Home
Resource
Moduli of Bridgeland stable objects on an Enriques surface
PDF
PDF format is widely accepted and good for printing.
Plug-in required
PDF-1(718.43 kb)
Citation & Export
View Usage Statistics
Staff View

Citation & Export
Hide

Simple citation

Nuer, Howard J.. Moduli of Bridgeland stable objects on an Enriques surface. Retrieved from https://doi.org/doi:10.7282/T389181T

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleModuli of Bridgeland stable objects on an Enriques surface
NameNuer, Howard J. (author); Borisov, Lev (chair); Woodward, Chris (internal member); Weibel, Chuck (internal member); Thaddeus, Michael (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2016
Other Date2016-05 (degree)
SubjectMathematics, Enriques surfaces
Extent1 online resource (viii, 121 p.)
DescriptionWe 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 $M_{H,Y}^s(v)$, 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 $M_{H,Y}(v)$ as well. Using Bayer and Macr`{i}'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 $phi$-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.
NotePh.D.
NoteIncludes bibliographical references
Noteby Howard J. Nuer
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T389181T
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
Version 8.5.5
Rutgers University Libraries - Copyright ©2024