Last edited by Yozshuzuru

Friday, May 15, 2020 | History

7 edition of **Iterated integrals and cycles on algebraic manifolds** found in the catalog.

- 306 Want to read
- 8 Currently reading

Published
**2004**
by World Scientific in Singapore
.

Written in English

- Integrals,
- Algebraic cycles,
- Algebraic number theory,
- Manifolds (Mathematics),
- Geometry, Algebraic

**Edition Notes**

Statement | Bruno Harris. |

Series | Nankai tracts in mathematics -- v. 7 |

Contributions | Chen, K.-T. 1923-1987. |

Classifications | |
---|---|

LC Classifications | QA310 .H27 2004 |

The Physical Object | |

Pagination | xii, 108 : |

Number of Pages | 108 |

ID Numbers | |

Open Library | OL22650752M |

ISBN 10 | 981238720X |

ISBN 10 | 9789812387202 |

LC Control Number | 2006296476 |

Book by Harris Interated integrals and cycles on algebraic manifolds. In folder AG/Various. nLab page on Iterated integral. Created on . In the previous talk, we discussed the algebraic de Rham theory for unipotent fundamental groups of elliptic curves. In this talk, we generalize it to a Q-de Rham theory for the relative completion of the modular group, the (orbifold) fundamental group of the modular curve. Using Chen's method of power series connections, we construct a connection on the modular curve that.

This tag is for questions relating to iterated integrals. In calculus, an iterated integral is the result of applying integrals to a function of more than one variable (for example, $~f(x,y)~$ or $~f(x,y,z)~$) in a way that each of the integrals considers some of . In summary, "Calculus on Manifolds" is a book of historical interest and reading it is part of becoming immersed in the "culture" of mathematics. Furthermore, the ideas that appear in "Calculus on Manifolds" form the nucleus of the modern mathematician's conception of differentiable by:

Physics. He is author of \Iterated Integrals and Cycles on Algebraic Manifolds", Nankai Tracts in Mathematics. vol.7, (World Scienti c ). Mathematics Department, Brown University, Providence, RI , USA E-mail address: [email protected] On the Periods of Integrals on Algebraic Manifolds. Name: Size: Mb Format: PDF. View/ Open. Author. Griffiths, Phillip A. Date Citation. Griffiths, Phillip A.. "On the Periods of Integrals on Algebraic Manifolds."Cited by: 7.

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Iterated integrals and cycles on algebraic manifolds. Singapore ; River Edge, NJ: World Scientific, © (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Bruno Harris; K -T Chen.

ISBN: X OCLC Number: Notes: "Part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold.

This subject has been of great interest both to topologists and to number theorists. The first part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make.

This subject has been of great interest both to topologists and to number theorists. The first part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make his.

The theme of this article is the connection between the pro-unipotent fundamen-tal group π1(X; o) of a pointed algebraic curve X, algebraic cycles, iterated integrals, and special values of L Author: Richard Hain. Iterated integrals are used in topology to study the fundamental group of a manifold.

They are also used to express Euler’s multiple zeta values as (iter-ated) integrals. Manin has used such technique to construct non-commutative modular symbol. The heart of the book studies applications of a higher dimensional analogue.

In mathematics, an algebraic manifold is an algebraic variety which is also a such, algebraic manifolds are a generalisation of the concept of smooth curves and surfaces defined by example is the sphere, which can be defined as the zero set of the polynomial x 2 + y 2 + z 2 – 1, and hence is an algebraic variety.

For an algebraic manifold, the ground field. Lectures on Curves on an Algebraic Surface. (AM), Volume 59 - Ebook written by David Mumford. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Lectures on Curves on an Algebraic Surface.

(AM), Volume Iterated Integrals and Cycles on Algebraic Manifolds 作者: Harris, Bruno/ Chen, K. t 出版社: World Scientific Pub Co Inc 页数: 定价: 元 装帧: HRD 丛书:. Iterated Integrals and Algebraic Cycles: Examples and Prospects (R Hain) Chen's Interated Integrals and Algebraic Cycles (B Harris) On Algebraic Fiber Spaces (Y Kawamata) Local Holomorphic Isometric Embeddings Arising from Correspondences in the Rank-1.

This paper is for the proceedings of the Chen-Chow Conference held in Tianjin, China in October The goal of the paper is to produce and survey evidence for a connection between Chen's work on iterated integrals on the one hand, and algebraic cycles and motives on the other. The paper is expository, and begins with an introduction to Chen's work.

Topics Cited by: Bull. Amer. Math. Soc. Vol Number 2 (), Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems.

Contemporary Trends In Algebraic Geometry And Algebraic Topology by Shiing-shen Chern,available at Book Depository with free delivery worldwide. Periods of integrals on algebraic manifolds, III (some global differential-geometric properties of the period mapping) Phillip A.

Griffiths Publications Mathématiques de l'Institut des Hautes Études Scientifiques vol pages – ()Cite this articleCited by: 5. My book Iterated Integrals and Cycles on Algebraic Manifolds (Nankai Tracts in Mathematics, Vol. 7, World Scientific Publishing, ) describes some of the work in #3 and #4 (above) with further developments.

The book is based on a course I gave at the Nankai Mathematical Institute during fall semester Hain's commutator formula for iterated integrals.

Ask Question Asked 3 years the best source might by Chen's paper (Iterated path integrals), but there is also a nice old book by Hain (Iterated integrals and homotopy periods). Browse other questions tagged algebraic-geometry algebraic-topology manifolds iterated-integrals or ask your.

ALGEBRAIC CYCLES AND MOTIVIC GENERIC ITERATED INTEGRALS Hidekazu Furusho and Amir Jafari Abstract. Following [GGL1], we will give a combinatorial framework for motivic study of iterated integrals on the aﬃne line.

We will show that under a certain genericity condition these combinatorial objects yield to elements in the motivic Hopf algebra. He has been Visiting Professor at Princeton in and at Nankai University (China) in His research area is Geometry and he has published a book "Iterated Integrals and Cycles on Algebraic Manifolds" (based on his course at Nankai), in In the Mathematics department he has served as chairman and in other positions.

Iterated Integrals and Cycles on Algebraic Manifolds Harris, Bruno/ Chen, K. t / World Scientific Pub Co Inc / 元 (目前无人评价) Minimal Submanifolds and Related Topics Xin, Yuanlong / World Scientific Publishing Co Pte Ltd / / $ (目前无人评价) The Bernstein problem and the Plateau problem are central topics in.

PERIODS OF INTEGRALS ON ALGEBRAIC MANIFOLDS, I. (Construction and Properties of the Modular Varieties) By PHILLIP A. GRIFFITHS.* I. Introduction. (a) The general problem we have in mind is to investigate the periods of integrals on an algebraic variety V defined over a function field 5. In practice, this will mean that we are given an algebraic.

PERIODS OF INTEGRALS ON ALGEBRAIC MANIFOLDS, III the maximum principle is used to show that certain differential equations are satisfied, rather than to show that a.ON THE PERIODS OF INTEGRALS ON ALGEBRAIC MANIFOLDS": Tliis is a summary of some results in the transcendental theory of algebraic varieties.

Tlie problem is to analyze the periods, as functio~is of the para- meters, in an algebraic family of algebraic manifolds. The following is a brief outline of this work.•In calculus, an iterated integral is the result of applying integrals to a function of more than one variable (for example f(x,y) or f(x,y,z)) in a way that each of the integrals considers some of the variables as given constants.