000 02537nam a22004455i 4500
001 978-3-540-93913-9
003 DE-He213
005 20190213151130.0
007 cr nn 008mamaa
008 100301s2009 gw | s |||| 0|eng d
020 _a9783540939139
_9978-3-540-93913-9
024 7 _a10.1007/978-3-540-93913-9
_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 _aMochizuki, Takuro.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDonaldson Type Invariants for Algebraic Surfaces
_h[electronic resource] :
_bTransition of Moduli Stacks /
_cby Takuro Mochizuki.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXXIII, 383 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 ;
_v1972
505 0 _aPreliminaries -- Parabolic L-Bradlow Pairs -- Geometric Invariant Theory and Enhanced Master Space -- Obstruction Theories of Moduli Stacks and Master Spaces -- Virtual Fundamental Classes -- Invariants.
520 _aWe are defining and studying an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface.We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing formula" and the "Witten conjecture" for classical Donaldson invariants. Our goal is to obtain a weaker version of these relations, by systematically using the intrinsic smoothness of moduli spaces. According to the recent excellent work of L. Goettsche, H. Nakajima and K. Yoshioka, the wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case!
650 0 _aGeometry, algebraic.
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540939740
776 0 8 _iPrinted edition:
_z9783540939122
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1972
856 4 0 _uhttps://doi.org/10.1007/978-3-540-93913-9
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9624
_d9624