Joel Roberts
Mathematical publications
Last updated June 1, 2006
- Generic projections of algebraic varieties, Amer. J. Math. 93 (1971), 191-214.
- The variation of singular cycles in an algebraic family of morphisms, Trans. Amer.
Math. Soc. 168 (1972), 153-164.
- 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.
- Singularity subschemes and generic projections [research announcement], Bull.
Amer. Math. Soc. 78 (1972), 706-708.
- (with M. Hochster) Actions of reductive groups on regular rings and Cohen-
Macaulay rings [research announcement], Bull. Amer. Math. Soc. 80 (1974), 281-284.
- (with M. Hochster) Rings of invariants of reductive groups acting on regular rings
are Cohen-Macaulay, Advances in Math. 13 (1974), 115-175.
- Singularity subschemes and generic projections, Trans. Amer. Math. Soc. 212
(1975), 229-268.
- (with M. Hochster) The purity of the Frobenius and local cohomology, Advances in
Math. 21 (1976), 117-172.
- A stratification of the dual variety, preprint, July 1976. (9 pages)
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- Hypersurfaces with nonsingular normalization and their double loci, J. of Algebra
53 (1978), 253-267.
- (with A. Holme) Pinch points and multiple locus of generic projections of singular
varieties, Advances in Math. 33 (1979), 212-256.
- Some properties of double point schemes, Compositio Math. 41 (1980), 61-94.
- (with T. Fujita) Varieties with small secant varieties: the extremal case, Amer. J.
Math. 103 (1981), 953-976.
- (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.
- (with R. Zaare-Nahandi) Transversality of generic projections and seminormality of
the image hypersurfaces, Compositio Math 52 (1984), 211-220.
- (with R. Speiser) Enumerative geometry of triangles, I , Comm. in Algebra 12
(1984), 1213-1255.
- (with R. Speiser) Enumerative geometry of triangles, II , Comm. in Algebra 14
(1986), 155-191.
- (with R. Speiser) Enumerative geometry of triangles, III , Comm. in Algebra 15
(1987), 1929-1966.
- Old and new results about the triangle varieties, Algebraic Geometry Sundance 1986 , Springer Lecture Notes 1311 (1988),
197-219.
- (with A. Holme) On the embeddings of projective varieties, Algebraic Geometry Sundance 1986 , Springer Lecture Notes 1311
(1988), 118-146.
- Projective embeddings of algebraic varieties (lecture notes), Monografías
del Instituto de Matemáticas, no. 19 (1988) Universidad Nacional Autónoma
de México.
- (with J. Weyman) A short proof of a theorem of M. Hashimoto, J. Algebra 134
(1990), 144 - 156.
- Embeddings of algebraic surfaces in P4, Seminari di
Geometria 1991-93, Università di Bologna (1994), pp. 169 - 178.
- (with A. Holme) Zak's theorem on superadditivity, Arkiv för Matematik 32
(1994), 99 - 120.
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- (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.
- (with V. Reiner) Resolutions and the homology of matching and chessboard
complexes, J. Algebraic Combinatorics 11 (2000), 135-154.
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- (with H Haghighi and R. Zaare-Nahandi) Some properties of finite morphisms on
double points, Compositio Math. 121 (2000), 35 - 53.
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- (with J. Eagon) Minimal resolutions derived from bicomplexes and other Wall
complexes, work in progress.
- (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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