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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Sebö, A.: Hilbert bases, Carathéodory's theorem and combinatorial optimization. In: Proceedings of the IPCO Conference, Waterloo, pp. 431-455 (1990) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies F. Sottile, \textit{Real Solutions to Equations from Geometry}, American Mathematical Society, Providence, RI, 2011. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Real algebraic and real-analytic geometry, Polynomials in real and complex fields: location of zeros (algebraic theorems), Topology of real algebraic varieties, Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Enumerative problems (combinatorial problems) in algebraic geometry, Classical problems, Schubert calculus
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Local ground fields in algebraic geometry, Algebraic theory of abelian varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Theta functions and abelian varieties
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Kaveh, K., Khovanskii, A.G.: Algebraic equations and convex bodies. In: Itenberg, I., Jöricke, B., Passare, M. (eds.) Perspectives in Analysis, Geometry, and Topology, on the Occasion of the 60th Birthday of Oleg Viro, Progress in Mathematics, vol. 296, pp. 263-282. Birkhäuser Verlag Ag (2012) Mixed volumes and related topics in convex geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), \(n\)-dimensional polytopes, Special polytopes (linear programming, centrally symmetric, etc.)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Karp, D; Ranganathan, D; Riggins, P; Whitcher, U, Toric symmetry of \(\mathbb{CP}^3\), Adv. Theor. Math. Phys., 4, 1291-1314, (2012) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Narayan K 2010 On nonsupersymmetric , tachyons, terminal singularities and flips \textit{J. High Energy Phys.} JHEP03(2010)019 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, Space-time singularities, cosmic censorship, etc., Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Renormalization group methods applied to problems in quantum field theory, Toric varieties, Newton polyhedra, Okounkov bodies, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Singularities of surfaces or higher-dimensional varieties, Minimal model program (Mori theory, extremal rays)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies H. S. PARK, The Chow rings and GKZ-decompositions for (^-factorial toric varieties, Thoku Math J. 45 (1993), 109-145. Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Parametrization (Chow and Hilbert schemes), Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Saito, Mutsumi, Logarithm-free \(A\)-hypergeometric series, Duke Math. J., 115, 1, 53-73, (2002) Other hypergeometric functions and integrals in several variables, Toric varieties, Newton polyhedra, Okounkov bodies, Commutative rings of differential operators and their modules, Rings of differential operators (associative algebraic aspects)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Dickenstein, A.; Rocco, S.; Piene, R., Higher order duality and toric embeddings, Ann. Inst. Fourier, 64, 375-400, (2014) Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Blickle M. (2001). Cartier isomorphism for toric varieties. J. Algebra 237(1): 342--357 Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies, de Rham cohomology and algebraic geometry
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Fano varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Families, moduli of curves (algebraic)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies M. J. Saia, The integral closure of ideals and the Newton filtration, J. Algebra Geom., 5 (1996), 1--11. Toric varieties, Newton polyhedra, Okounkov bodies, Integral closure of commutative rings and ideals
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Emilio Briales, Pilar Pisón, Antonio Campillo, and Carlos Marijuán, Combinatorics of syzygies for semigroup algebras, Collect. Math. 49 (1998), no. 2-3, 239 -- 256. Dedicated to the memory of Fernando Serrano. Syzygies, resolutions, complexes and commutative rings, Simplicial sets and complexes in algebraic topology, Toric varieties, Newton polyhedra, Okounkov bodies, Semigroup rings, multiplicative semigroups of rings
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Homotopy theory and fundamental groups in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies M. McCoNNELL, The Rational Homology of Toric Varieties is not a Combinatorial Invariant Proc. Amer. Math. Soc. 105 (1989), 986-991. JSTOR: Polytopes and polyhedra, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Braden, T., Lunts, V.A.: Equivariant-constructible Koszul duality for dual toric varieties. Adv. Math. 201(2), 408--453 (2006) Toric varieties, Newton polyhedra, Okounkov bodies, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Calabi-Yau manifolds (algebro-geometric aspects), Equivariant homology and cohomology in algebraic topology
