Movable cones of complete intersections of multidegree one on products of projective spaces

• Michael Hoff ^[1] ; Isabel Stenger ^[2] ; José Ignacio Yáñez ^[3]
  1. [1] Saarbrücken, Germany
  2. [2] Institute of Algebraic Geometry, Leibniz University Hannover, Germany
  3. [3] UCLA Mathematics Department, USA

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 1, 2025
• Idioma: inglés
• DOI: 10.1007/s00029-024-01005-6
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• Resumen

  • We study Calabi–Yau manifolds which are complete intersections of hypersurfaces of multidegree 1 in an m-fold product of n-dimensional projective spaces. Using the theory of Coxeter groups, we show that the birational automorphism group of such a Calabi–Yau manifold X is infinite and a free product of copies of Z. Moreover, we give an explicit description of the boundary of the movable cone Mov(X). In the end, we consider examples for the general and non-general case and picture the movable cone and the fundamental domain for the action of Bir(X).

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