Hjem
Gunnar Fløystads bilde

Gunnar Fløystad

Professor
  • E-postGunnar.Floystad@uib.no
  • Telefon+47 55 58 28 40
  • Besøksadresse
    Realfagbygget, Allégt. 41
  • Postadresse
    Postboks 7803
    5020 Bergen
  • Kommutativ algebra
  • Algebraisk geometri
  • Assosiative algebraer
Bøker
  • Fløystad, Gunnar; Johnsen, Trygve; Knutsen, Andreas Leopold. 2011. Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009. Springer. 198 sider. ISBN: 3642194915.
  • Knutsen, Andreas Leopold; Johnsen, Trygve; Fløystad, Gunnar. 2011. Combinatorial aspects of commutative algebra and algebraic geometry. Proceedings of the Abel Symposium held in Voss, June 1–4, 2009. Springer. 174 sider. ISBN: 978-3-642-19491-7.
Tidsskriftartikler
  • Fløystad, Gunnar; Greve, Bjørn Møller; Herzog, Jürgen. 2017. Letterplace and co-letterplace ideals of posets. Journal of Pure and Applied Algebra. 221: 1218-1241. doi: 10.1016/j.jpaa.2016.09.007
  • D'Ali, Alessio; Fløystad, Gunnar; Nematbakhsh, Amin. 2016. Resolutions of letterplace ideals of posets. Journal of Algebraic Combinatorics. Published ahead of print: 1-20. doi: 10.1007/s10801-016-0729-z
  • Fløystad, Gunnar; McCullough, Jason; Peeva, Irena. 2016. Three themes of syzygies. Bulletin of the American Mathematical Society. 53: 415-435. doi: 10.1090/bull/1533
  • Fløystad, Gunnar. 2015. Zipping Tate resolutions and exterior coalgebras. Journal of Algebra. 437: 249-307. doi: 10.1016/j.jalgebra.2015.04.007
  • Fløystad, Gunnar. 2015. The exterior algebra and central notions in mathematics. Notices of the American Mathematical Society. 62: 336-371. doi: 10.1090/noti1234
  • Fløystad, Gunnar; Roggero, Margherita. 2014. Borel degenerations of arithmetically Cohen-Macaulay curves in ℙ3. International journal of algebra and computation. 24: 715-739. doi: 10.1142/S0218196714500301
  • Gateva-Ivanova, Tatiena; Fløystad, Gunnar. 2014. Monomial algebras defined by Lyndon words. Journal of Algebra. 403: 470-496. doi: 10.1016/j.jalgebra.2014.01.012
  • Fløystad, Gunnar. 2013. Triplets of pure free squarefree complexes. Journal of Commutative Algebra. 5: 101-139. doi: 10.1216/JCA-2013-5-1-101
  • Fløystad, Gunnar; Lohne, Henning. 2013. Brill-Noether theory for squarefree modules supported on a graph. Journal of Pure and Applied Algebra. 217: 803-818. doi: 10.1016/j.jpaa.2012.09.010
  • Eisenbud, David; Fløystad, Gunnar; Weyman, Jerzy. 2011. The existence of equivariant pure free resolutions. Annales de l'Institut Fourier. 61: 901-926. doi: 10.5802/aif.2632
  • Fløystad, Gunnar. 2011. The colorful Helly theorem and colorful resolutions of ideals. Journal of Pure and Applied Algebra. 215: 1255-1262. doi: 10.1016/j.jpaa.2010.08.009
  • Fløystad, Gunnar; Boij, Mats. 2011. The cone of Betti diagrams of bigraded artinian modules of codimension two. Abel Symposia. 6: 1-16. doi: 10.1007/978-3-642-19492-4_1
  • Fløystad, Gunnar; Brun, Morten. 2011. The Auslander-Reiten translate on monomial ideals. Advances in Mathematics. 226: 952-991. doi: 10.1016/j.aim.2010.07.006
  • Fløystad, Gunnar; Herzog, Jürgen. 2011. Grobner bases of syzygies and Stanley depth. Journal of Algebra. 328: 178-189. doi: 10.1016/j.jalgebra.2010.10.032
  • Fløystad, Gunnar; Vatne, Jon Eivind. 2011. Artin-Schelter regular algebras of dimension five. Banach Center Publications. 93: 19-39. doi: 10.4064/bc93-0-2
  • Fløystad, Gunnar. 2010. The linear space of Betti diagrams of multigraded Artinian modules. Mathematical Research Letters. 17: 943-958.
  • Fløystad, Gunnar. 2009. Cellular Resolution of Cohen-Macaulay Monomial Ideals. Journal of Commutative Algebra. 1: 57-89. doi: 10.1216/JCA-2009-1-1-57
  • Fløystad, Gunnar; Stillman, Mike. 2009. Geometric properties derived from generic initial spaces. Proceedings of the American Mathematical Society. 137: 3619-3625.
  • Fløystad, Gunnar. 2007. Cohen-Macaulay cell complexes. Contemporary Mathematics. 423: 205-220.