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies C. Macmeikan, Modules of derivations for toral arrangements, Indag. Math. (N.S.) 15(2) (2004), 257\Ndash267. \small\texttt DOI: 10.1016/S0019- \small\texttt 3577(04)90018-3. Toric varieties, Newton polyhedra, Okounkov bodies, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Configurations and arrangements of linear subspaces, Linear algebraic groups over the reals, the complexes, the quaternions
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Complete intersections, Linear Diophantine equations, Special algebraic curves and curves of low genus, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies A. Amariti, C. Klare, D. Orlando and S. Reffert, \textit{The M-theory origin of global properties of gauge theories}, arXiv:1507.04743 [INSPIRE]. Yang-Mills and other gauge theories in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, String and superstring theories in gravitational theory, Applications of Lie (super)algebras to physics, etc., Toric varieties, Newton polyhedra, Okounkov bodies, Applications of Lie groups to the sciences; explicit representations
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Mixed volumes and related topics in convex geometry, \(n\)-dimensional polytopes, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Numerical computation of solutions to systems of equations, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, Toric varieties, Newton polyhedra, Okounkov bodies, Effectivity, complexity and computational aspects of algebraic geometry, Complexity and performance of numerical algorithms
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies T. Nishinou, B. Siebert, Toric degenerations of toric varieties and tropical curves. \textit{Duke Math}. \textit{J}. \textbf{135} (2006), 1-51. MR2259922 Zbl 1105.14073 Enumerative problems (combinatorial problems) in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Teissier, B.: Overweight deformations of affine toric varieties and local uniformization. In: Campillo, A., Kehlmann, F.-V., Teissier, B. (eds.) Valuation Theory in Interaction. Proceedings of the Second International Conference on Valuation Theory, Segovia-El Escorial, 2011. Congress Reports Series, Sept 2014. European Mathematical Society Publishing House, Zürich, pp. 474-565 (2014) Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Abreu, M., Kähler-Sasaki geometry of toric symplectic cones in action-angle coordinates, Port. Math., 67, 2, 121-153, (2010), MR 2662864 Special Riemannian manifolds (Einstein, Sasakian, etc.), Toric varieties, Newton polyhedra, Okounkov bodies, Kähler-Einstein manifolds, Momentum maps; symplectic reduction, Global differential geometry of Hermitian and Kählerian manifolds
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies T. Coates, A. Corti, H. Iritani, H.-H. Tseng, A mirror theorem for toric stacks. \textit{Compos. Math}. \textbf{151} (2015), 1878-1912. MR3414388 Zbl 1330.14093 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Generalizations (algebraic spaces, stacks)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Toric varieties, Newton polyhedra, Okounkov bodies, Fano varieties, Enumeration in graph theory
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Renner, L. E., ''Algebraic monoids,'' Univ. of British Columbia, 1982. Semigroups of transformations, relations, partitions, etc., Linear algebraic groups over arbitrary fields, Generalizations (algebraic spaces, stacks), General structure theory for semigroups, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Groups acting on specific manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Momentum maps; symplectic reduction
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Campillo, A., Pisón, P.: Toric mathematics from semigroup viewpoint. In: Ring Theory and Algebraic Geometry (León, 1999). Volume 221 of Lecture Notes in Pure and Applied Mathematics, pp. 95-112. Dekker, New York (2001) Commutative semigroups, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Ishii, S.; Brasselet, J-P (ed.); etal., A resolution of singularities of a toric variety and non-degenerate hypersurface, 354-369, (2007), Hackensack Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Hypersurfaces and algebraic geometry
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Charalambous, H.; Katsabekis, A.; Thoma, A., Minimal systems of binomial generators and the indispensable complex of a toric ideal, \textit{Proc. Am. Math. Soc.}, 135, 3443-3451, (2007) Polynomial rings and ideals; rings of integer-valued polynomials, Graph theory, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Helmer, M.; Sturmfels, B., Nearest points on toric varieties, Math. Scand., 122, 213-238, (2018) Toric varieties, Newton polyhedra, Okounkov bodies, Effectivity, complexity and computational aspects of algebraic geometry
