000 | 03338nam a22005415i 4500 | ||
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001 | 978-3-540-47628-3 | ||
003 | DE-He213 | ||
005 | 20190213151140.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1993 gw | s |||| 0|eng d | ||
020 |
_a9783540476283 _9978-3-540-47628-3 |
||
024 | 7 |
_a10.1007/BFb0086765 _2doi |
|
050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
072 | 7 |
_aPBMS _2bicssc |
|
072 | 7 |
_aMAT038000 _2bisacsh |
|
072 | 7 |
_aPBMS _2thema |
|
072 | 7 |
_aPBPH _2thema |
|
082 | 0 | 4 |
_a514.34 _223 |
100 | 1 |
_aMorgan, John W. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aDifferential Topology of Complex Surfaces _h[electronic resource] : _bElliptic Surfaces with p g =1: Smooth Classification / _cby John W. Morgan, Kieran G. O’Grady. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1993. |
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300 |
_aVII, 224 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 |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1545 |
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505 | 0 | _aUnstable polynomials of algebraic surfaces -- Identification of ?3,r (S, H) with ?3(S) -- Certain moduli spaces for bundles on elliptic surfaces with p g = 1 -- Representatives for classes in the image of the ?-map -- The blow-up formula -- The proof of Theorem 1.1.1. | |
520 | _aThis book is about the smooth classification of a certain class of algebraicsurfaces, namely regular elliptic surfaces of geometric genus one, i.e. elliptic surfaces with b1 = 0 and b2+ = 3. The authors give a complete classification of these surfaces up to diffeomorphism. They achieve this result by partially computing one of Donalson's polynomial invariants. The computation is carried out using techniques from algebraic geometry. In these computations both thebasic facts about the Donaldson invariants and the relationship of the moduli space of ASD connections with the moduli space of stable bundles are assumed known. Some familiarity with the basic facts of the theory of moduliof sheaves and bundles on a surface is also assumed. This work gives a good and fairly comprehensive indication of how the methods of algebraic geometry can be used to compute Donaldson invariants. | ||
650 | 0 |
_aCell aggregation _xMathematics. |
|
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
700 | 1 |
_aO’Grady, Kieran G. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540566748 |
776 | 0 | 8 |
_iPrinted edition: _z9783662210819 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1545 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0086765 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9687 _d9687 |