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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: semialgebraic set; semialgebraic function; branched covering; branching locus; ramification set; ramification index; Zariski spectra; spectral map; collapsing set
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hirota tau function; quantum field theory; super algebraic geometry; affine super scheme; Virasoro uniformized super Riemann surfaces; super tau function; super theta function
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: quantum group; \(R\)-matrix; Heisenberg double; spectral completion; quantum top; Riemann theta function Isaev, A. P.; Pyatov, P., Spectral extension of the quantum group cotangent bundle, Comm. Math. Phys., 288, 1137-1179, (2009)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert schemes; spectral curves; integrable systems on loop algebras and loop groups; Lie-Poisson group structure; abelianisation; separation of variables; integrable Hamiltonian systems Hurtubise, J.; Markman, E., Surfaces and the Sklyanin bracket, Commun. Math. Phys., 230, 485-502, (2002)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: iterated torus knots; \(L\)-space surgery; Upsilon function; formal semigroup
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: spectral theory; integrable systems; Lie algebras; Jacobians; Prym varieties Lesfari, A., Théorie spectrale et problèmes non-linéaires, Surv. Math. Appl., 5, 141-180, (2010)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: integrable Hamiltonian systems; Hamilton-Jacobi theory; spectral theory; Korteweg-de Vries equation; hyperellipitic curve
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: \(\mathcal M\)ultivariate \(\mathcal Q\)uadratic polynomials; public key signature; hidden field equations; Matsumoto-Imai scheme A; C\(^*\); unbalanced oil and vinegar; stepwise triangular systems; equivalent keys; post-quantum cryptography Wolf, C.; Preneel, B., Equivalent keys in multivariate quadratic public key systems, J. Math. Cryptol., 4, 375-415, (2011)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Macaulay inverse system; classical Waring problem for forms; Hilbert function; smoothable length; scheme length Iarrobino, A, Inverse system of a symbolic power. II. the Waring problem for forms, J. Algebra, 174, 1091-1110, (1995)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: zero-dimensional subscheme of cubic surface; Hilbert function; linear systems
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: higher Neumann systems; spectral theory of linear differential operators of order n; scattering theory DOI: 10.1090/S0273-0979-1986-15444-3
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Reidemeister zeta functions; group endomorphism; continuous map; radius of convergence; Nielsen zeta function
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: deformations; \(p\)-group scheme; Honda systems
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: model of Josephson junction; dynamical systems on torus; rotation number function; phase-lock area; double confluent Heun equations
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: singular points with high multiplicity; linear systems; Hilbert scheme; normalizations of plane curves; principal components; arrangements; monodromy of nodes
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Schlesinger equations; Fuchsian systems; Darboux coordinates; Painlevé equations; Hamiltonian structure; apparent singularities; spectral coordinates; canonical transformations B. Dubrovin and M. Mazzocco, ''Canonical structure and symmetries of the Schlesinger equations,'' math.DG/0311261 (2003).
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: differential function field; algebraic differential equations; ADE; Galois theory; no movable singularity; Picard-Vessiot extension; Kolchin's theory; normal function fields; linearization property; complete integrable Hamiltonian systems; Euler equations Buium, A.: ''Differential function fields and moduli of algebraic varieties'', Lecture notes in math. 1226 (1986)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hodge bundle; ample vector bundle; function field; height; abelian scheme; Néron model; purely inseparable points; torsors; Tate-Shafarevich group; BSD conjecture; Tate conjecture
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: iterated mappings; dynamical systems; Coxeter groups; birational transformations; Cremona transformations; inversion relations; Yang- Baxter equations; automorphisms of algebraic varieties; elliptic curves; resonant tori; Plücker variables; quantum integrability; involutions; birational mappings; deformations M.P. Bellon, J.-M. Maillard, C.-M. Viallet, Dynamical systems from quantum integrability, in: J.-M. Maillard (Ed.), Proceedings of the Conference Yang--Baxter Equations in Paris, World Scientific, Singapore, 1993, pp. 95--124, Int. J. Mod. Phys.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: scheme-theoretic complete intersection; Euler-Cramer problem; Cayley- Bacharach property; Hilbert function E. Davis and P. Maroscia, Complete intersections in \( {{\mathbf{P}}^2}\), Proc. Conf. on Complete Intersections (Acireale, June 1983), Lecture Notes in Math., (in press).
