Joel Roberts

Mathematical publications

Last updated June 1, 2006

  1. Generic projections of algebraic varieties, Amer. J. Math. 93 (1971), 191-214.
  2. The variation of singular cycles in an algebraic family of morphisms, Trans. Amer. Math. Soc. 168 (1972), 153-164.
  3. Chow's moving lemma: an appendix to lectures of S. Kleiman, Algebraic Geometry, Oslo 1970 (F. Oort, ed.), Groningen, Wolters-Noordhoff, 1972, p. 89-96.
  4. Singularity subschemes and generic projections [research announcement], Bull. Amer. Math. Soc. 78 (1972), 706-708.
  5. (with M. Hochster) Actions of reductive groups on regular rings and Cohen- Macaulay rings [research announcement], Bull. Amer. Math. Soc. 80 (1974), 281-284.
  6. (with M. Hochster) Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Advances in Math. 13 (1974), 115-175.
  7. Singularity subschemes and generic projections, Trans. Amer. Math. Soc. 212 (1975), 229-268.
  8. (with M. Hochster) The purity of the Frobenius and local cohomology, Advances in Math. 21 (1976), 117-172.
  9. A stratification of the dual variety, preprint, July 1976. (9 pages)
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  10. Hypersurfaces with nonsingular normalization and their double loci, J. of Algebra 53 (1978), 253-267.
  11. (with A. Holme) Pinch points and multiple locus of generic projections of singular varieties, Advances in Math. 33 (1979), 212-256.
  12. Some properties of double point schemes, Compositio Math. 41 (1980), 61-94.
  13. (with T. Fujita) Varieties with small secant varieties: the extremal case, Amer. J. Math. 103 (1981), 953-976.
  14. (with R. Speiser) Schubert's enumerative geometry of triangles from a modern viewpoint, Algebraic Geometry: Proceedings, University of Illinois at Chicago Circle, 1980 , Springer Lecture Notes in Mathematics 862 (1981), 272-281.
  15. (with R. Zaare-Nahandi) Transversality of generic projections and seminormality of the image hypersurfaces, Compositio Math 52 (1984), 211-220.
  16. (with R. Speiser) Enumerative geometry of triangles, I , Comm. in Algebra 12 (1984), 1213-1255.
  17. (with R. Speiser) Enumerative geometry of triangles, II , Comm. in Algebra 14 (1986), 155-191.
  18. (with R. Speiser) Enumerative geometry of triangles, III , Comm. in Algebra 15 (1987), 1929-1966.
  19. Old and new results about the triangle varieties, Algebraic Geometry Sundance 1986 , Springer Lecture Notes 1311 (1988), 197-219.
  20. (with A. Holme) On the embeddings of projective varieties, Algebraic Geometry Sundance 1986 , Springer Lecture Notes 1311 (1988), 118-146.
  21. Projective embeddings of algebraic varieties (lecture notes), Monografías del Instituto de Matemáticas, no. 19 (1988) Universidad Nacional Autónoma de México.
  22. (with J. Weyman) A short proof of a theorem of M. Hashimoto, J. Algebra 134 (1990), 144 - 156.
  23. Embeddings of algebraic surfaces in P4, Seminari di Geometria 1991-93, Università di Bologna (1994), pp. 169 - 178.
  24. (with A. Holme) Zak's theorem on superadditivity, Arkiv för Matematik 32 (1994), 99 - 120.
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  25. (with J. Gil de Lamadrid) The Jordan canonical form of a matrix related to a second order system of ordinary differential equations, preprint, January 1997.
  26. (with V. Reiner) Resolutions and the homology of matching and chessboard complexes, J. Algebraic Combinatorics 11 (2000), 135-154.
                            Click here for the pdf version
  27. (with H Haghighi and R. Zaare-Nahandi) Some properties of finite morphisms on double points, Compositio Math. 121 (2000), 35 - 53.
                            Click here for the pdf version
  28. (with J. Eagon) Minimal resolutions derived from bicomplexes and other Wall complexes, work in progress.
  29. (with A. Holme) The enumerative theory of k-secant (k-1)-spaces, work in progress.

Joel Roberts
351 Vincent Hall
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
U.S.A.
1-612-625-1076
e-mail: roberts@math.umn.edu
http://www.math.umn.edu/~roberts


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