Multinets in P^2 and P^3

In this dissertation, a method for producing multinets from a net in P^3 is presented. Multinets play an important role in the study of resonance varieties of the complement of a complex hyperplane arrangement and very few examples are known. Implementing this method, numerous new and interesting ex...

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Bibliographic Details
Main Author:	Bartz, Jeremiah
Other Authors:	Yuzvinsky, Sergey
Language:	en_US
Published:	University of Oregon 2013
Subjects:	Hyperplane arrangements Multi-arrangements Multinets Nets Pencil of plane curves Resonance varieities
Online Access:	http://hdl.handle.net/1794/13252

id	ndltd-uoregon.edu-oai-scholarsbank.uoregon.edu-1794-13252
record_format	oai_dc
spelling	ndltd-uoregon.edu-oai-scholarsbank.uoregon.edu-1794-132522019-02-20T17:37:18Z Multinets in P^2 and P^3 Bartz, Jeremiah Yuzvinsky, Sergey Hyperplane arrangements Multi-arrangements Multinets Nets Pencil of plane curves Resonance varieities In this dissertation, a method for producing multinets from a net in P^3 is presented. Multinets play an important role in the study of resonance varieties of the complement of a complex hyperplane arrangement and very few examples are known. Implementing this method, numerous new and interesting examples of multinets are identified. These examples provide additional evidence supporting the conjecture of Pereira and Yuzvinsky that all multinets are degenerations of nets. Also, a complete description is given of proper weak multinets, a generalization of multinets. 2013-10-03T23:32:26Z 2013-10-03T23:32:26Z 2013-10-03 Electronic Thesis or Dissertation http://hdl.handle.net/1794/13252 en_US All Rights Reserved. University of Oregon
collection	NDLTD
language	en_US
sources	NDLTD
topic	Hyperplane arrangements Multi-arrangements Multinets Nets Pencil of plane curves Resonance varieities
spellingShingle	Hyperplane arrangements Multi-arrangements Multinets Nets Pencil of plane curves Resonance varieities Bartz, Jeremiah Multinets in P^2 and P^3
description	In this dissertation, a method for producing multinets from a net in P^3 is presented. Multinets play an important role in the study of resonance varieties of the complement of a complex hyperplane arrangement and very few examples are known. Implementing this method, numerous new and interesting examples of multinets are identified. These examples provide additional evidence supporting the conjecture of Pereira and Yuzvinsky that all multinets are degenerations of nets. Also, a complete description is given of proper weak multinets, a generalization of multinets.
author2	Yuzvinsky, Sergey
author_facet	Yuzvinsky, Sergey Bartz, Jeremiah
author	Bartz, Jeremiah
author_sort	Bartz, Jeremiah
title	Multinets in P^2 and P^3
title_short	Multinets in P^2 and P^3
title_full	Multinets in P^2 and P^3
title_fullStr	Multinets in P^2 and P^3
title_full_unstemmed	Multinets in P^2 and P^3
title_sort	multinets in p^2 and p^3
publisher	University of Oregon
publishDate	2013
url	http://hdl.handle.net/1794/13252
work_keys_str_mv	AT bartzjeremiah multinetsinp2andp3
_version_	1718981250330394624

Multinets in P^2 and P^3

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