Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Families of determinantal schemes
HTML articles powered by AMS MathViewer

by Jan O. Kleppe and Rosa M. Miró-Roig PDF
Proc. Amer. Math. Soc. 139 (2011), 3831-3843 Request permission


Given integers $a_0\le a_1\le \cdots \le a_{t+c-2}$ and $b_1\le \cdots \le b_t$, we denote by $W(\underline {b};\underline {a})\subset \textrm {Hilb}^p(\mathbb {P}^{n})$ the locus of good determinantal schemes $X\subset \mathbb {P}^{n}$ of codimension $c$ defined by the maximal minors of a $t\times (t+c-1)$ homogeneous matrix with entries homogeneous polynomials of degree $a_j-b_i$. The goal of this paper is to extend and complete the results given by the authors in an earlier paper and determine under weakened numerical assumptions the dimension of $W(\underline {b};\underline {a})$ as well as whether the closure of $W(\underline {b};\underline {a})$ is a generically smooth irreducible component of $\textrm {Hilb}^p(\mathbb {P}^{n})$.
Similar Articles
Additional Information
  • Jan O. Kleppe
  • Affiliation: Faculty of Engineering, Oslo University College, Pb. 4 St. Olavs plass, N-0130 Oslo, Norway
  • Email:
  • Rosa M. Miró-Roig
  • Affiliation: Departament d’Algebra i Geometria, Facultat de Matemàtiques, Universitat Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain
  • MR Author ID: 125375
  • ORCID: 0000-0003-1375-6547
  • Email:
  • Received by editor(s): November 10, 2009
  • Received by editor(s) in revised form: September 17, 2010
  • Published electronically: March 16, 2011
  • Additional Notes: The second author was partially supported by MTM2010-15256.
  • Communicated by: Bernd Ulrich
  • © Copyright 2011 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 3831-3843
  • MSC (2010): Primary 14M12, 14C05, 14H10, 14J10
  • DOI:
  • MathSciNet review: 2823030