Reflection groups in algebraic geometry
DOI10.1090/S0273-0979-07-01190-1zbMath1278.14001arXivmath/0610938OpenAlexW2077361150WikidataQ94970120 ScholiaQ94970120MaRDI QIDQ5503657
Publication date: 16 January 2009
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610938
Birational automorphisms, Cremona group and generalizations (14E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) (K3) surfaces and Enriques surfaces (14J28) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Singularities of curves, local rings (14H20) Reflection groups, reflection geometries (51F15) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the maximal dimension of Lorentz lattices with cofinite reflection group
- Periods of Enriques surfaces
- The two most algebraic K3 surfaces
- Automorphisms of Enriques surfaces
- On automorphisms of Enriques surfaces
- Automorphism groups of Lorentzian lattices
- Symétries des surfaces rationelles génériques. (Symmetries of generic rational surfaces)
- Automorphism groups of generic rational surfaces
- Principal \(G\)-bundles over elliptic curves
- Invariant theory for generalized root systems
- Simple singularities and simple algebraic groups
- Arrangements defined by unitary reflection groups
- Automorphisms of algebraic K3 surfaces which act trivially on Picard groups
- The Leech lattice and complex hyperbolic reflections
- Monodromy of hypergeometric functions and non-lattice integral monodromy
- The monodromy groups of isolated singularities of complete intersections
- The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
- Discrete groups generated by reflections
- Problème de Riemann et fonctions automorphes provenant des fonctions hypergeometriques de plusieurs variables
- Dynamics of rational surface automorphisms: linear fractional recurrences
- Geometric structures on the complement of a projective arrangement
- Dynamics on blowups of the projective plane
- Die Auflösung der rationalen Singularitäten holomorpher Abbildungen
- Rational singularities, with applications to algebraic surfaces and unique factorization
- The geometry of some special arithmetic quotients
- Über die analytische Theorie der quadratischen Formen
- The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
- The moduli space of cubic threefolds as a ball quotient
- The complex hyperbolic geometry of the moduli space of cubic surfaces
- Groupes et algébras de Lie
- On automorphisms of nodal Enriques surfaces
- Braids, hypergeometric functions, and lattices
- Rational Surfaces with Infinite Automorphism Group and No Antipluricanonical Curve
- A Note on Symmetry of Singularities
- On classification of Lorentzian Kac-Moody algebras
- Unitary reflection groups associated with singularities of functions with cyclic symmetry
- A complex hyperbolic structure for the moduli space of curves of genus three
- Birational automorphisms of quartic Hessian surfaces
- Finite Subgroups of the Plane Cremona Group
- Singular Points of Complex Hypersurfaces. (AM-61)
- A complex ball uniformization of the moduli space of cubic surfaces via periods ofK3 surfaces
- Finite Unitary Reflection Groups
- On the Structure of a Certain Class of Kaehler Varieties
- Invariants of Finite Groups Generated by Reflections
- Reflection groups and invariant theory