FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 2, PAGES 423-431

**On a class of complete intersection Calabi--Yau manifolds in toric
manifolds**

A. V. Krotov

V. V. Rabotin

Abstract

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We consider the family of smooth $n$-dimensional toric
manifolds generalizing the family of Hirzebruch surfaces to
dimension $n$.
We analyze conditions under which there exists a Calabi--Yau complete
intersection of two ample hypersurfaces in these manifolds.
This turns out to be possible only if the toric manifold is
the product of projective spaces.
If one of the hypersurfaces is not ample then we find Calabi--Yau
complete intersection of two hypersurfaces in Fano manifolds of
the given family.

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Location: http://mech.math.msu.su/~fpm/eng/k01/k012/k01207h.htm.

Last modified: October 31, 2001.