Download Algebraic Geometry: A Volume in Memory of Paolo Francia ( De by Mauro C. Beltrametti, Fabrizio Catanese, Ciro Ciliberto PDF

By Mauro C. Beltrametti, Fabrizio Catanese, Ciro Ciliberto

The papers during this quantity hide a large spectrum of algebraic geometry, from reasons idea to numerical algebraic geometry and are more often than not excited about better dimensional forms 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 individuals.

Show description

Read Online or Download Algebraic Geometry: A Volume in Memory of Paolo Francia ( De Gruyter Proceedings in Mathematics ) PDF

Similar algebraic geometry books

Algebraic geometry: an introduction to birational geometry of algebraic varieties

The purpose of this publication is to introduce the reader to the geometric thought of algebraic kinds, specifically to the birational geometry of algebraic types. This quantity grew out of the author's e-book in eastern released in three volumes through Iwanami, Tokyo, in 1977. whereas penning this English model, the writer has attempted to arrange and rewrite the unique fabric in order that even novices can learn it simply with no relating different books, corresponding to textbooks on commutative algebra.

Sheaves in Topology

Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a novel house into gentle manifolds, an outstanding geometrical inspiration as a result of R. Thom and H. Whitney. those sheaves, generalizing the neighborhood platforms which are so ubiquitous in arithmetic, have strong functions to the topology of such singular areas (mainly algebraic and analytic complicated varieties).

Undergraduate algebraic geometry

Algebraic geometry is, primarily, the research of the answer of equations and occupies a primary place in natural arithmetic. With the minimal of must haves, Dr. Reid introduces the reader to the elemental techniques of algebraic geometry, together with: airplane conics, cubics and the gang legislation, affine and projective forms, and nonsingularity and size.

Vector Bundles on Complex Projective Spaces

Those lecture notes are meant as an advent to the tools of category of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as attainable now we have regularly constrained ourselves to the case X = Fn. in keeping with Serre (GAGA) the category of holomorphic vector bundles is reminiscent of the category of algebraic vector bundles.

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

Example text

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. J. Math. 95 (1973), 1-34. [Z] 0. Zariski, Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields.

See [ 12], [26] and [24] for a full overview) we may expect the following picture for non-singular algebraic varieties over a field k (algebraically closed of characteristic zero for simplicity). Let X be a smooth proper k-scheme. , gr~m CHP(X)Q depends only on the Grothendieck motive h 2 P-i (X). 1. , CHP(X)aJg ~ ker(CHP(X) --+ NS P(X)). , CH P (X) ab is the intersection of all kernels of regular homomorphisms from CH P ( X)aJg to abelian varieties. Assume the existence of a universal regular homomorphism pP : CHP(X)aJg --+ A~;k(k) to (the group of k-points) of an abelian variety A~/k defined over the base L.

Jannsen, M. D. Lewis, J. Murre, A. Rosenschon, M. Saito, C. Soule and V. Voevodsky for discussions on some matters treated herein. Finally, I would like to thank Paolo Francia for his helpful insight and invaluable guidance in the vast field of algebraic geometry by dedicating this paper to his memory. Note that this research was carried out with smooth efficiency thanks to several foundations. I would like to thank the Tata Institute of Fundamental Research and the Institut Henri Poincare for their support and hospitality.

Download PDF sample

Rated 4.24 of 5 – based on 4 votes