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[null,"1.","Record Nr.",null,"UNISA996466482703316"]
[null,null,"Autore",null,"Mochizuki Takuro"]
[null,null,"Titolo",null,"Donaldson Type Invariants for Algebraic Surfaces [[electronic resource] ] : Transition of Moduli Stacks / / by Takuro Mochizuki"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009"]
[null,null,"ISBN",null,"3-540-93913-X"]
[null,null,"Edizione",null,"[1st ed. 2009.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XXIII, 383 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1972"]
[null,null,"Classificazione",null,"14D2014J6014J80"]
[{"$nulls":4},"MAT 142f"]
[{"$nulls":4},"MAT 146f"]
[{"$nulls":4},"SI 850"]
[null,null,"Disciplina",null,"516.35"]
[null,null,"Soggetti",null,"Algebraic geometry"]
[{"$nulls":4},"Algebraic Geometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 341-345) and index."]
[null,null,"Nota di contenuto",null,"Preliminaries -- Parabolic L-Bradlow Pairs -- Geometric Invariant Theory and Enhanced Master Space -- Obstruction Theories of Moduli Stacks and Master Spaces -- Virtual Fundamental Classes -- Invariants."]
[null,null,null,"Sommario/riassunto","We are defining and studying an algebra-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!"]