Full paper in PDF format:
$%M. C. Brambilla, Semistability of certain bon a quintic Calabi-Yau threefold, Rev. Mat. Complut. 22 (2009), no. 1, 53–61.%$

Semistability of Certain Bundles on a Quintic Calabi-Yau Threefold
Maria Chiara BRAMBILLA
Dipartimento di Matematica e Applicazioni per l’Architettura
UniversitÓ di Firenze
piazza Ghiberti, 27
50122, Florence — Italy

brambilla@math.unifi.it

Received: January 16, 2008
Accepted: February 11, 2008

ABSTRACT

In a recent paper Douglas and Zhou aim for explicit examples of string theory compactifications that have a different number of generations and can be connected. For this purpose, they provide a list of bundles on a quintic Calabi-Yau threefold. They need to show that (at least some of) these bundles are semistable and leave this as an open question. In this paper we prove the semistability of most of the bundles in the list, thus completing the result of Douglas and Zhou.

Key words: semistability, vector bundles.
2000 Mathematics Subject Classification:
14J60, 14F05.