ACM bundles, quintic threefolds and counting problems

N. Mohan Kumar; Aroor Rao

Open Mathematics (2012)

  • Volume: 10, Issue: 4, page 1380-1392
  • ISSN: 2391-5455

Abstract

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We review some facts about rank two arithmetically Cohen-Macaulay bundles on quintic threefolds. In particular, we separate them into seventeen natural classes, only fourteen of which can appear on a general quintic. We discuss some enumerative problems arising from these.

How to cite

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N. Mohan Kumar, and Aroor Rao. "ACM bundles, quintic threefolds and counting problems." Open Mathematics 10.4 (2012): 1380-1392. <http://eudml.org/doc/269678>.

@article{N2012,
abstract = {We review some facts about rank two arithmetically Cohen-Macaulay bundles on quintic threefolds. In particular, we separate them into seventeen natural classes, only fourteen of which can appear on a general quintic. We discuss some enumerative problems arising from these.},
author = {N. Mohan Kumar, Aroor Rao},
journal = {Open Mathematics},
keywords = {Vector bundles; Quintic threefolds; Arithmetically Cohen-Macaulay; vector bundles; quintic threefolds},
language = {eng},
number = {4},
pages = {1380-1392},
title = {ACM bundles, quintic threefolds and counting problems},
url = {http://eudml.org/doc/269678},
volume = {10},
year = {2012},
}

TY - JOUR
AU - N. Mohan Kumar
AU - Aroor Rao
TI - ACM bundles, quintic threefolds and counting problems
JO - Open Mathematics
PY - 2012
VL - 10
IS - 4
SP - 1380
EP - 1392
AB - We review some facts about rank two arithmetically Cohen-Macaulay bundles on quintic threefolds. In particular, we separate them into seventeen natural classes, only fourteen of which can appear on a general quintic. We discuss some enumerative problems arising from these.
LA - eng
KW - Vector bundles; Quintic threefolds; Arithmetically Cohen-Macaulay; vector bundles; quintic threefolds
UR - http://eudml.org/doc/269678
ER -

References

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