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Philippon P., Sombra M.: Une nouvelle majoration pour le nombre de solutions d'un système d'équations polynomiales. C. R. Acad. Sci. Paris 345, 335--340 (2007) Toric varieties, Newton polyhedra, Okounkov bodies, Rational points
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Toric varieties, Newton polyhedra, Okounkov bodies, Linear algebraic groups over the reals, the complexes, the quaternions, Semigroups of transformations, relations, partitions, etc., Varieties and pseudovarieties of semigroups
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Geometric invariant theory, Families, moduli, classification: algebraic theory, Fano varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on varieties or schemes (quotients)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Syzygies, resolutions, complexes and commutative rings, Algebraic aspects of posets, Toric varieties, Newton polyhedra, Okounkov bodies, Combinatorial aspects of commutative algebra
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Lüst, D., T-duality and closed string non-commutative (doubled) geometry, Journal of High Energy Physics, 12, article no. 84, (2010) Noncommutative geometry methods in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Spinor and twistor methods applied to problems in quantum theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Fibrations, degenerations in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Grassi, A.; Hatsuda, Y.; Mariño, M., Topological strings from quantum mechanics, Ann. Henri Poincaré, 17, 11, 3177-3235, (2016) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Topological field theories in quantum mechanics, Nonperturbative methods of renormalization applied to problems in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies González Pérez, P.D., Singularités quasi-ordinaires toriques et polyèdre de Newton du discriminant, Canad. J. math., 52, 2, 348-368, (2000) Toric varieties, Newton polyhedra, Okounkov bodies, Complex surface and hypersurface singularities, Singularities in algebraic geometry, Germs of analytic sets, local parametrization
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Altınok, S.; Tosun, M.: Generators for semigroup of lipman, Bull. braz. Math. soc. 39, No. 1, 123-135 (2008) Toric varieties, Newton polyhedra, Okounkov bodies, Actions of groups on commutative rings; invariant theory, Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Toric varieties, Newton polyhedra, Okounkov bodies, Formal methods and deformations in algebraic geometry
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Edidin, D.; Graham, W.: Riemann-Roch for quotients and Todd classes of simplicial toric varieties. Comm. algebra 31, 3735-3752 (2003) Riemann-Roch theorems, Equivariant \(K\)-theory, Homogeneous spaces and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Cox, D.: Update on toric geometry. Sémin. congr. 6, 1-41 (2002) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Payne S.: Equivariant Chow cohomology of toric varieties. Math. Res. Lett. 13, 29--41 (2006) Toric varieties, Newton polyhedra, Okounkov bodies, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Azgin (now known as Durhan), S.; van den Dries, L., Elementary theory of valued fields with a valuation-preserving automorphism, J. Inst. Math. Jussieu, 9, 4, 1-35, (2010) Topology of real algebraic varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Pukhlikov, AV; Khovanskiĭ, AG, The Riemann-Roch theorem for integrals and sums of quasipolynomials on virtual polytopes, Algebra i Analiz, 4, 188-216, (1992) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Toric varieties, Newton polyhedra, Okounkov bodies, Riemann-Roch theorems
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Itenberg, I.; Mikhalkin, G.; Shustin, E., Oberwolfach Semin., 35, (2009), Birkhäuser Verlag: Birkhäuser Verlag, Basel Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Max-plus and related algebras, Toric varieties, Newton polyhedra, Okounkov bodies, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Topology of real algebraic varieties, Curves in algebraic geometry
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Hu, Y.; Liu, C-H; Yau, S-T, Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces, Adv. Theor. Math. Phys., 6, 457, (2003) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Fibrations, degenerations in algebraic geometry, \(4\)-folds
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Equivariant \(K\)-theory, Toric varieties, Newton polyhedra, Okounkov bodies, Topological \(K\)-theory, Equivariant homology and cohomology in algebraic topology, Topology and geometry of orbifolds
