| 000 | 02472nam a22004098i 4500 | ||
|---|---|---|---|
| 001 | CR9781316995846 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160209.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 160725s2017||||enk o ||1 0|eng|d | ||
| 020 | _a9781316995846 (ebook) | ||
| 020 | _z9781108422628 (hardback) | ||
| 020 | _z9781316639566 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA564 _b.C28 2017 |
| 082 | 0 | 0 |
_a516.3/5 _223 |
| 100 | 1 |
_aCarlson, James A., _d1946- _eauthor. |
|
| 245 | 1 | 0 |
_aPeriod mappings and period domains / _cJames Carlson, Stefan Müller-Stach, Chris Peters. |
| 250 | _aSecond edition. | ||
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2017. |
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| 300 |
_a1 online resource (xiv, 562 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v168 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 30 Aug 2017). | ||
| 520 | _aThis up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kähler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties. | ||
| 650 | 0 | _aGeometry, Algebraic. | |
| 650 | 0 | _aHodge theory. | |
| 650 | 0 | _aTorelli theorem. | |
| 700 | 1 |
_aMüller-Stach, Stefan, _d1962- _eauthor. |
|
| 700 | 1 |
_aPeters, Chris, _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781108422628 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v168. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/9781316995846 |
| 999 |
_c515619 _d515617 |
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