Petter Andreas Bergh
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Contact information:
| Office: |
Room 840, Sentralbygg 2 |
| Phone: |
+47 73593409 |
| Email: |
bergh(at)math.ntnu.no
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Mathematical interests:
Papers:
- Complexity and periodicity, Colloq. Math. 104 (2006), no. 2, 169-191
pdf
- Modules with reducible complexity, J. Algebra 310 (2007), no. 1, 132-147
pdf
- On support varieties for modules over complete intersections,
Proc. Amer. Math. Soc. 135 (2007), no. 12, 3795-3803
pdf
- On the Hochschild (co)homology of quantum exterior algebras,
Comm. Algebra 35 (2007), no. 11, 3440-3450 pdf
- On the vanishing of (co)homology over local rings, J. Pure Appl. Algebra 212 (2008), no. 1, 262-270
pdf
- Twisted support varieties, J. Pure Appl. Algebra 212 (2008), no. 4, 753-773
pdf
- (With Steffen Oppermann)
The representation dimension of quantum complete intersections, J. Algebra 320 (2008), no. 1, 354-368
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- Representation dimension and finitely generated cohomology, Adv. Math. 219 (2008), no. 1, 389-400
pdf
- (With Karin Erdmann)
Homology and cohomology of quantum complete intersections, Algebra Number Theory 2 (2008), no. 5, 501-522
pdf
- (With Steffen Oppermann)
Cohomology of twisted tensor products, J. Algebra 320 (2008), no. 8, 3327-3338
pdf
- Orbit algebras and periodicity, Colloq. Math. 114 (2009), no. 2, 245-252
pdf
- (With Karin Erdmann)
The Avrunin-Scott theorem for quantum complete intersections, J. Algebra 322 (2009), no. 2, 479-488
pdf
- (With Dag Madsen)
Hochschild homology and global dimension, Bull. Lond. Math. Soc.
41 (2009), no. 3, 473-482
pdf
- Modules with reducible complexity, II, Comm. Algebra 37
(2009), no. 6, 1908-1920
pdf
- Ext-symmetry over quantum complete intersections,
Arch. Math. 92 (2009), no. 6, 566-573
pdf
- On complexes of finite complete intersection dimension,
Homology, Homotopy Appl. 11 (2009), no. 2, 49-54
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- (With Øyvind Solberg)
Relative support varieties, to appear in Q. J. Math.
pdf
- (With Srikanth Iyengar,
Henning Krause,
Steffen Oppermann)
Dimensions of triangulated categories via Koszul objects, to appear in Math. Z.
pdf
- On the vanishing of cohomology in triangulated categories, preprint 2008
pdf
- (With Dave Jorgensen)
On the vanishing of homology for modules of finite complete
intersection dimension, preprint 2009
pdf
- (With Dave Jorgensen)
On growth in totally acyclic minimal complexes, preprint 2009
pdf
- On the vanishing of homology with modules of finite length,
preprint 2009
pdf
- Betti polynomials in triangulated categories, preprint 2009
- The Krull dimension of the stable module category of a group
ring, preprint 2009
pdf
- On the Hochschild homology of split pairs, preprint 2009
pdf
- (With Dave Jorgensen)
The depth formula for modules with reducible complexity,
preprint 2009
pdf
- (With Karin
Erdmann)
The stable Auslander-Reiten quiver of a quantum complete
intersection, preprint 2009
pdf
Other publications
- Support via central ring actions, Oberwolfach Rep. 10 (2009)
pdf
- (With Karin Erdmann)
Support and rank varieties for quantum complete intersections, Oberwolfach Rep. 10 (2009)
pdf
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