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Moduli of Bridgeland stable objects ...

Rutgers The State University of New Jersey - New Brunswick.

Moduli of Bridgeland stable objects on an Enriques surface.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Moduli of Bridgeland stable objects on an Enriques surface./
Author:	Nuer, Howard J.
Description:	1 online resource (130 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.
Contained By:	Dissertation Abstracts International78-04B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369350241

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

Moduli of Bridgeland stable objects on an Enriques surface. - 1 online resource (130 pages)

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

Thesis (Ph.D.)

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369350241Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Moduli of Bridgeland stable objects on an Enriques surface.
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005 20180426091047.5
006 m o u
007 cr mn||||a|a||
008 190606s2016 xx obm 000 0 eng d
020 $a 9781369350241
035 $a (MiAaPQ)AAI10291851
035 $a (MiAaPQ)rutgersnb:7129
035 $a AAI10291851
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Nuer, Howard J. $3 1180783
245 1 0 $a Moduli of Bridgeland stable objects on an Enriques surface.
264 0 $c 2016
300 $a 1 online resource (130 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.
500 $a Adviser: Lev Borisov.
502 $a Thesis (Ph.D.) $c Rutgers The State University of New Jersey - New Brunswick $d 2016.
504 $a Includes bibliographical references
520 $a 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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Theoretical mathematics. $3 1180455
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0642
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Rutgers The State University of New Jersey - New Brunswick. $b Graduate School - New Brunswick. $3 845606
773 0 $t Dissertation Abstracts International $g 78-04B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10291851 $z click for full text (PQDT)

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