This article is cited in 4 papers

Movable vs Monodromy Nilpotent Cones of Calabi–Yau Manifolds

Shinobu Hosono, Hiromichi Takagi

Department of Mathematics, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan

Abstract: We study mirror symmetry of complete intersection Calabi–Yau manifolds which have birational automorphisms of infinite order. We observe that movable cones in birational geometry are transformed, under mirror symmetry, to the monodromy nilpotent cones which are naturally glued together.

Keywords: Calabi–Yau manifolds; mirror symmetry; birational geometry; Hodge theory.

MSC: 14E05; 14E07; 14J33; 14N33

Received: September 11, 2017; in final form April 23, 2018; Published online May 2, 2018

Language: English

DOI: 10.3842/SIGMA.2018.039

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