PUBLICATIONS
Jan O. Kleppe
- "Deformations of graded algebras" Math Scand. 45 (1979), 205-231. Preprint ( PDF )
- "The Hilbert-flag scheme, its properties and its connection with the
Hilbert scheme. Applications to curves in the 3-space" (Part of) Thesis,
Univ. of Oslo (1981). Full paper (pdf
Part1 and pdf Part2 )
- "Deformations of reflexive sheaves of rank 2 on P3",
Preprint series, no 4 - march 10 (1982), Inst. of Math., Univ. of Oslo. Abstract. Full paper (PDF)
- "Singularities in codimension 1 of the Hilbert scheme. An example". Preprint, July 1983, Oslo College of Engeneering. Abstract Full paper:
( PDF)
- "Non-reduced components of the Hilbert scheme of smooth space curves". In "Space Curves, Proceedings Rocca di Papa 1985", pp 181-207, Springer Lecture Notes in Math. 1266, Springer 1987.
- "Liaison of families of subschemes in Pn" In: Algebraic Curves and Projective Geometry, Proceedings Trento 1988, pp 128-173, Springer Lecture Notes in Math. 1389, Springer 1989.
- "Maximal rank curves and singular points of the Hilbert scheme" (with G. Bolondi, R.M. Miro-Roig). Compositio Math. 77, (1991), 269-291.
- "On the Existence of Nice Components in the Hilbert Scheme H(d,g) of Smooth Connected Space Curves". Bollettino U.M.I. (7) 8-B (1994), pp 305-326, see "Main Result" attached to 11. below for a Abstract/Resume.
- "Concerning the existence of nice components in the Hilbert scheme of curves in Pn for n = 4 and 5". J. reine angew. Math. 475 (1996), 77-102. Abstract
- "The dimension of the Hilbert scheme of Gorenstein codimension 3 subschemes" (with Miro-Roig R.M.) J. Pure Appl. Algebra 127 (1998), 73-82. Abstract
- "Halphen Gaps and Good Space Curves". Bollettino U.M.I. (8) 1-B (1998),
429-450. Abstract
and Main Results
- The Hilbert scheme of space curves of small Rao modules with an appendix
on non-reduced components. Preprint. June 1996 (33 pages). Abstract. Full paper (pdf )
- "The Smoothness and the Dimension of PGor(H) and of Other
Strata of the Punctual Hilbert Scheme". J. Algebra 200 (1998),
606-628. Abstract
- "The Hilbert scheme of surfaces in P4 of constant
cohomology". Preprint. April 1997 (28 pages). Abstract. Full paper (pdf )
- "Gorenstein Liaison, Complete Intersection Liaison Invariants and
Unobstructedness" (with Migliore J., Miro-Roig R.M., Nagel U. and Peterson
C.). Mem. Amer. Math. Soc. 732 (2001) Abstract.
Full paper ( DVI / PS )
- "Maximal Cohen-Macaulay Modules and Gorenstein Algebras" (with Peterson
C.). J. Algebra 238 (2001), 776-800. Abstract. Full paper ( DVI / PS )
- "Sheaves with Canonical Determinant on Cohen-Macaulay Schemes" (with
Peterson C.). J. Algebra 256 (2002), 250-279. Abstract. Full paper ( DVI / PS)
- "Dimension of Families of Determinantal Schemes" (with Miro-Roig R.M.).
ArXiv: math.AG/0209011. Trans. Amer. Math. Soc. 357 no.7 (2005), 2871-2907 Abstract. Full paper (PS )
- "Maximal families of Gorenstein algebras" Preprint. Mai 2003 (22 pages)
Abstract.
Full paper ( DVI /
PS )
- "Maximal families of Gorenstein algebras" Revised. Aug. 2004.
Trans. Amer. Math. Soc. 358 no.7 (2006), 3133-3167 Abstract. Full paper ( DVI / PDF)
- "Unobstructedness and dimension of families of Gorenstein algebras".
ArXiv: arxiv.org/abs/math/0703129. Collect. Math. 58, 2 (2007),
199-238. Abstract. Postprint: ( DVI / PDF).
- "The Hilbert Scheme of Space Curves of small diameter". ArXiv:
arxiv.org/abs/math/0602045. Annales de l'institut Fourier, 56 no. 5 (2006),
1297-1335. Abstract. Postprint:
( DVI
/ PDF).
- "Families of Artinian and one-dimensional algebras". Preprint
in ArXiv: arxiv.org/abs/math/0601477. J. Algebra 311 (2007),
665-701. Abstract. Postprint:
( DVI
/ PDF).
- "Unobstructedness and dimension of families of codimension 3 ACM algebras"
(with Miro-Roig R.M.). In: "Algebra, Geometry and their Interactions,
Proceedings MAGIC'05 at Notre Dame", Contemporary Math. 448 (2007),
141-164. Abstract. Postprint:
( DVI
/ PDF).
