List of publications


  1. Über mengentheoretische Durchschnitte und Zusammenhang algebraischer Mannigfaltigkeiten im $\mathbb{P}^n$ (with W. Vogel), Arch. Math. (Basel) 49 (1987), 414-419.

  2. Castelnuovo-Regularität und Hilbertreihen, Math. Nachr. 142 (1989), 27-43.

  3. Über Gradschranken für Syzygien und kohomologische Hilbertfunktionen, Ph.D. thesis, University of Paderborn, 1990.

  4. Bounds for Castelnuovo's regularity and the genus of projective varieties (with W. Vogel), In: Topics in Algebra. Banach Center Publications, Vol. 26, Part 2, 163-183, PWN-Polish Scientific Publishers, Warsaw 1990.

  5. Castelnuovo's regularity and Hilbert functions, Compositio Math. 76 (1990), 265-275.

  6. On the minimal free resolution of finite sets of points in $\mathbb{P}^n$ (with P. Maroscia, W. Vogel), C. R. Math. Acad. Sci. Canada 12 (1990), 27-32.

  7. On degree bounds for the syzygies of a finite set of points in $\mathbb{P}^n$ (with P. Maroscia, W. Vogel), Rend. Sem. Mat. Univ. Politec. Torino 48 (1991), 491 - 510.

  8. On bounds for cohomological Hilbert functions, J. Algebra 150 (1992), 231-244.

  9. On Hilbert function under liaison, Le Matematiche XLVI (1993), 547-558.

  10. On the minimal free resolution of $r+3$ points in projective $r$-space, J. Pure Appl. Algebra 96 (1994), 23-38.

  11. On graded Betti numbers and geometrical properties of projective varieties (with Y. Pitteloud), Manuscripta Math. 84 (1994), 291-314.

  12. Cohomological annihilators and Castelnuovo-Mumford regularity (with P. Schenzel), Contemp. Math. 159 (1994), 307-328.

  13. On the defining equations and syzygies of arithmetically Cohen-Macaulay varieties in arbitrary characteristic, J. Algebra 175 (1995), 359-372.

  14. Bounding cohomological Hilbert functions by hyperplane sections (with M. Brodmann), J. Algebra 174 (1995), 323-348.

  15. On the Cohen-Macaulay type of the general hypersurface section of a curve (with J. Migliore), Math. Z. 219 (1995), 245-273.

  16. On arithmetically Buchsbaum subschemes and liaison, Habilitationsschrift, University of Paderborn, 1996.

  17. Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity (with P. Schenzel), Nagoya Math. J. 152 (1998), 153-174.

  18. On the genus and Hartshorne-Rao module of projective curves (with N. Chiarli, S. Greco), Math. Z. 229 (1998), 695-724.

  19. Even liaison classes generated by Gorenstein linkage, J. Algebra 209 (1998), 543-584.

  20. Buchsbaum-Rim sheaves and their multiple sections (with J. Migliore, C. Peterson), J. Algebra 219 (1999), 378-420.

  21. Arithmetically Buchsbaum divisors on varieties of minimal degree, Trans. Amer. Math. Soc. 351 (1999), 4381-4409.

  22. Determinantal schemes and Buchsbaum-Rim sheaves (with M. Kreuzer, J. Migliore, C. Peterson), J. Pure Appl. Algebra 150 (2000), 155-174.

  23. Regularity bounds for projective subschemes of codimension two (with N. Chiarli, S. Greco), Kyoto J. Math. 40 (2 000), 37-59.

  24. Lifting the $k$-Buchsbaum property, J. Pure Appl. Algebra 152 (2000), 267-273.

  25. Constructing schemes with prescribed cohomology in arbitrary codimension (with J. Migliore, C. Peterson), J. Pure Appl. Algebra 152 (2000), 245-251.

  26. Lifting monomial ideals (with J. Migliore), Comm. Algebra 28 (2000), Special volume in honour of R. Hartshorne, 5679-5701.