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Deformations of singularities, Infinitesimal methods in algebraic geometry, Families, moduli of curves (algebraic), Algebraic moduli of abelian varieties, classification, Special divisors on curves (gonality, Brill-Noether theory), Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Minimal model program (Mori theory, extremal rays)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Combinatorial aspects of tropical varieties, Arithmetic aspects of tropical varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies W. Fulton, \textit{Introduction to toric varieties}, Annals of Mathematics Studies, Princeton University Press, Princeton U.S.A. (1993). Toric varieties, Newton polyhedra, Okounkov bodies, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients), Homotopy theory and fundamental groups in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Polyhedra and polytopes; regular figures, division of spaces
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Étale and other Grothendieck topologies and (co)homologies, Toric varieties, Newton polyhedra, Okounkov bodies, Brauer groups of schemes, Homological methods (field theory)
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Continued fractions, Farey sequences; the sequences \(1^k, 2^k, \dots\), Continued fraction calculations (number-theoretic aspects), Continued fractions and generalizations, Diophantine approximation in probabilistic number theory, Toric varieties, Newton polyhedra, Okounkov bodies, General theory of group and pseudogroup actions, Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations, Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Convergence and divergence of continued fractions
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Configurations and arrangements of linear subspaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Discriminantal varieties and configuration spaces in algebraic topology, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies A. Grassi and V. Perduca, \textit{Weierstrass models of elliptic toric K}3 \textit{hypersurfaces and symplectic cuts}, arXiv:1201.0930 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Unified quantum theories, Gravitational interaction in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Combinatorial aspects of commutative algebra, General commutative ring theory, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Group actions on affine varieties, Compactifications; symmetric and spherical varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Derivations and commutative rings
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Applications of methods of algebraic \(K\)-theory in algebraic geometry, Riemann-Roch theorems, (Equivariant) Chow groups and rings; motives, Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on varieties or schemes (quotients)
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies M. Kapranov, B. Sturmfels and A.V. Zelevinsky, Chow polytopes and general resultants, \(Duke Math. Journal\), Vol 67, 1992, 189-218. Toric varieties, Newton polyhedra, Okounkov bodies, Enumerative problems (combinatorial problems) in algebraic geometry
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Peeva I., Stillman M., Toric Hilbert schemes, Duke Math. J., 2002, 111(3), 419--449 Parametrization (Chow and Hilbert schemes), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Toric varieties, Newton polyhedra, Okounkov bodies
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Group actions on varieties or schemes (quotients), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Symmetric functions and generalizations, Combinatorial aspects of representation theory, Hecke algebras and their representations, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Toric varieties, Newton polyhedra, Okounkov bodies, Combinatorial aspects of tropical varieties, Discriminantal varieties and configuration spaces in algebraic topology, Real polynomials: location of zeros, Polynomials in real and complex fields: location of zeros (algebraic theorems), Semialgebraic sets and related spaces, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
| 0
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Artebani, Michela; Comparin, Paola; Guilbot, Robin, Families of Calabi-Yau hypersurfaces in \(\mathbb{Q}\)-Fano toric varieties, J. Math. Pures Appl. (9), 106, 2, 319-341, (2016) Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Barnette, D.,An invertible non-polyhedral diagram. Israel J. Math.36 (1980), 86--96.
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies P. Mani: Spheres with few vertices. J. Comb. Theor. 13 (1972), 346--352
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Kleinschmidt, P, Sphären mit wenigen ecken, Geom. Dedicata, 5, 307-320, (1976)
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Schulz, Ch.; An Invertible 3-Diagram with 8 Vertices, Discrete Math. 28 (1979), 201--205
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Connelly, R. and Henderson, D. W., A convex 3-complex is not simplicially isomorphic to a strictly convex complex,Math. Proc. Cambridge Philos. Soc. 88 (1980), 299--306.
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies D. Barnette, ''Diagrams and Schlegel Diagrams,'' in Combinatorial Structures and Their Applications: Proc. Int. Conf., Calgary, 1969 (Gordon and Breach, New York, 1970), pp. 1--4.
