| 000 | 02584nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-23979-3 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151601.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120104s2012 gw | s |||| 0|eng d | ||
| 020 |
_a9783642239793 _9978-3-642-23979-3 |
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| 024 | 7 |
_a10.1007/978-3-642-23979-3 _2doi |
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| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
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_aMAT022000 _2bisacsh |
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_aPBH _2thema |
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| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aHoward, Benjamin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aIntersections of Hirzebruch–Zagier Divisors and CM Cycles _h[electronic resource] / _cby Benjamin Howard, Tonghai Yang. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2012. |
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| 300 |
_aVIII, 140 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 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2041 |
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| 505 | 0 | _a1. Introduction -- 2. Linear Algebra -- 3. Moduli Spaces of Abelian Surfaces -- 4. Eisenstein Series -- 5. The Main Results -- 6. Local Calculations. | |
| 520 | _aThis monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch–Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series. | ||
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 700 | 1 |
_aYang, Tonghai. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783642239809 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783642239786 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2041 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-23979-3 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c11185 _d11185 |
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