Cargando…
Complex ball quotients and line arrangements in the projective plane /
This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. Paula Tretkoff emphasizes those finite covers that are free quotients of the complex two-dimensional ball. Tretkoff also includes background on...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
[2016]
|
| Colección: | Mathematical notes ;
51. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | JSTOR_ocn934433896 | ||
| 003 | OCoLC | ||
| 005 | 20231005004200.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 160111s2016 nju ob 001 0 eng d | ||
| 010 | |a 2015016120 | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d N$T |d IDEBK |d EBLCP |d YDXCP |d CDX |d JSTOR |d DEBSZ |d DEBBG |d IDB |d OCLCQ |d CUY |d IOG |d DEGRU |d MERUC |d OTZ |d OCLCQ |d WYU |d UKAHL |d OCLCQ |d UX1 |d IEEEE |d OCLCO |d OCLCQ |d SFB |d OCLCQ |d OCLCO | ||
| 019 | |a 979728671 |a 992886885 |a 1175635550 | ||
| 020 | |a 9781400881253 |q (electronic bk.) | ||
| 020 | |a 1400881250 |q (electronic bk.) | ||
| 020 | |z 9780691144771 | ||
| 020 | |z 069114477X | ||
| 024 | 7 | |a 10.1515/9781400881253 |2 doi | |
| 029 | 1 | |a AU@ |b 000057046071 | |
| 029 | 1 | |a DEBBG |b BV043712398 | |
| 029 | 1 | |a DEBBG |b BV043892846 | |
| 029 | 1 | |a DEBSZ |b 461175096 | |
| 029 | 1 | |a GBVCP |b 879460512 | |
| 035 | |a (OCoLC)934433896 |z (OCoLC)979728671 |z (OCoLC)992886885 |z (OCoLC)1175635550 | ||
| 037 | |a 22573/ctt1b9wfsm |b JSTOR | ||
| 037 | |a 9452449 |b IEEE | ||
| 050 | 4 | |a QA567.2.E44 |b T74 2016eb | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 072 | 7 | |a MAT000000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.3/52 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Tretkoff, Paula, |d 1957- |e author. | |
| 245 | 1 | 0 | |a Complex ball quotients and line arrangements in the projective plane / |c Paula Tretkoff. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c [2016] | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Mathematical notes ; |v 51 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Introduction -- |t Chapter One. Topological Invariants and Differential Geometry -- |t Chapter Two. Riemann Surfaces, Coverings, and Hypergeometric Functions -- |t Chapter Three. Complex Surfaces and Coverings -- |t Chapter Four. Algebraic Surfaces and the Miyaoka-Yau Inequality -- |t Chapter Five. Line Arrangements in P2(C) and Their Finite Covers -- |t Chapter Six. Existence of Ball Quotients Covering Line Arrangements -- |t Chapter Seven. Appell Hypergeometric Functions -- |t Appendix A. Torsion-Free Subgroups of Finite Index by Hans-Christoph Im Hof -- |t Appendix B. Kummer Coverings -- |t Bibliography -- |t Index. |
| 520 | |a This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. Paula Tretkoff emphasizes those finite covers that are free quotients of the complex two-dimensional ball. Tretkoff also includes background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function. The material in this book began as a set of lecture notes, taken by Tretkoff, of a course given by Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes were then considerably expanded by Hirzebruch and Tretkoff over a number of years. In this book, Tretkoff has expanded those notes even further, still stressing examples offered by finite covers of line arrangements. The book is largely self-contained and foundational material is introduced and explained as needed, but not treated in full detail. References to omitted material are provided for interested readers. Aimed at graduate students and researchers, this is an accessible account of a highly informative area of complex geometry. | ||
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Curves, Elliptic. | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 0 | |a Projective planes. | |
| 650 | 0 | |a Unit ball. | |
| 650 | 0 | |a Riemann surfaces. | |
| 650 | 6 | |a Courbes elliptiques. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 6 | |a Plans projectifs. | |
| 650 | 6 | |a Boule unité. | |
| 650 | 6 | |a Surfaces de Riemann. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Curves, Elliptic |2 fast | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Projective planes |2 fast | |
| 650 | 7 | |a Riemann surfaces |2 fast | |
| 650 | 7 | |a Unit ball |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Tretkoff, Paula, 1957- |t Complex ball quotients and line arrangements in the projective plane |z 9780691144771 |w (DLC) 2015016120 |w (OCoLC)907948438 |
| 830 | 0 | |a Mathematical notes ; |v 51. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1b9x15z |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH30141242 | ||
| 938 | |a Coutts Information Services |b COUT |n 33383069 | ||
| 938 | |a De Gruyter |b DEGR |n 9781400881253 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL4312672 | ||
| 938 | |a EBSCOhost |b EBSC |n 1090927 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis33383069 | ||
| 938 | |a YBP Library Services |b YANK |n 12759016 | ||
| 994 | |a 92 |b IZTAP | ||