On crepant resolutions of 2-parameter series of Gorenstein cyclic quotient singularities
DOI10.1007/BF03322085zbMath0924.14003arXivmath/9803096OpenAlexW2059328825MaRDI QIDQ1126956
Martin Henk, Dimitrios I. Dais, Utz-Uwe Haus
Publication date: 3 November 1999
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9803096
cyclic quotient singularitiesGorenstein singularitiescrepant resolutiontoric geometryterminal singularitiescanonical singularities
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Homogeneous spaces and generalizations (14M17) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Local complex singularities (32S05)
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- Toroidal embeddings. I
- Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. (On four-dimensional Riemann surfaces of many-valued analytic functions of two complex variables)
- On semi-regular finite continued fractions
- On the Euler number of an orbifold
- On the average number of steps in the Euclidean algorithm
- Linear Gale transforms and Gelfand-Kapranov-Zelevinskij decompositions
- On resolutions of cyclic quotient singularities
- All abelian quotient C. I. -singularities admit projective crepant resolutions in all dimensions
- Hilbert bases, unimodular triangulations, and binary covers of rational polyhedral cones
- A normal \((0,1)\)-polytope none of whose regular triangulations is unimodular
- Origins of the analysis of the Euclidean algorithm
- An algorithmic desingularization of 3-dimensional toric varieties
- D-branes and quotient singularities of Calabi-Yau four-folds.
- Hilbert modular surfaces
- Minimal generating system, essential divisors and \(G\)-desingularisation of toric varieties
- Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
- Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
- Local classification of quotients of complex manifolds by discontinuous groups
- Introduction to Toric Varieties. (AM-131)
- Terminal Quotient Singularities in Dimensions Three and Four
- Construction géométrique de la correspondance de McKay
- Decompositions of Rational Convex Polytopes
- The McKay correspondence for finite subgroups of SL(3,\C)
- Support polygons and the resolution of modular functional singularities
- The number of steps in the Euclidean algorithm