Representations of fundamental groups of algebraic varieties /
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| Author / Creator: | Zuo, Kang, 1955- |
|---|---|
| Imprint: | Berlin ; New York : Springer, c1999. |
| Description: | viii, 135 p. ; 24 cm. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1708 Lecture notes in mathematics (Springer-Verlag) ; 1708. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4154292 |
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| 100 | 1 | |a Zuo, Kang, |d 1955- |0 http://id.loc.gov/authorities/names/n99254791 |1 http://viaf.org/viaf/5789144 | |
| 245 | 1 | 0 | |a Representations of fundamental groups of algebraic varieties / |c Kang Zuo. |
| 260 | |a Berlin ; |a New York : |b Springer, |c c1999. | ||
| 300 | |a viii, 135 p. ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1708 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g 1. |t Introduction -- |g 2. |t Preliminaries. |g 2.1. |t Review of Algebraic groups over arbitrary fields. |g 2.2. |t Representations of fundamental groups and Moduli spaces. |g 2.3. |t p-adic norm on a vector space and Bruhat-Tits buildings -- |g 3. |t Harmonic metrics on flat vector bundles. |g 3.1. |t Pluriharmonic maps of finite energy. |g 3.2. |t Pluriharmonic maps of possibly infinite energy but with controlled growth at infinity -- |g 4. |t Non-abelian Hodge theory, factorization theorems for non rigid or p-adic unbounded representations. |g 4.1. |t Higgs bundles for archimedean representations and equivariant holomorphic 1-forms for p-adic representations. |g 4.2. |t Albanese maps and a Lefschetz type theorem for holomorphic 1-forms. |g 4.3. |t Factorizations for nonrigid representations into almost simple complex algebraic groups. |g 4.4. |t Factorizations for p-adic unbounded representations into almost simple p-adic algebraic groups. |g 4.5. |t Simpson's construction of families of nonrigid representations -- |g 5. |t Shafarevich maps for representations of fundamental groups, Kodaira dimension and Chern-hyperbolicity of Shafarevich varieties. |g 5.1. |t Shafarevich maps and general discussions. |g 5.2. |t Constructing automorphic forms via equivariant pluriharmonic maps into Bruhat-Tits building. |g 5.3. |t Kodaira dimension and Chern-hyperbolicity of Shafarevich varieties. |g 5.4. |t A finiteness property of representations of fundmantal groups of algebraic surfaces, which contain configurations of rational curves. |
| 650 | 0 | |a Algebraic varieties. |0 http://id.loc.gov/authorities/subjects/sh85003439 | |
| 650 | 0 | |a Representations of groups. |0 http://id.loc.gov/authorities/subjects/sh85112944 | |
| 650 | 7 | |a Algebraic varieties. |2 fast |0 http://id.worldcat.org/fast/fst00804944 | |
| 650 | 7 | |a Representations of groups. |2 fast |0 http://id.worldcat.org/fast/fst01094938 | |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1708. | |
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| 928 | |t Library of Congress classification |a QA564.Z86 1999 |l Eck |c Eck-Eck |i 4218368 | ||
| 927 | |t Library of Congress classification |a QA564.Z86 1999 |l Eck |c Eck-Eck |b 55348675 |i 6628680 | ||