All toric local complete intersection singularities admit projectivecrepant resolutions

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概要

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• It is known that the underlying spaces of all abelian quotient singularities which are embeddable as complete intersections of hypersurfaces in an affine space can be overall resolved by means of projective torus-equivariant crepant birational morphisms in all dimensions. In the present paper we extend this result to the entire class of toric local complete intersection singularities. Our strikingly simple proof makes use of Nakajima's classification theorem and of some techniques from toric and discrete geometry.

• 東北大学の論文

著者

• Haase Christian

  Fachbereich Mathematik Technische Universitat Berlin

• Dais Dimitrios

  Section of Algebra and Geometry, Mathematics Department, University ofIoannina

• Ziegler GunterM.

  FachbereichMathemati, Technische UniversitatBerlinion

• Dais Dimitrios

  Section Of Algebra And Geometry Mathematics Department University Ofioannina

• Ziegler Gunterm.

  Fachbereichmathemati Technische Universitatberlinion

関連論文

• All toric local complete intersection singularities admit projectivecrepant resolutions

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