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Roger Wiegand

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Papers by Roger Wiegand

Research paper thumbnail of On the Picard group: torsion and the kernel

arXiv (Cornell University), Oct 31, 1994

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Research paper thumbnail of Auslander-Reiten and Huneke-Wiegand conjectures over quasi-fiber product rings

arXiv (Cornell University), May 2, 2022

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Research paper thumbnail of Hypersurfaces of bounded Cohen–Macaulay type

Journal of Pure and Applied Algebra, Oct 1, 2005

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Research paper thumbnail of Basics and background

American Mathematical Society eBooks, May 2, 2012

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Research paper thumbnail of FINITELY GENERATED MODULES OVER BEZOUT RINGSrwiegand@unl.edu

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Research paper thumbnail of Local rings of bounded Cohen-Macaulay type

arXiv (Cornell University), Nov 26, 2002

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Research paper thumbnail of Tame-Wild Dichotomy for Commutative Noetherian Rings—A Survey

Springer eBooks, 2021

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Research paper thumbnail of Iterated blowups of two-dimensional regular local rings

Rendiconti del Seminario Matematico della Università di Padova, 2020

We explore sequences of iterated blowups of two-dimensional regular local rings. Classical result... more We explore sequences of iterated blowups of two-dimensional regular local rings. Classical results of Zariski and Abhyankar show that the directed union of blowups of this type is a valuation ring. We show that the value group of such a valuation ring is determined by the irrational number γ that is the value of an infinite continued fraction associated to the sequence of blowups. Mathematics Subject Classification (2010). Primary: 13A18 ; Secondary: 13H05

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Research paper thumbnail of Bounded CM type

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Finite CM type in higher dimensions

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Isolated singularities and dimension two

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of The Krull-Remak-Schmidt theorem

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Dimension one

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Torsion-free modules over regular domains of dimension two

Contemporary Mathematics, 1992

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Research paper thumbnail of Ascent and descent

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Kleinian singularities and finite CM type

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Invariant theory

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of The Brauer-Thrall conjectures

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Dimension zero

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Semigroups of modules

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of On the Picard group: torsion and the kernel

arXiv (Cornell University), Oct 31, 1994

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Research paper thumbnail of Auslander-Reiten and Huneke-Wiegand conjectures over quasi-fiber product rings

arXiv (Cornell University), May 2, 2022

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Hypersurfaces of bounded Cohen–Macaulay type

Journal of Pure and Applied Algebra, Oct 1, 2005

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Basics and background

American Mathematical Society eBooks, May 2, 2012

Bookmarks Related papers MentionsView impact

Research paper thumbnail of FINITELY GENERATED MODULES OVER BEZOUT RINGSrwiegand@unl.edu

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Local rings of bounded Cohen-Macaulay type

arXiv (Cornell University), Nov 26, 2002

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Research paper thumbnail of Tame-Wild Dichotomy for Commutative Noetherian Rings—A Survey

Springer eBooks, 2021

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Iterated blowups of two-dimensional regular local rings

Rendiconti del Seminario Matematico della Università di Padova, 2020

We explore sequences of iterated blowups of two-dimensional regular local rings. Classical result... more We explore sequences of iterated blowups of two-dimensional regular local rings. Classical results of Zariski and Abhyankar show that the directed union of blowups of this type is a valuation ring. We show that the value group of such a valuation ring is determined by the irrational number γ that is the value of an infinite continued fraction associated to the sequence of blowups. Mathematics Subject Classification (2010). Primary: 13A18 ; Secondary: 13H05

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Research paper thumbnail of Bounded CM type

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Finite CM type in higher dimensions

Mathematical Surveys and Monographs, 2012

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Isolated singularities and dimension two

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of The Krull-Remak-Schmidt theorem

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Dimension one

Mathematical Surveys and Monographs, 2012

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Torsion-free modules over regular domains of dimension two

Contemporary Mathematics, 1992

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Ascent and descent

Mathematical Surveys and Monographs, 2012

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Kleinian singularities and finite CM type

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Invariant theory

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of The Brauer-Thrall conjectures

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Dimension zero

Mathematical Surveys and Monographs, 2012

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Research paper thumbnail of Semigroups of modules

Mathematical Surveys and Monographs, 2012

Bookmarks Related papers MentionsView impact

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