By Mauro C. Beltrametti, Fabrizio Catanese, Ciro Ciliberto
The papers during this quantity hide a large spectrum of algebraic geometry, from factors thought to numerical algebraic geometry and are commonly concerned with greater dimensional kinds and minimum version software and surfaces of normal style. part of the articles grew out of a convention in reminiscence of Paolo Francia held in Genova in September 2001 with nearly 70 contributors.
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Additional info for Algebraic Geometry: A Volume in Memory of Paolo Francia ( De Gruyter Proceedings in Mathematics )
224 , Springer-Verlag, Berlin 1971. [SOA2] A. Orothendieck, Cohomologie locale des faisceaux coherents et theoremes de Lefschetz locaux et globaux, North Holland, Amsterdam 1968. [Ha I] R. Hartshorne, Ample Subvarieties of Algebraic Varieties, Lecture Notes in Math. 156, Springer-Verlag, Berlin 1970. [Ha2] R. Hartshorne, Cohomological dimension of algebraic varieties, Ann. of Math. 88 ( 1968), 403-450. [H) H. Hironaka, On some fonnal embeddings, IllinoisJ. Math. 12 (1968), 587-602. [HM] H. Hironaka and H.
Jt -8 x and Jtx. Jt-8 x. as above. There are left exact functors Jlx ~ f(X, Jlx) and ~ Jtx. , then • • If "+1 · · · ~ H'(X, Jlx) ~ H'(X, Rx) ~ H' ' (X, Rx) ~ · · · is exact in MHS 00 , and respectively for the cohomology of X. : moreover, in the latter case we have a spectral sequence Ef'q = Hq (Xp. Jlxp) =? > xEX ~ Z2 ~ 0 44 L. Barbieri-Viale and so on. Jl-8: the canonicaliQ-mixed ftasque resolution. If Jl x is ftasque then r (X, Jlx) has a canonical IQ-mixed Hodge structure as claimed above; note that the filtrations would be given by ftasque sub-sheaves.
RVdV] R. Remmert and A. Van de Ven, Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten, Topology 2 (1963), 137-157. -P. Serre, Geometrie algebrique et geometrie analytique, Ann. Inst. Fourier 6 (1955), 1-42. [Se] F. Severi, Alcune proprieta fondamentali dell'insieme dei punti singolari di una funzione analitica di piu variabili, Mem. Accad. Ital. 3 ( 1932). [So] A. J. Sommese, Submanifolds of abelian varieties, Math. Ann. 233 ( 1978), 229-256. [Sp] R. Speiser, Cohomological dimension and abelian varieties, Amer.