- "Ideals generated by submaximal minors" (with Miro-Roig
R.M.). In ArXiv: arxiv.org/abs/0805.0545. Algebra & Number Theory, 3
no. 4 (2009), 367-392. Abstract.
Postprint: ( DVI
/ PDF).
- "Moduli spaces of reflexive sheaves of rank 2". Preprint in:
arxiv.org/abs/0803.1077. Canad. J. Math. 62 (2010), 1131-1154. E-Published:
2010-07-06. Print: Oct 2010.
Abstract. Paper:
PDF.
- "Liaison invariants and the Hilbert scheme of codimension 2 subschemes
in Pn+2". Preprint in math ArXiv: arxiv.org/abs/0810.5688.
In: "Liaison, Schottky Problem and Invariant Theory: Remembering Federico
Gaeta," Progress in Mathematics, Vol. 280 (2010), 63-101,
Birkhäuser. Abstract. Postprint:
( DVI
/ PDF).
- "Families of Determinantal Schemes" (with Miro-Roig R.M.). ArXiv:
arxiv.org/abs/1001.0162 . Proc. Amer. Math. Soc. 139 (2011), 3831-3843. Online
16.03.2011. Abstract.
Postprint: (DVI /
PDF).
- "Families of low dimensional determinantal schemes". Preprint in ArXiv:
arxiv.org/abs/0912.5162 . Journal of Pure and Applied Algebra, 215 no. 7 (2011)
1711-1725. Online 9.11.2010. http://dx.doi.org/10.1016/j.jpaa.2010.10.007.
Postprint: ( DVI /
PDF).
- "Deformations of modules of maximal grade and the Hilbert scheme at
determinantal schemes" Preprint in ArXiv: arxiv.org/abs/1012.1976 . J.
Algebra 407 (2014), 246-274. http://dx.doi.org/10.1016/j.jalgebra.2014.03.007.
Preprint 9.12.2010:
( DVI /
PDF).
- "The Hilbert Scheme of Buchsbaum space curves" Postprint in ArXiv:
arxiv.org/abs/1111.7020. Annales de l'institut Fourier, 62 no. 6 (2012),
2099-2130. Abstract. Postprint 18.06.2013 (23 pages): ( DVI /
PDF).
- "Components of the Hilbert scheme of space curves on low-degree smooth
surfaces" (with J.C. Ottem)
Abstract. Preprint 23.04.2012 (revised 16 Jan.
2015, see pdf) ( DVI /
PDF). Pre-/postprint in ArXiv: arxiv.org/abs/1204.4819. International Journal of Mathematics, Vol.26, no.2
(2015). DOI 10.1142/S0129167X15500172.
- "Comparison theorems for deformation functors via invariant theory" (with
Jan Arthur Christophersen). Preprint in ArXiv: arxiv.org/abs/1209.3444. Collect. Math. Online 6.09.2018
http://dx.doi.org/10.1007/s13348-018-0232-z Postprint. 7. September 2018 (31 pages)
( PDF)
- "On the normal sheaf of Determinantal Varieties" (with Miro-Roig R.M.).
Postprint in ArXiv: arxiv.org/abs/1403.7383. J. Reine
Angew. Math. DOI 10.1515/crelle-2014-0041. Online 18.06.2014 :
PDF. Postprint June 2016 with a correction to Prop. 3.9 (cf. Rem. 3.18) and a footnote to Thm 5.3: PDF.
- "The Hilbert scheme of space curves sitting on a smooth surface
containing a line" Rend. Circ. Mat. Palermo, II. Ser. Online 14.10.2016.
Postprint Oct. 2016: PDF. The final
publication is available at Springer via DOI 10.1007/s12215-016-0266-6.
- "The Representation Type of Determinantal Varieties" (with Miro-Roig R.M.).
Algebr Represent Theor. Online 25.02.2017. Postprint Feb. 2017: PDF. The final
publication is available at Springer via DOI 10.1007/s10468-017-9673-4.
- "Families of artinian and low dimensional determinantal rings". Preprint in ArXiv:
arxiv.org/abs/1506.08087. Journal of Pure and Applied Algebra (2017). Online 26.05.2017. Available at Elsevier via http://dx.doi.org/10.1016/j.jpaa.2017.05.001.
Postprint: ( DVI /
PDF).
Lecture Notes
- "The Hilbert Scheme of Space Curves: Ghost terms, linkage and obstructed
curves". Workshop in Korea, May 2008 (22 pages). Full paper
( DVI
/ PDF ).
Talks
"Free resolutions, ghost terms and the Hilbert scheme" Workshop: Syzygies
in Berlin, 27.-31. May 2013 (PDF ).