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G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Variants of convex sets (star-shaped, (\(m, n\))-convex, etc.), Toric varieties, Newton polyhedra, Okounkov bodies Bokowski, J. andSturmfels, B.,Computational Synthetic Geometry. (Lecture Notes in Math., No. 1355). Springer, Berlin--Heidelberg--New York, 1989. Combinatorial aspects of matroids and geometric lattices, Research exposition (monographs, survey articles) pertaining to combinatorics, Grassmannians, Schubert varieties, flag manifolds, Configuration theorems in linear incidence geometry, Polytopes and polyhedra, Symbolic computation and algebraic computation, Combinatorial geometries and geometric closure systems, Discrete mathematics in relation to computer science
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Infinite-dimensional Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions, Sheaves in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over local fields and their integers, Loop groups and related constructions, group-theoretic treatment
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over local fields and their integers, Loop groups and related constructions, group-theoretic treatment
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Winkelmann, J. : On Discrete Zariski Dense Subgroups of Algebraic Groups . Math. Nachr. 186, 285-302 ( 1997 ) MR 98d:20052 | Zbl 0897.14015 Group varieties, Several topologies on one set (change of topology, comparison of topologies, lattices of topologies), Linear algebraic groups over local fields and their integers, Discrete subgroups of Lie groups, Topological properties in algebraic geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Gordienko, A. S., Algebras simple with respect to a sweedler's algebra action, \textit{J. Algebra Appl.}, 13, 1, 1350069-1-1350069-18, (2015) Identities, free Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Automorphisms, derivations, other operators for Lie algebras and super algebras, Hopf algebras and their applications, Representations of finite symmetric groups, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Infinite-dimensional Lie (super)algebras, Other algebraic groups (geometric aspects), Representation theory for linear algebraic groups, Infinite-dimensional Lie groups and their Lie algebras: general properties, Linear algebraic groups over arbitrary fields, Lie algebras of linear algebraic groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) I. V. Cherednik, Funct. Anal. Appl., 19, 193--206 (1985). Infinite-dimensional Lie (super)algebras, Classical groups (algebro-geometric aspects), Infinite-dimensional Lie groups and their Lie algebras: general properties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Partial differential equations of mathematical physics and other areas of application
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kač, VG; Peterson, DH, Infinite-dimensional Lie algebras, theta functions and modular forms, Adv. Math., 53, 125, (1984) Infinite-dimensional Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Holomorphic modular forms of integral weight, Representation-theoretic methods; automorphic representations over local and global fields, Infinite-dimensional Lie groups and their Lie algebras: general properties, Theta functions and abelian varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) J. C. Jantzen, \textit{Representations of Algebraic Groups. Second edition}, Amer. Math. Soc., Providence (2003). Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Group schemes, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over arbitrary fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) O. K. Sheinman, ''Krichever-Novikov Algebras, Their Representations and Applications,'' in Geometry, Topology, and Mathematical Physics. S. P. Novikov's Seminar 2002--2003, Ed. by V.M. Buchstaber and I.M. Krichever (Am. Math. Soc., Providence, R.I., 2004), pp. 297--316. Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Loop groups and related constructions, group-theoretic treatment, Vector bundles on curves and their moduli, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann-Hilbert problems in context of PDEs, Riemann surfaces; Weierstrass points; gap sequences
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Loop groups and related constructions, group-theoretic treatment, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on varieties or schemes (quotients), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie and linear algebraic groups over real fields: analytic methods
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Hain, R., Completions of mapping class groups and the cycle \(C - C^-\), Contemp. math., 150, 75-105, (1993) General low-dimensional topology, Families, moduli of curves (algebraic), Fundamental groups and their automorphisms (group-theoretic aspects), Algebraic cycles, Affine algebraic groups, hyperalgebra constructions, Infinite-dimensional Lie (super)algebras, Infinite-dimensional Lie groups and their Lie algebras: general properties, Rational homotopy theory, Differential topological aspects of diffeomorphisms
