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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Costa, AF; Izquierdo, M.; Riera, G., One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions, Int. J. Math. Math. Sci., 2008, 1-18, (2008) Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Braden, T.; Proudfoot, N., The hypertoric intersection cohomology ring, Invent. Math., 177, 2, 337-379, (2009) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Toric varieties, Newton polyhedra, Okounkov bodies
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Christopher D. Hacon & James McKernan, ``Boundedness of pluricanonical maps of varieties of general type'', Invent. Math.166 (2006) no. 1, p. 1-25 Minimal model program (Mori theory, extremal rays), Rational and birational maps
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters D. Auroux, L. Katzarkov, and D. Orlov, ''Mirror Symmetry for Del Pezzo Surfaces: Vanishing Cycles and Coherent Sheaves,'' Invent. Math. 166(3), 537--582 (2006); arXiv:math/0506166. Calabi-Yau manifolds (algebro-geometric aspects), Rational and ruled surfaces, Fano varieties, Families, fibrations in algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Brezhnev, Yu.V.: On uniformization of Burnside's curve y2=x5 - x. J. math. Phys. 50, No. 10 (2009) Compact Riemann surfaces and uniformization, Elliptic curves over global fields, Special algebraic curves and curves of low genus, Basic hypergeometric integrals and functions defined by them
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Kato, T., Automata in groups and dynamics and tropical geometry, J. Geom. Anal., 24, 901-987, (2014) Geometric theory, characteristics, transformations in context of PDEs, Tropical geometry, Groups acting on trees, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Growth, boundedness, comparison of solutions to difference equations
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Mirror symmetry (algebro-geometric aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Proceedings of conferences of miscellaneous specific interest
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Varieties and morphisms, Divisors, linear systems, invertible sheaves, Other special types of modules and ideals in commutative rings, Hypersurfaces and algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters R. Harasawa, J. Shikata, J. Suzuki, H. Imai, Comparing the MOV and FR reductions in elliptic curve cryptography, in: Advances in Cryptology--Eurocrypt '99, Lecture Notes in Computer Science, Vol. 1592, Springer, Berlin, 1999, pp. 190--205. Cryptography, Applications to coding theory and cryptography of arithmetic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Meisters, G. M.: Wanted: a bad matrix. Am. math. Monthly 102, 546-550 (1995) Hermitian, skew-Hermitian, and related matrices, Birational automorphisms, Cremona group and generalizations
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters D. Drusvyatskiy, A. D. Ioffe, and A. S. Lewis, \textit{Generic minimizing behavior in semialgebraic optimization}, SIAM J. Optim., 26 (2016), pp. 513--534. Set-valued and variational analysis, Nonsmooth analysis, Sensitivity, stability, well-posedness, Sensitivity, stability, parametric optimization, Semialgebraic sets and related spaces, Semi-analytic sets, subanalytic sets, and generalizations
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Ranganathan, D., \textit{skeletons of stable maps I: rational curves in toric varieties}, J. Lond. Math. Soc. (2), 95, 804-832, (2017) Rigid analytic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Wiegand R.: Local rings of finite Cohen--Macaulay type. J. Algebra 203(1), 156--168 (1998) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative rings and modules of finite generation or presentation; number of generators, Cohen-Macaulay modules, Hypersurfaces and algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Fantechi, B.; Göttsche, L.; van Straten, D., Euler number of the compactified Jacobian and multiplicity of rational curves, J. algebraic geom., 8, 1, 115-133, (1999) Jacobians, Prym varieties, Topological properties in algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Salvatore Giuffrida, Graded Betti numbers and Rao modules of curves lying on a smooth cubic surface in \?³, The Curves Seminar at Queen's, Vol. VIII (Kingston, ON, 1990/1991) Queen's Papers in Pure and Appl. Math., vol. 88, Queen's Univ., Kingston, ON, 1991, pp. Exp. A, 61. Plane and space curves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special surfaces, Projective techniques in algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters H. Bresinsky, F. Curtis, M. Fiorentini, and L. T. Hoa, On the structure of local cohomology modules for monomial curves in \?³_{\?}, Nagoya Math. J. 136 (1994), 81 -- 114. Plane and space curves, Local cohomology and algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Hacon, CD; Pardini, R, Surfaces with \(pg = q = 3\), Trans. Am. Math. Soc., 354, 2631-2638, (2002) Surfaces of general type, Families, moduli, classification: algebraic theory
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Henrik Bresinsky, Peter Schenzel, and Wolfgang Vogel, On liaison, arithmetical Buchsbaum curves and monomial curves in \?³, J. Algebra 86 (1984), no. 2, 283 -- 301. Special algebraic curves and curves of low genus, Low codimension problems in algebraic geometry, Multiplicity theory and related topics, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Projective analytic geometry, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters ----, The structure of a Laurent polynomial fibration in \(n\) variables , J. Algebra 353 (2012), 142-157. Affine fibrations, Polynomial rings and ideals; rings of integer-valued polynomials, Commutative rings and modules of finite generation or presentation; number of generators