  • Fløystad, Gunnar. 2007. Enriched homology and cohomology modules of simplicial complexes. Journal of Algebraic Combinatorics. 25: 285-307. doi: 10.1007/s10801-006-0038-z
  • Fløystad, Gunnar. 2006. Koszul duality and equivalences of categories. Transactions of the American Mathematical Society. 358.
  • Fløystad, Gunnar; Vatne, Jon Eivind. 2006. PBW-deformations of N-Koszul algebras. Journal of Algebra. 302: 116-155.
  • Fløystad, Gunnar; Vatne, Jon Eivind. 2005. (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves. Communications in Algebra. 33: 3121-3136.
  • Fløystad, Gunnar. 2004. Exterior algebra resolutions arising from homogeneous bundles. Mathematica Scandinavica. 94: 191-201.
  • Eisenbud, David; Fløystad, Gunnar; Schreyer, Frank-Olaf. 2003. Sheaf cohomology and free resolutions over exterior algebras. Transactions of the American Mathematical Society. 355: 4397-4426.
  • Vatne, Jon Eivind; Fløystad, Gunnar. 2002. (Bi-) Cohen-Macaulay simplicial complexes and their associated coherent sheaves. http://xxx.lanl.gov/abs/math.AG/0209061. Publisert 2002-09-15.
  • Eisenbud, David; Fløystad, Gunnar; Schreyer, Frank-Olaf. 2001. Sheaf cohomology and exterior algebra resolutions. Mathematics, abstract. Publisert 2001-04-20.
  • Fløystad, Gunnar. 2001. Exterior algebra resolutions arising from homogeneous bundles. Mathematics, abstract. Publisert 2001-10-05.
  • Fløystad, Gunnar. 2000. Monads on projective spaces. Communications in Algebra. 28: 5503-5516.
  • Fløystad, Gunnar. 2000. Describing coherent sheaves on projective spaces. Mathematics, abstract.
  • Fløystad, Gunnar. 2000. Koszul duality and equivalences of categories. Mathematics, abstract.
  • Fløystad, Gunnar. 2000. Curves on normal surfaces. Transactions of the American Mathematical Society. 352: 5485-5510.
  • Fløystad, Gunnar. 1999. A property deducible from the generic initial ideal. Journal of Pure and Applied Algebra. 136: 127-140.
  • Fløystad, Gunnar. 1998. Higher initial ideals of homogeneous ideals. Memoirs of the American Mathematical Society. 134: 68.
Rapporter/avhandlinger
  • Fløystad, Gunnar. 2005. Cohen-Macaulay cell complexes. xxx.lanl.gov. 16 sider.
  • Fløystad, Gunnar. 2004. Enriched homology and cohomology modules of simplicial complexes. http://xxx.lanl.gov/math.CO/0411570. 21 sider.
  • Fløystad, Gunnar; Vatne, Jon Eivind. 2004. PBW-deformations of N-Koszul algebras. Institutt Mittag-Leffler, Report No. 32.. 26 sider.
  • Fløystad, Gunnar. 2003. Hierarchies of simplicial complexes via the BGG-correspondence. lanl.arxiv.org/abs/math.CO/0302313. MANGLER.
  • Fløystad, Gunnar. 1998. Monads on projective spaces. math. AG/9806147. Algebraic Geometry Preprint Service. 9 sider.
  • Fløystad, Gunnar. 1997. A property deductible from the generic initied ideal. Algebraic geometry e-prints. 9708020. [Mangler utgivernavn].
  • Fløystad, Gunnar. 1994. Higher initial images of homogeneous ideals. Reports Published by the Department of Pure Mathematics. 64. UiB-MatNat: Matematisk institutt.
  • Fløystad, Gunnar. 1990. On space curves with good cohomological properties. 1 sider.
  • Fløystad, Gunnar. 1989. Construction of space curves with good properties. Report No.54 November 22 - 89. Reports published by the Department of Mathematics. Universitetet i Bergen, matematisk institutt.
  • Fløystad, Gunnar. 1987. Existence of unirational components of the Hilbert schemes of curves in p%3 which parametrizes smooth curves of high degree and genus. Reports Published by the Department of Pure Mathematics. 52. UiB-MatNat: Matematisk institutt.
Bokkapitler
  • Fløystad, Gunnar. 2012. Boij-Soderberg theory: Introduction and survey. Artikkel, sider 1-54. I:
    • Francisco, Christopher; Klingler, Lee; Sather-Wagstaff, Sean; Vassilev, Janet. 2012. Progress in commutative algebra 1, Combinatorics and homology. Walter de Gruyter. 364 sider. ISBN: 978-3-11-025040-4.

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