  27. Bezout's theorem and Cohen-Macaulay modules (with J. Migliore, C. Peterson), Math. Z. 237 (2001), 373-394.

  28. Gorenstein liaison, complete intersection liaison invariants and unobstructedness (with J. Kleppe, R. Miro-Roig, J. Migliore, C. Peterson), Mem. Amer. Math. Soc. 154 (2001), no. 732, 116pp.

  29. When does a projective curve contain a planar subcurve? (with N. Chiarli, S. Greco), J. Pure Appl. Algebra 164 (2001), 345-364. (ps-file)

  30. Monomial ideals and the Gorenstein liaison class of a complete intersection (with J. Migliore), Compositio Math. 133 (2002), 25-36. (ps-file)

  31. On the cohomology and genus of projective curves, Le Matematiche LV (2002) , Special volume in honour of S. Greco, 339--351. (ps-file)

  32. On the even Gorenstein liaison classes of ropes on a line (with R. Notari, S. Spreafico), Le Matematiche LV (2002), Special volume in honour of S. Greco, 483--498. (ps-file)

  33. Surfaces in $\mathbb{P}^4$ with extremal general hyperplane section (with N. Chiarli, S. Greco), J. Algebra 257 (2002), 65--87. (ps-file)

  34. Liaison and Related Topics: Notes from the Torino Workshop/School (with J. Migliore), Rend. Sem. Mat. Univ. Politec. Torino 59 (2003), 59--126 (ps-file)

  35. The Weak and Strong Lefschetz properties for Artinian $K$-Algebras (with T. Harima, J. Migliore, J. Watanabe), J. Algebra 262 (2003), 99--126. (ps-file)

  36. Characterization of some projective subschemes by locally free resolutions, Contemp. Math. 331 (2003), 235--266. (ps-file)

  37. Curves of degree two and ropes on a line: their ideals and even liaison classes (with R. Notari, M. L. Spreafico), J. Algebra 265 (2003), 772--793. (ps-file)

  38. Non-degenerate curves with maximal Hartshorne-Rao module, Math. Z. 244 (2003), 753--773. (ps-file)

  39. Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers (with J. Migliore), Adv. Math. 180 (2003), 1--63. (ps-file)

  40. Normal form for space curves in a double plane, (with N. Chiarli, S. Greco), J. Pure Appl. Algebra 190 (2004), 45--57 (ps-file)

  41. Minimal resolution of relatively compressed level algebras, (with J. Migliore, R. Miro-Roig), J. Algebra 284 (2005), 333--370. (ps-file)

  42. Liaison classes of modules, J. Algebra 284 (2005), 236--272. (ps-file)

  43. Tetrahedral curves, (with J. Migliore), Int. Math. Res. Not. 2005, no. 15, 899--939. (ps-file)

  44. The multiplicitiy conjecture in low codimensions, (with J. Migliore, T. Römer), Math. Res. Lett. 12 (2005), 10001--10017. (ps-file)

  45. Comparing Castelnuovo-Mumford regularity and extended degree: the borderline cases, Trans. Amer. Math. Soc. 357 (2005), 3585--3603. (ps-file)

  46. Extended degree functions and monomial modules , (with T. Römer), Trans. Amer. Math. Soc. (to appear). (ps-file)

  47. The Hilbert scheme of degree two curves and certain ropes, (with R. Notari, M. L. Spreafico), Internat. J. Math. (to appear). (ps-file)

  48. On the componentwise linearity and the minimal free resolution of a tetrahedral curve, (with C. Francisco, J. Migliore), J. Algebra (to appear). (ps-file)

  49. Extensions of the multiplicity conjecture, (with J. Migliore, T. Römer), Trans. Amer. Math. Soc. (to appear). (ps-file)

  50. Empty simplices of polytopes and graded Betti numbers, Discrete Comput. Geom. (to appear). (ps-file)

  51. Minimal free resolutions of projective subschemes of small degree, Preprint. (ps-file)

  52. The equations of space curves on a quadric, (with R. Di Gennaro), Preprint. (ps-file)

  53. Families of space curves with large cohomology, (with N. Chiarli, S. Greco), Preprint. (ps-file)

  54. Algebraic shifting and exterior and symmetric algebra methods, (with T. Römer, N. P. Vinai), Preprint. (ps-file)