## Download Algebraic Geometry: A Volume in Memory of Paolo Francia by Paolo Francia, Fabrizio Catanese, C. Ciliberto, A. Lanteri, PDF

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

Eighteen papers, many drawing from displays on the September 2001 convention in Genova, disguise quite a lot of algebraic geometry. specific cognizance is paid to raised dimensional forms, the minimum version application, and surfaces of the overall kind. a listing of Francia's guides is integrated. individuals contain mathematicians from Europe, the us, Japan, and Brazil

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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. We also construct generalized cycle class maps from the (Quillen) K-cohomology groups H p+i (Kp ) to the sub-quotiens W2p H 2p+i /W2p−2 given by the weight ﬁltration.

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. We also construct generalized cycle class maps from the (Quillen) K-cohomology groups H p+i (Kp ) to the sub-quotiens W2p H 2p+i /W2p−2 given by the weight ﬁltration.

RVdV] R. Remmert and A. Van de Ven, Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten, Topology 2 (1963), 137–157. -P. Serre, Géométrie algébrique et géométrie analytique, Ann. Inst. Fourier 6 (1955), 1–42. [Se] F. Severi, Alcune proprietà fondamentali dell’insieme dei punti singolari di una funzione analitica di più variabili, Mem. Accad. Ital. 3 (1932). [So] A. J. Ann. 233 (1978), 229–256. [Sp] R. Speiser, Cohomological dimension and abelian varieties, Amer. J. Math. 95 (1973), 1–34.