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Homotopy theory and fundamental groups in algebraic geometry, Topological properties in algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Foundations of tropical geometry and relations with algebra, Orders in separable algebras, Groups with a \(BN\)-pair; buildings
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Langlands-Weil conjectures, nonabelian class field theory, Grassmannians, Schubert varieties, flag manifolds, Representation-theoretic methods; automorphic representations over local and global fields
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Semialgebraic sets and related spaces, Projective techniques in algebraic geometry, Convex sets in \(n\) dimensions (including convex hypersurfaces), Inequalities and extremum problems involving convexity in convex geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Cohomology theory for linear algebraic groups, Exceptional groups, Galois cohomology of linear algebraic groups, Galois cohomology, Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Relationships between algebraic curves and integrable systems, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, Model-theoretic algebra
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Umbral calculus, Singularities of curves, local rings, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Semialgebraic sets and related spaces, Numerical aspects of computer graphics, image analysis, and computational geometry, Complexity and performance of numerical algorithms, Analysis of algorithms and problem complexity
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Algebraic cycles, Rationality questions in algebraic geometry, (Co)homology theory in algebraic geometry, \(3\)-folds, Rationally connected varieties
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Kosarew, S.: Local moduli spaces and kuranishi maps, Manuscripta math. 110, No. 2, 237-249 (2003) Complex-analytic moduli problems, Local deformation theory, Artin approximation, etc.
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Riedtmann, Ch., Zwara, G.: The zero set of semi-invariants for extended Dynkin quivers. Trans. Am. Math. Soc. \textbf{360}(12), 6251-6267 (2009i:14064) (2008) \textbf{(MR2434286)} Geometric invariant theory, Representations of quivers and partially ordered sets
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Coverings of curves, fundamental group, Special divisors on curves (gonality, Brill-Noether theory)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Special divisors on curves (gonality, Brill-Noether theory), Syzygies, resolutions, complexes and commutative rings
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Virasoro and related algebras
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters He, Y-H; Read, J, Dessins denfants in \( {\mathcal{N}} =2 \) generalised quiver theories, JHEP, 08, 085, (2015) Supersymmetric field theories in quantum mechanics, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Dessins d'enfants theory
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Mirror symmetry (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Special polytopes (linear programming, centrally symmetric, etc.), Toric varieties, Newton polyhedra, Okounkov bodies
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters General geometric structures on manifolds (almost complex, almost product structures, etc.), Global differential geometry of Hermitian and Kählerian manifolds, Issues of holonomy in differential geometry, Calabi-Yau manifolds (algebro-geometric aspects)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Permutations, words, matrices, Exact enumeration problems, generating functions, Families, moduli of curves (algebraic), Combinatorial aspects of algebraic geometry, Combinatorial aspects of representation theory
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Vector bundles on curves and their moduli, Fano varieties
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Elliptic curves over global fields, Curves over finite and local fields, Elliptic curves, Asymptotic results on counting functions for algebraic and topological structures
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Singularities in algebraic geometry, Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Semialgebraic sets and related spaces, Model theory of ordered structures; o-minimality
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Calabi-Yau manifolds (algebro-geometric aspects), Holomorphic symplectic varieties, hyper-Kähler varieties, Transcendental methods of algebraic geometry (complex-analytic aspects), Kähler-Einstein manifolds, Calabi-Yau theory (complex-analytic aspects)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters V. Dragović, Billiard algebra, integrable line congruences and DR-nets, J. Nonlinear Mathematical Physics, 19, (2012) Relationships between algebraic curves and integrable systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Descriptive geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters A. M. Mustaţă and A. Mustaţă, The structure of a local embedding and Chern classes of weighted blow-ups , J. Eur. Math. Soc. 14 (2012), no. 6, 1739-1794. Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, Families, moduli of curves (algebraic)
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Willem Veys.- Zeta functions for curves and log canonical models. Proceedings of the London Mathematical Society, 74 :360-378 (1997). Zbl0872.32022 MR1425327 Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Minimal model program (Mori theory, extremal rays), Local ground fields in algebraic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Authentication, digital signatures and secret sharing, Applications to coding theory and cryptography of arithmetic geometry
