000 | 02915nam a22004695i 4500 | ||
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001 | 978-3-540-40898-7 | ||
003 | DE-He213 | ||
005 | 20190213151842.0 | ||
007 | cr nn 008mamaa | ||
008 | 130109s2004 gw | s |||| 0|eng d | ||
020 |
_a9783540408987 _9978-3-540-40898-7 |
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024 | 7 |
_a10.1007/b97183 _2doi |
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050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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072 | 7 |
_aMAT012010 _2bisacsh |
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072 | 7 |
_aPBMW _2thema |
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082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aJohnsen, Trygve. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aK3 Projective Models in Scrolls _h[electronic resource] / _cby Trygve Johnsen, Andreas Leopold Knutsen. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2004. |
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300 |
_aVIII, 172 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 ; _v1842 |
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505 | 0 | _aIntroduction -- Surfaces in scrolls -- The Clifford index of smooth curves in |L| and the definition of the scrolls T(c, D, {D_{\lamda}}) -- Two existence theorems -- The singular locus of the surface S´ and the scroll T -- Postponed proofs -- Projective models in smooth scrolls -- Projective models in singular scrolls -- More on projective models in smooth scrolls of K3 surfaces of low Clifford-indices -- BN general and Clifford general K3 surfaces -- Projective models of K3 surfaces of low genus -- Some applications and open questions -- References -- Index. | |
520 | _aThe exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
700 | 1 |
_aKnutsen, Andreas Leopold. _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: _z9783540215059 |
776 | 0 | 8 |
_iPrinted edition: _z9783662184431 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1842 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b97183 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c12103 _d12103 |