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| 001 | ocn934433896 | ||
| 003 | OCoLC | ||
| 005 | 20220908100105.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 160111s2016 nju ob 001 0 eng d | ||
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_a516.3/52 _223 |
| 049 | _aMAIN | ||
| 100 | 1 |
_aTretkoff, Paula, _d1957- _eauthor. _964672 |
|
| 245 | 1 | 0 |
_aComplex ball quotients and line arrangements in the projective plane / _cPaula Tretkoff. |
| 264 | 1 |
_aPrinceton : _bPrinceton University Press, _c[2016] |
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| 264 | 4 | _c�2016 | |
| 300 | _a1 online resource | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aMathematical notes ; _v51 |
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| 504 | _aIncludes bibliographical references and index. | ||
| 588 | 0 | _aPrint version record. | |
| 505 | 0 | 0 |
_tFrontmatter -- _tContents -- _tPreface -- _tIntroduction -- _tChapter One. Topological Invariants and Differential Geometry -- _tChapter Two. Riemann Surfaces, Coverings, and Hypergeometric Functions -- _tChapter Three. Complex Surfaces and Coverings -- _tChapter Four. Algebraic Surfaces and the Miyaoka-Yau Inequality -- _tChapter Five. Line Arrangements in P2(C) and Their Finite Covers -- _tChapter Six. Existence of Ball Quotients Covering Line Arrangements -- _tChapter Seven. Appell Hypergeometric Functions -- _tAppendix A. Torsion-Free Subgroups of Finite Index by Hans-Christoph Im Hof -- _tAppendix B. Kummer Coverings -- _tBibliography -- _tIndex. |
| 520 | _aThis 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 Z�urich 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 | _aIn English. | ||
| 590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
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| 650 | 0 |
_aCurves, Elliptic. _921219 |
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| 650 | 0 |
_aGeometry, Algebraic. _927916 |
|
| 650 | 0 |
_aProjective planes. _964673 |
|
| 650 | 0 |
_aUnit ball. _964674 |
|
| 650 | 0 |
_aRiemann surfaces. _964675 |
|
| 650 | 6 |
_aCourbes elliptiques. _964676 |
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| 650 | 6 |
_aG�eom�etrie alg�ebrique. _964634 |
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| 650 | 6 |
_aPlans projectifs. _964677 |
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| 650 | 6 |
_aBoule unit�e. _964678 |
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| 650 | 6 |
_aSurfaces de Riemann. _964679 |
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| 650 | 7 |
_aMATHEMATICS _xGeometry _xGeneral. _2bisacsh _97661 |
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| 650 | 7 |
_aCurves, Elliptic. _2fast _0(OCoLC)fst00885455 _921219 |
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| 650 | 7 |
_aGeometry, Algebraic. _2fast _0(OCoLC)fst00940902 _927916 |
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| 650 | 7 |
_aProjective planes. _2fast _0(OCoLC)fst01078840 _964673 |
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| 650 | 7 |
_aRiemann surfaces. _2fast _0(OCoLC)fst01097801 _964675 |
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| 650 | 7 |
_aUnit ball. _2fast _0(OCoLC)fst01161416 _964674 |
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| 655 | 4 |
_aElectronic books. _93294 |
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| 776 | 0 | 8 |
_iPrint version: _aTretkoff, Paula, 1957- _tComplex ball quotients and line arrangements in the projective plane _z9780691144771 _w(DLC) 2015016120 _w(OCoLC)907948438 |
| 830 | 0 |
_aMathematical notes ; _v51. _964680 |
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| 856 | 4 | 0 | _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452449 |
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