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Breuil, Christophe, Correspondance de Langlands \(p\)-adique, compatibilité local-global et applications [d'après Colmez, Emerton, Kisin, \(...\)], Astérisque, 348, Exp. No. 1031, viii, 119-147, (2012) Local ground fields in algebraic geometry, Langlands-Weil conjectures, nonabelian class field theory, Representation-theoretic methods; automorphic representations over local and global fields, Representations of Lie and linear algebraic groups over local fields, Geometric Langlands program: representation-theoretic aspects
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters C.A. Micchelli, D.-X. Zhou, Refinable functions: positivity and interpolation, Anal. Appl., 2003, to appear. Nontrigonometric harmonic analysis involving wavelets and other special systems, Interpolation in approximation theory, General harmonic expansions, frames
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Sauer, T.: Differentiability of multivariate refinable functions and factorization. Adv. Comput. Math. 26(1--3), 211--235 (2006) Numerical methods for wavelets
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--------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters Chen, Z., Wu, B., Xu, Y.: Fast collocation methods for high dimensional weakly singular integral equations. J. Integral Equations Appl. 20, 49--92 (2008) Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Regular local rings, Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Regular local rings, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Eyral C., IMPAN Lecture Notes 3, in: Topics in Equisingularity Theory (2016) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Singularities in algebraic geometry, Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects), Equisingularity (topological and analytic), Milnor fibration; relations with knot theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Orlando Villamayor U., On equiresolution and a question of Zariski, Acta Math. 185 (2000), no. 1, 123 -- 159. Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Shokurov, V.V.: Numerical geometry of algebraic varieties. Proc. ICM 1986 (to appear) Minimal model program (Mori theory, extremal rays), Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Ogoma, T., General Néron desingularization based on the idea of Popescu, J. Algebra, 167, 57-84, (1994) Étale and flat extensions; Henselization; Artin approximation, Regular local rings, Global theory and resolution of singularities (algebro-geometric aspects), Excellent rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Equisingularity (topological and analytic), Homogeneous spaces and generalizations
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Kang Chunghyuk: Analytic types of plane curve singularities defined by weighted homogeneous polynomials. Trans. AMS 352(9), 3995--4006 (2000) Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Vaquié, Michel, Irrégularité des revêtements cycliques des surfaces projectives non singulières, Amer. J. math., 114, 6, 1187-1199, (1992), MR 1198299 (94d:14015) Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Tevelev, J.: On a question of B. Teissier. Collect. math. 65, No. 1, 61-66 (2014) Global theory and resolution of singularities (algebro-geometric aspects), Embeddings in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) H. Biosca, Caractérisation de l'existence de polynômes de Bernstein relatifs associés à une famille d'applications analytiques, C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), no. 4, 395-398. Equisingularity (topological and analytic), Deformations of complex singularities; vanishing cycles, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) M. Reid, \textit{Minimal models of canonical} 3\textit{-folds}, in \textit{Algebraic varieties and analytic varieties (Tokyo, 1981)}, \textit{Adv. Stud. Pure Math.}\textbf{1} (1983) 131, North-Holland, Amsterdam, The Netherlands. \(3\)-folds, Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.1006/jabr.1996.7014 Valuations and their generalizations for commutative rings, Arithmetic theory of algebraic function fields, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Algebraic functions and function fields in algebraic geometry, Regular local rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Multiplicity theory and related topics, Regular local rings, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Valuations and their generalizations for commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Assi, A.: Meromorphic plane curves. Math. Z. 230(1), 16--183 (1999) Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Divisors, linear systems, invertible sheaves, Schemes and morphisms
