A Construction of Codimension Three Arithmetically Gorenstein Subschemes of Projective Space

  title={A Construction of Codimension Three Arithmetically Gorenstein Subschemes of Projective Space},
  author={Juan Migliore and Chris Peterson},
This paper presents a construction method for a class of codimension three arithmetically Gorenstein subschemes of projective space. These schemes are obtained from degeneracy loci of sections of certain specially constructed rank three reflexive sheaves. In contrast to the structure theorem of Buchsbaum and Eisenbud, we cannot obtain every arithmetically Gorenstein codimension three subscheme by our method. However, certain geometric applications are facilitated by the geometric aspect of this… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 37 references

Reduced Gorenstein Codimension Three Subschemes of Projective Space

A. V. Geramita, J. Migliore
Proc. Amer. Math. Soc. 125 • 1997

On Surfaces in P4 and 3-folds in P5

W. Decker, S. Popescu
Vector Bundles in Algebraic Geometry, London Math. Soc. Lecture Note Ser., vol. 208, Cambridge Univ. Press • 1995

On the equations which are needed to define a closed subscheme of the projective space

D. Portelli, W. Spangher
J. Pure and Applied Algebra 98 • 1995

An Introduction to Deficiency Modules and Liaison Theory for Subschemes of Projective Space,

Juan Migliore
Global Analysis Research Center, Seoul National University, Lecture Notes Series No • 1994

An introduction to homological algebra,

C. Weibel

Applications of liaison theory to schemes supported on lines

C. Peterson
growth of the deficiency module, and low rank vector bundles, Ph.D. thesis, Duke University • 1994

Notes on Varieties of Codimension 3 in PN

C. Okonek
manuscripta math. 84 • 1994

Surfaces in P4 and deficiency modules

G. Bolondi
the proceedings of the conference “Classification of Algebraic Varieties” (L’Aquila 1992), Contemporary Mathematics 162 • 1994

Boundedness of nongeneral type 3-folds in P5

R. Braun, G. Ottaviani, M. Schneider, F.-O. Schreyer
“Complex Analysis and Geometry,” ed. by V. Ancona and A. Silva • 1993

Construction of Surfaces in P4

W. Decker, L. Ein, F. Schreyer
J. Alg. Geom. 2 • 1993

Similar Papers

Loading similar papers…