## Existence of Ball Quotients Covering Line Arrangements

*Paula Tretkoff*

### in Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

- Published in print:
- 2016
- Published Online:
- October 2017
- ISBN:
- 9780691144771
- eISBN:
- 9781400881253
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691144771.003.0007
- Subject:
- Mathematics, Geometry / Topology

This chapter justifies the assumption that ball quotients covering line arrangements exist. It begins with the general case on the existence of finite covers by ball quotients of weighted ... More

## Numerical algorithms

*Christopher G. Small and Jinfang Wang*

### in Numerical Methods for Nonlinear Estimating Equations

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198506881
- eISBN:
- 9780191709258
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506881.003.0003
- Subject:
- Mathematics, Probability / Statistics

This chapter surveys a variety of root-finding and hill-climbing algorithms that are useful for solving estimating equations or maximizing artificial likelihoods, starting with a basic technique ... More

## Introduction

*Paula Tretkoff*

### in Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

- Published in print:
- 2016
- Published Online:
- October 2017
- ISBN:
- 9780691144771
- eISBN:
- 9781400881253
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691144771.003.0001
- Subject:
- Mathematics, Geometry / Topology

This chapter explains that the book deals with quotients of the complex 2-ball yielding finite coverings of the projective plane branched along certain line arrangements. It gives a complete list of ... More

## Mathematical Work of Nigel Hitchin

*Sir Michael Atiyah*

### in The Many Facets of Geometry: A Tribute to Nigel Hitchin

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199534920
- eISBN:
- 9780191716010
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534920.003.0002
- Subject:
- Mathematics, Geometry / Topology

This chapter reviews selected topics covered in Nigel Hitchin's papers. These include his introduction of the spectral curve of a magnetic monopole, the introduction by Nigel of ‘Higgs bundles’ in ... More

## Respiration in aquatic ecosystems: history and background

*Peter J. le B. Williams and Paul A. del Giorgio*

### in Respiration in Aquatic Ecosystems

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198527084
- eISBN:
- 9780191713347
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198527084.003.0001
- Subject:
- Biology, Aquatic Biology

This introductory chapter presents a general historical, biochemical, and ecological background to the topics covered in this book, and sets the following chapters in a broad context. The various ... More

## Line Arrangements in P2(C) and Their Finite Covers

*Paula Tretkoff*

### in Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

- Published in print:
- 2016
- Published Online:
- October 2017
- ISBN:
- 9780691144771
- eISBN:
- 9781400881253
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691144771.003.0006
- Subject:
- Mathematics, Geometry / Topology

This chapter discusses the free 2-ball quotients arising as finite covers of the projective plane branched along line arrangements. It first considers a surface X obtained by blowing up the singular ... More

## Theories, Sites, Toposes: Relating and studying mathematical theories through topos-theoretic 'bridges'

*Olivia Caramello*

- Published in print:
- 2017
- Published Online:
- March 2018
- ISBN:
- 9780198758914
- eISBN:
- 9780191818752
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198758914.001.0001
- Subject:
- Mathematics, Geometry / Topology, Pure Mathematics

This book is devoted to a general study of geometric theories from a topos-theoretic perspective. After recalling the necessary topos-theoretic preliminaries, it presents the main methodology it uses ... More

## Metabolic and Hormonal Predictors of Obesity

*Frank B. Hu*

### in Obesity Epidemiology

- Published in print:
- 2008
- Published Online:
- September 2009
- ISBN:
- 9780195312911
- eISBN:
- 9780199865260
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195312911.003.0018
- Subject:
- Public Health and Epidemiology, Public Health, Epidemiology

This chapter reviews epidemiologic studies on metabolic and hormonal predictors of obesity. It focuses primarily on prospective cohort studies, first discussing metabolic predictors, including ... More

## Lead and the Roots of Environmental Controversies

*Moore Colleen F.*

### in Silent Scourge: Children, Pollution, and Why Scientists Disagree

- Published in print:
- 2003
- Published Online:
- March 2012
- ISBN:
- 9780195153910
- eISBN:
- 9780199846986
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195153910.003.0002
- Subject:
- Psychology, Health Psychology

This chapter examines the negative effects of lead exposure on children's development. Several studies have confirmed that lead exposure lowers children's intellectual quotient (IQ) test scores and ... More

## Our Genius Problem

*Marjorie Garber*

### in Loaded Words

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780823242047
- eISBN:
- 9780823242085
- Item type:
- chapter

- Publisher:
- Fordham University Press
- DOI:
- 10.5422/fordham/9780823242047.003.0011
- Subject:
- Literature, Criticism/Theory

What is a genius? And why does our culture have such an obsession with the word and with the idea? Genius is fundamentally an eighteenth-century concept, though it has had a good long run through the ... More