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Parshall, B.: Hyperalgebras, highest weight categories and finite dimensional algebras. Contemp. Math.110, 203--215 (1990) Representation theory for linear algebraic groups, Universal enveloping (super)algebras, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., Linear algebraic groups over arbitrary fields, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Module categories in associative algebras, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) [6] Jantzen J.\ C., Representations of Algebraic Groups, Academic Press, Orlando, 1987 Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Research exposition (monographs, survey articles) pertaining to group theory, Group schemes, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over arbitrary fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Haines, T., Rapoport, M.: Appendix: on parahoric subgroups. Adv. Math. \textbf{219}(1), 188-198 (2008); appendix to: Pappas, G., Rapoport, M.: Twisted loop groups and their affine flag varieties. Adv. Math. \textbf{219} (1), 118-198 (2008) Loop groups and related constructions, group-theoretic treatment, Modular and Shimura varieties, Linear algebraic groups over local fields and their integers, Grassmannians, Schubert varieties, flag manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) D. Fiorenza, H. Sati and U. Schreiber, \textit{Multiple M5-branes, String 2-connections and} 7\textit{d nonabelian Chern-Simons theory}, arXiv:1201.5277 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Eta-invariants, Chern-Simons invariants, Loop groups and related constructions, group-theoretic treatment, Infinite-dimensional Lie (super)algebras, Yang-Mills and other gauge theories in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories in gravitational theory, Supergravity
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Geometric Langlands program (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Representations of Lie and linear algebraic groups over local fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) R. F. Picken, J. Math. Phys., 31, 616--638 (1990). Integration on manifolds; measures on manifolds, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Loop groups and related constructions, group-theoretic treatment
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) H. Voskuil, Ultrametric uniformization and symmetric spaces, Thesis, Groningen, 1990. Analysis on \(p\)-adic Lie groups, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Differential geometry of symmetric spaces, Non-Archimedean analysis, Linear algebraic groups over local fields and their integers, Discrete subgroups of Lie groups, \(p\)-adic theory, Local ground fields in algebraic geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over local fields and their integers, Group schemes, Affine fibrations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Goresky, M; Kottwitz, R; MacPherson, R, Regular points in affine Springer fibers, Mich. Math. J., 53, 97-107, (2005) Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Loop groups and related constructions, group-theoretic treatment, Lie algebras of Lie groups, Grassmannians, Schubert varieties, flag manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) V. Kac, J. van~de Leur, Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions. arXiv:1801.02845. Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Schur and \(q\)-Schur algebras, Applications of Lie groups to the sciences; explicit representations, KdV equations (Korteweg-de Vries equations), PDEs on Heisenberg groups, Lie groups, Carnot groups, etc., Pseudodifferential operators
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Rubenthaler, H., Une dualité du type de Howe en dimension infinie, C. R. acad. sci. Paris, ser. I, 314, 6, 435-440, (1992) Graded Lie (super)algebras, Infinite-dimensional Lie (super)algebras, Homogeneous spaces and generalizations, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Conrad, B., Gabber, O., Prasad, G.: Pseudo-reductive groups, new mathematical monographs: \textbf{17}, Cambridge Univ.~Press, Cambridge, pp. 533 +xix (2010) Linear algebraic groups over arbitrary fields, Structure theory for linear algebraic groups, Research exposition (monographs, survey articles) pertaining to group theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Other algebraic groups (geometric aspects), Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Arithmetic theory of algebraic function fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) External book reviews, Linear algebraic groups over arbitrary fields, Structure theory for linear algebraic groups, Research exposition (monographs, survey articles) pertaining to group theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Other algebraic groups (geometric aspects), Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Arithmetic theory of algebraic function fields
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Conrad, B.; Prasad, G., Classification of pseudo-reductive groups, Annals of Mathematics Studies, (2015), Princeton University Press Linear algebraic groups over arbitrary fields, Structure theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Linear algebraic groups over local fields and their integers
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