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) E. Shustin, Gluing of singular and critical points. \textit{Topology}\textbf{37} (1998), 195-217. MR1480886 Zbl 0905.14008 Global theory and resolution of singularities (algebro-geometric aspects), Equisingularity (topological and analytic), Topological properties in algebraic geometry, Singularities in algebraic geometry, Singularities of curves, local rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.1080/00927879408825128 Regular local rings, Multiplicity theory and related topics, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Formal power series rings, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Cutkosky S.D., Duke Math. J 57 pp 175-- (1988) Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Local rings and semilocal rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Valuations and their generalizations for commutative rings, Regular local rings, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Chunghyuk Kang, Topological classification of irreducible plane curve singularities in terms of Weierstrass polynomials, Proc. Amer. Math. Soc. 123 (1995), no. 5, 1363 -- 1371. Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Global theory of complex singularities; cohomological properties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Lejeune-Jalabert, M.: Linear systems with infinitely near base conditions and complete ideals in dimension two. (1991) Divisors, linear systems, invertible sheaves, Regular local rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) R. Bondil, Discriminant of a generic projection of a minimal normal surface singularity, C.R. Acad. Sci. Paris, Ser. I 337, 195--200, (2003). Singularities of surfaces or higher-dimensional varieties, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative Noetherian rings and modules, Global theory and resolution of singularities (algebro-geometric aspects), Regular local rings, Rational and birational maps, Dimension theory, depth, related commutative rings (catenary, etc.)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Milnor fibration; relations with knot theory, Global theory and resolution of singularities (algebro-geometric aspects), Equisingularity (topological and analytic)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Bierstone, Edward; Vera Pacheco, Franklin, Resolution of singularities of pairs preserving semi-simple normal crossings, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas. RACSAM, 107, 159-188, (2013) Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Divisors, linear systems, invertible sheaves, Invariants of analytic local rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Equisingularity (topological and analytic), Global theory of complex singularities; cohomological properties, Deformations of complex singularities; vanishing cycles
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Étale and flat extensions; Henselization; Artin approximation, Local structure of morphisms in algebraic geometry: étale, flat, etc., Regular local rings, Henselian rings, Software, source code, etc. for problems pertaining to commutative algebra, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Divisors, linear systems, invertible sheaves, Invariants of analytic local rings, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Lesieutre, J.: A pathology of asymptotic multiplicity in the relative setting. (2015) Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Abhyankar, S.S.: Pillars and towers of quadratic transformations. Proc. Am. Math. Soc. 139, 3067--3082 (2011) Relevant commutative algebra, Regular local rings, Valuation rings, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Y. Kawamata, Crepant blowing-ups of \(3\)-dimensional canonical singularities and its application to degenerations of surfaces , Tokyo University, preprint. JSTOR: Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), \(3\)-folds, Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry, Families, moduli, classification: algebraic theory
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) [Ha2] E. Hironaka,Polynomial periodicity for Betti numbers of covering surfaces, Inventiones Mathematicae108 (1992), 289--321. Coverings in algebraic geometry, Classical real and complex (co)homology in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) DOI: 10.1090/S0002-9947-96-01613-3 Complete intersections, Global theory and resolution of singularities (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Esnault, Hélène; Seade, José; Viehweg, Eckart, Characteristic divisors on complex manifolds, J. Reine Angew. Math., 424, 17-30, (1992) Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Complex manifolds, Modifications; resolution of singularities (complex-analytic aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Foliations generated by dynamical systems, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Obstructions to group actions (\(K\)-theoretic aspects), General theory of group and pseudogroup actions, Foliations in differential topology; geometric theory, Equisingularity (topological and analytic), Singularities of holomorphic vector fields and foliations
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Regular local rings, Derivations and commutative rings
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), McKay correspondence, Group actions on varieties or schemes (quotients), Geometric invariant theory, Divisors, linear systems, invertible sheaves
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) E. Bierstone, P. Milman, and M. Temkin, \( \mathbb{Q}\)-universal desingularization, arXiv preprint 0905.3580v1 (2009). Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Equisingularity (topological and analytic), Global theory of complex singularities; cohomological properties
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Pfister, G.; Popescu, D., \textit{Construction of Neron Desingularization for Two Dimensional Rings}. arXiv:AC/1612.01827 Étale and flat extensions; Henselization; Artin approximation, Local structure of morphisms in algebraic geometry: étale, flat, etc., Regular local rings, Global theory and resolution of singularities (algebro-geometric aspects)
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Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Segre, C.: Mehrdimensionale Räume. Encyklopädie der Mathematischen Wissenschaften, vol. 3-2-2a. B.G. Teubner, Leipzig (1912) Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Equisingularity (topological and analytic)
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