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Moduli of Bridgeland stable objects ...

Nuer, Howard J.

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Moduli of Bridgeland stable objects on an Enriques surface.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Moduli of Bridgeland stable objects on an Enriques surface./
作者:	Nuer, Howard J.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:	130 p.
附註:	Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.
Contained By:	Dissertation Abstracts International78-04B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10291851
ISBN:	9781369350241

Moduli of Bridgeland stable objects on an Enriques surface.
Nuer, Howard J.

Moduli of Bridgeland stable objects on an Enriques surface. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 130 p.

Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.

Thesis (Ph.D.)--Rutgers The State University of New Jersey - New Brunswick, 2016.

We construct projective moduli spaces of semistable objects on an Enriques surface for generic Bridgeland stability condition. On the way, we prove the non-emptiness of MH,Ys( v), the moduli space of Gieseker stable sheaves on an Enriques surface Y with Mukai vector v of positive rank with respect to a generic polarization H. In the case of a primitive Mukai vector on an unnodal Enriques surface, i.e. one containing no smooth rational curves, we prove irreducibility of MH,Y( v) as well. Using Bayer and Macri's construction of a natural nef divisor associated to a stability condition, we explore the relation between wall-crossing in the stability manifold and the minimal model program for Bridgeland moduli spaces. We give three applications of our machinery to obtain new information about the classical moduli spaces of Gieseker-stable sheaves: 1) We obtain a region in the ample cone of the moduli space of Gieseker-stable sheaves over Enriques surfaces. 2) We determine the nef cone of the Hilbert scheme of n points on an unnodal Enriques surface in terms of its half-pencils and the Cossec-Dolgachev &phis;-function. 3) We recover some classical results on linear systems on unnodal Enriques surfaces and obtain some new ones about n-very ample line bundles.

ISBN: 9781369350241Subjects--Topical Terms:

515831
Mathematics.

Moduli of Bridgeland stable objects on an Enriques surface.
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