| 000 | 03021nam a22004697a 4500 | ||
|---|---|---|---|
| 001 | sulb-eb0022591 | ||
| 003 | BD-SySUS | ||
| 005 | 20160413122308.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130609s2013 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461466574 _9978-1-4614-6657-4 |
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| 024 | 7 |
_a10.1007/978-1-4614-6657-4 _2doi |
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| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
|
| 072 | 7 |
_aMAT022000 _2bisacsh |
|
| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aHida, Haruzo. _eauthor. |
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| 245 | 1 | 0 |
_aElliptic Curves and Arithmetic Invariants _h[electronic resource] / _cby Haruzo Hida. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
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| 300 |
_aXVIII, 450 p. _bonline resource. |
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| 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 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
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| 505 | 0 | _a1 Non-triviality of Arithmetic Invariants -- 2 Elliptic Curves and Modular Forms -- 3 Invariants, Shimura Variety and Hecke Algebra -- 4 Review of Scheme Theory -- 5 Geometry of Variety -- 6 Elliptic and Modular Curves over Rings.- 7 Modular Curves as Shimura Variety.- 8 Non-vanishing Modulo p of Hecke L–values.- 9 p-Adic Hecke L-functions and their μ-invariants.- 10 Toric Subschemes in a Split Formal Torus -- 11 Hecke Stable Subvariety is a Shimura Subvariety -- References -- Symbol Index -- Statement Index -- Subject Index. | |
| 520 | _aThis book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including μ-invariant, L-invariant, and similar topics. This book can be regarded as an introductory text to the author's previous book p-Adic Automorphic Forms on Shimura Varieties. Written as a down-to-earth introduction to Shimura varieties, this text includes many examples and applications of the theory that provide motivation for the reader. Since it is limited to modular curves and the corresponding Shimura varieties, this book is not only a great resource for experts in the field, but it is also accessible to advanced graduate students studying number theory. Key topics include non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; scheme theory; elliptic and modular curves over rings; and Shimura curves. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebraic geometry. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aNumber Theory. |
| 650 | 2 | 4 | _aAlgebraic Geometry. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461466567 |
| 830 | 0 |
_aSpringer Monographs in Mathematics, _x1439-7382 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-6657-4 |
| 912 | _aZDB-2-SMA | ||
| 942 |
_2Dewey Decimal Classification _ceBooks |
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| 999 |
_c44683 _d44683 |
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