Calabi-Yau Threefolds With Small Hodge Numbers

Authors: Philip Candelas, Andrei Constantin and Challenger Mishra Preprint Number: UUITP-06/16 We present a master list of Calabi-Yau threefolds, known to us, with small Hodge numbers, which we understand to be those manifolds with height (h1,1+h2,1)≤24. With the completion of a project to compute the Hodge numbers of all free quotients of complete intersection Calabi-Yau threefolds by Candelas et. al., many new points have been added to the tip of the Hodge plot, updating the reviews by Davies and Candelas. In view of this and other recent constructions of Calabi-Yau threefolds with small height we have produced an updated list. arXiv:1602.06303