Algebraic Geometry: A Volume in Memory of Paolo Francia by Paolo Francia, Fabrizio Catanese, C. Ciliberto, A. Lanteri, C. Pedrini, Mauro Beltrametti