Download E-books Iterated Integrals and Cycles on Algebraic Maniforlds (Nankai Tracts in Mathematics, Vol. 7) PDF

By Bruno Harris

This topic has been of significant curiosity either to topologists and to quantity theorists. the 1st a part of this publication describes a few of the paintings of Kuo-Tsai Chen on iterated integrals and the elemental workforce of a manifold. the writer makes an attempt to make his exposition available to starting graduate scholars. He then proceeds to use Chen's structures to algebraic geometry, exhibiting how this ends up in a few effects on algebraic cycles and the Abel-Jacobi homomorphism. ultimately, he offers a extra normal perspective pertaining to Chen's integrals to a generalization of the concept that of linking numbers, and finally ends up with a brand new invariant of homology sessions in a projective algebraic manifold. The ebook relies on a direction given by means of the writer on the Nankai Institute of arithmetic within the fall of 2001.

Show description

Read Online or Download Iterated Integrals and Cycles on Algebraic Maniforlds (Nankai Tracts in Mathematics, Vol. 7) PDF

Similar Algebraic Geometry books

The Unreal Life of Oscar Zariski

The 1st biography of Oscar Zariski - arguably one of many maximum mathematicians of the 20 th century. established principally on interviews with Zariski, his kinfolk, and his colleagues, it incorporates a precis of a few of his pioneering paintings in addition to his own heritage which spans approximately eighty years and covers lots of the globe.

Using Algebraic Geometry (Graduate Texts in Mathematics)

The invention of latest algorithms for facing polynomial equations, and their implementation on quickly, reasonably cheap desktops, has revolutionized algebraic geometry and resulted in intriguing new purposes within the box. This booklet info many makes use of of algebraic geometry and highlights contemporary functions of Grobner bases and resultants.

Basic Algebraic Geometry 2: Schemes and Complex Manifolds

Quantity 2: Schemes and complicated Manifolds, covers generalizations in diverse instructions of the affine and projective forms that shape the fabric for the 1st quantity. Discusses the origins of algebraic geometry. Paper. DLC: Geometry - Algebraic.

Extra resources for Iterated Integrals and Cycles on Algebraic Maniforlds (Nankai Tracts in Mathematics, Vol. 7)

Show sample text content

Rated 4.27 of 5 – based on 49 votes