000 02915nam a22004695i 4500
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
024 7 _a10.1007/b97183
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
072 7 _aPBMW
_2thema
082 0 4 _a516.35
_223
100 1 _aJohnsen, Trygve.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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.
300 _aVIII, 172 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1842
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
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
856 4 0 _uhttps://doi.org/10.1007/b97183
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c12103
_d12103