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: integrable systems; conformally immersed tori; quaternionic holomorphic curves; spectral curves McIntosh, I.: The quaternionic KP hierarchy and conformally immersed 2-tori in the 4-sphere. http://arxiv.org/abs/0902.3598
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: local Hilbert scheme; compressed algebras; punctual Hilbert scheme; maximal Hilbert function Iarrobino, A.: Compressed algebras and components of the punctual hubert scheme. Springer lecture notes #1124, 146-165 (1985)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: function of sequences of matrices; deter-cube; cubic determinant; linearly independent systems of quadrics
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: algebraic \(K\)-theory; motivic cohomology; motivic spectral sequence; framed correspondences; Hilbert scheme
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Serre-spectral sequence; Schubert calculus; filling radius Katz, M.: The rational filling radius of complex projective space. Topology appl. 42, 201-215 (1991)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: linear differential operator; integrable systems; the sigma-function; Abel map
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: postulation; zero-dimensional scheme; Hilbert function
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert function; fat point scheme; regularity index; Kähler differential module
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert function; Betti numbers; liaison; arithmetically Cohen-Macaulay scheme; partial intersection schemes
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: field of one element; zeta-function; monoidal scheme; reductive group; regularized determinant; counting functions Deitmar, A.; Koyama, S.; Kurokawa, N., Counting and zeta functions over \(\mathbb{F}_1\), Abhandlungen math. sem. univ. hambg., 85, 59-71, (2015)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Dedekind eta function; eta products; Fourier coefficient; punctual Hilbert scheme
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: compatible systems of Galois representations; independence of algebraic monodromy groups; automorphic compatible systems; compatible systems over global function fields
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: linear systems; rational normal curves; bounds for the regularity index of fat points; Hilbert function of the coordinate ring Trung, N. V.: An algebraic approach to the regularity index of fat points in P2, Kodai math. J. 17, No. 3, 382-389 (1994)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: hypergeometric functions; hyperplane; Beta function; polylogarithms; Bloch-Wigner function; local systems; Gauss-Manin connection; logarithmic differentials; monodromy; braid groups; quantum groups A. Varchenko, Multidimensional hypergeometric functions in conformal field theory, algebraic \(K\)-theory, algebraic geometry , Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), Math. Soc. Japan, Tokyo, 1991, pp. 281-300.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: dimension of linear systems of curves; Hilbert polynomial; generic Hilbert function; rational surfaces; zero-cycles B. Harbourne, \textit{The geometry of rational surfaces and Hilbert functions of points in the} \textit{plane}, in: Proceedings of the 1984 Vancouver Conference in Algebraic Geometry, CMS Conf. Proc. 6, Amer. Math. Soc., Providence, RI, 1986, 95--111. [30] B. Harbourne, \textit{Free resolutions of fat point ideals on }P2, J. Pure Appl. Algebra 125 (1998), 213--234.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: complex algebraic geometry; fat points scheme; collisions of fat points; degeneration of linear systems; interpolation theory; Laface-Ugaglia conjecture
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: connective \(K\)-theory; quasi-projective scheme; Brown-Gersten-Quillen spectral sequence Shuang Cai, Algebraic connective \?-theory and the niveau filtration, J. Pure Appl. Algebra 212 (2008), no. 7, 1695 -- 1715.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hurwitz number; hypergeometric \(\tau\)-functions; Baker function; Christoffel-Darboux relation; spectral curve Alexandrov, A., Chapuy, G., Eynard, B., Harnad, J.: Weighted Hurwitz numbers and topological recursion: an overview. arXiv:1610.09408
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: quadratic fields; quadratic function fields; hyperelliptic curves; ideal arithmetic; double base number systems IMBERT, L.-JACOBSON, M. J., JR.-SCHMIDT, A.: Fast ideal cubing in imaginary quadratic number and function fields, Adv. Math. Communications 4 (2010), 237-260.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert function; standard determinantal scheme; degree matrix; irreducible arithmetically Gorenstein scheme; divisor; regularity Budur, N.; Casanellas, M.; Gorla, E.: Hilbert functions of irreducible arithmetically Gorenstein schemes. J. algebra 272, No. 1, 292-310 (2004)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: asymptotic grade; essential grade; Noetherian ring; grade function; grade scheme
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert function; dimension of linear system; zero-dimensional scheme; Hilbert's fourteenth problem; generic fat points Evain, L., La fonction de Hilbert de la réunion de \(4^h\) gros points génériques de \(\mathbb P^2\) de même multiplicité, J. Algebraic Geom., 8, 4, 787-796, (1999)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: integration by inverse spectral and scattering methods; algebraic geometry; mechanics of particles and systems Nevins, T., Mirabolic Langlands duality and the quantum Calogero-Moser system, Transform. Groups, 14, 931-983, (2009)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: \(p\)-adic differential equations; Berkovich spaces; radius of convergence; Newton polygon; spectral radius; controlling graph; finiteness Andrea Pulita, The convergence Newton polygon of a \textit{p}-adic differential equation I: Affinoid domains of the Berkovich affine line, preprint, 2012, 44 pp., http://arxiv.org/abs/1208.5850.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: De Rham Witt complex; crystalline cohomology; log scheme; weight spectral sequence; log basic Witt differentials; overconvergent de Rham Witt complex; rigid cohomology
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Riemann surface; vector bundles; moduli spaces; Higgs Gp(2n; C)-bundles; Hilbert scheme; spectral curve; symplectic form
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Poisson surface; Hilbert scheme; Poisson structure; integrable Hamiltonian systems; Hilbert schemes F. BOTTACIN, Poisson structures on Hilbert schemes of points of a surface and integrable systems, Manuscripta Math., 97 (1998), pp. 517-527. Zbl0945.53049 MR1660136
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: complete intersection; isolated singularity; zeta-function; monodromy; Milnor fibration; iterated hyperplane sections M. Oka, ''Principal Zeta-Function of Non-degenerate Complete Intersection Singularity,'' J. Fac. Sci. Univ. Tokyo, Sect. IA 37, 11--32 (1990).
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: graded Betti number; arithmetically Cohen-Macaulay scheme; partial intersection subscheme; Hilbert function; generators of the vanishing ideal; syzygies Ragusa, A.; Zappalà, G.: Partial intersection and graded Betti numbers. