Introduction to Intersection Theory in Algebraic Geometry Book

Introduction to Intersection Theory in Algebraic Geometry


  • Author : William Fulton
  • Publisher : American Mathematical Soc.
  • Release Date : 1984
  • Genre: Mathematics
  • Pages : 82
  • ISBN 10 : 9780821807040

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Introduction to Intersection Theory in Algebraic Geometry Excerpt :

This book introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. It requires little technical background: much of the material is accessible to graduate students in mathematics. A broad survey, the book touches on many topics, most importantly introducing a powerful new approach developed by the author and R. MacPherson. It was written from the expository lectures delivered at the NSF-supported CBMS conference at George Mason University, held June 27-July 1, 1983.The author describes the construction and computation of intersection products by means of the geometry of normal cones. In the case of properly intersecting varieties, this yields Samuel's intersection multiplicity; at the other extreme it gives the self-intersection formula in terms of a Chern class of the normal bundle; in general it produces the excess intersection formula of the author and R. MacPherson. Among the applications presented are formulas for degeneracy loci, residual intersections, and multiple point loci; dynamic interpretations of intersection products; Schubert calculus and solutions to enumerative geometry problems; and Riemann-Roch theorems.

At the Intersection Book

At the Intersection


  • Author : Robert Longwell-Grice
  • Publisher : Stylus Publishing, LLC
  • Release Date : 2021-05-03
  • Genre: Education
  • Pages : 372
  • ISBN 10 : 9781642670639

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At the Intersection Excerpt :

The experiences of first-generation college students are not monolithic. The nexus of identities matter, and this book is intended to challenge the reader to explore what it means to be a first-generation college student in higher education. Designed for use in classrooms and for use by the higher education practitioner on a college campus today, At the Intersections will be of value to the reader throughout their professional career. The book is divided into four parts with chapters of research and theory interspersed with thought pieces to provide personal stories to integrate the research and theory into lived experience. Each thought piece ends with questions to inspire readers to engage with the topic. Part One: Who is a First-generation College Student? provides the reader an entrée into the topic, with up-to-date data on both four-year and two-year colleges. Part One ends with a thought piece that asks the reader to pull together some of the big ideas before moving on to look more closely at students’ identities. Part Two: The Intersection of Identity shares the research, experience and thoughts of authors in relation to the individual and overlapping identities of LGBT, low-income, white, African-American, Latinx, Native American, undocumented, female, and male students who are all also first-generation college students. Part Three: Programs and Practices is an introduction to practices, policies and programs across the country. This section offers promise and direction for future work as institutions try to find a successful array of approaches to make the campus an inclusive place for the diverse population of first-generation college students.

Joins and Intersections Book

Joins and Intersections


  • Author : H. Flenner
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Mathematics
  • Pages : 301
  • ISBN 10 : 9783662038178

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Joins and Intersections Excerpt :

Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co workers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have ex cess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algeb raic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to inter sections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theorem for improper intersections. It was developed together with J. Stiickrad and involved a refined version of the classical technique ofreduc tion to the diagonal: here one starts with the join variety and intersects with successive hyperplanes in general position, laying aside components which fall into the diagonal and intersecting the residual scheme with the next hyperplane; since all the hyperplanes intersect in the diagonal, the process terminates.

Conical Intersections Book

Conical Intersections


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2022-11-28
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : 9789814397933

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Intersections of Random Walks Book

Intersections of Random Walks


  • Author : Gregory F. Lawler
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-11-06
  • Genre: Mathematics
  • Pages : 223
  • ISBN 10 : 9781461459729

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Intersections of Random Walks Excerpt :

A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally published in 1991, Intersections of Random Walks focuses on and explores a number of problems dealing primarily with the nonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics include: discrete harmonic measure, including an introduction to diffusion limited aggregation (DLA); the probability that independent random walks do not intersect; and properties of walks without self-intersections. The present softcover reprint includes corrections and addenda from the 1996 printing, and makes this classic monograph available to a wider audience. With a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probability and statistical physics and to graduate students interested in basic properties of random walks.

Interactions and Intersections of Gendered Bodies at Work  at Home  and at Play Book

Interactions and Intersections of Gendered Bodies at Work at Home and at Play


  • Author : Marcia Texler Segal
  • Publisher : Emerald Group Publishing
  • Release Date : 2010-07-16
  • Genre: Social Science
  • Pages : 401
  • ISBN 10 : 9781849509442

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Interactions and Intersections of Gendered Bodies at Work at Home and at Play Excerpt :

Includes articles that examine the intersection of gender with other characteristics in a variety of settings including factory floors and corporate offices, welfare offices, state legislatures, the armed forces, universities, social clubs and playing fields.

Annual Report of the City Engineer Book

Annual Report of the City Engineer


  • Author : Milwaukee (Wis.). Engineer's Office
  • Publisher : Unknown
  • Release Date : 1894
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : HARVARD:LI26M9

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Annual Report of the City Engineer Excerpt :

Intersection Book

Intersection


  • Author : Paul Guimard
  • Publisher : Unknown
  • Release Date : 1994
  • Genre: Uncategoriezed
  • Pages : 87
  • ISBN 10 : 0140231234

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Intersection Excerpt :