### Abstract

In particular, we study relations on the first few Chern numbers of the trivial bundle to obtain restrictions on the values of a and b for sufficiently large ranks and primes. Finally, we use similar techniques to find restrictions on the values of p and r for which there exist modules of stable constant Jordan type [3][2][1].

Original language | English |
---|---|

Pages (from-to) | 343-350 |

Number of pages | 8 |

Journal | Journal of Algebra |

Volume | 346 |

Issue number | 1 |

Early online date | 8 Sep 2011 |

DOIs | |

Publication status | Published - 15 Nov 2011 |

### Fingerprint

### Keywords

- Modules of constant Jordan type
- Elementary abelian p-groups
- Vector bundles
- Chern numbers
- Projective space

### Cite this

*Journal of Algebra*,

*346*(1), 343-350. https://doi.org/10.1016/j.jalgebra.2011.08.023

**Modules of constant Jordan type with two non-projective blocks.** / Baland, Shawn.

Research output: Contribution to journal › Article

*Journal of Algebra*, vol. 346, no. 1, pp. 343-350. https://doi.org/10.1016/j.jalgebra.2011.08.023

}

TY - JOUR

T1 - Modules of constant Jordan type with two non-projective blocks

AU - Baland, Shawn

PY - 2011/11/15

Y1 - 2011/11/15

N2 - Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We investigate finitely generated kE-modules M of stable constant Jordan type [a][b] for 1¿a,b¿p-1 using the functors Fi from modules of constant Jordan type to vector bundles on projective space Pr-1 constructed by Benson and Pevtsova (in press) [3]. In particular, we study relations on the first few Chern numbers of the trivial bundle to obtain restrictions on the values of a and b for sufficiently large ranks and primes. Finally, we use similar techniques to find restrictions on the values of p and r for which there exist modules of stable constant Jordan type [3][2][1].

AB - Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We investigate finitely generated kE-modules M of stable constant Jordan type [a][b] for 1¿a,b¿p-1 using the functors Fi from modules of constant Jordan type to vector bundles on projective space Pr-1 constructed by Benson and Pevtsova (in press) [3]. In particular, we study relations on the first few Chern numbers of the trivial bundle to obtain restrictions on the values of a and b for sufficiently large ranks and primes. Finally, we use similar techniques to find restrictions on the values of p and r for which there exist modules of stable constant Jordan type [3][2][1].

KW - Modules of constant Jordan type

KW - Elementary abelian p-groups

KW - Vector bundles

KW - Chern numbers

KW - Projective space

U2 - 10.1016/j.jalgebra.2011.08.023

DO - 10.1016/j.jalgebra.2011.08.023

M3 - Article

VL - 346

SP - 343

EP - 350

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -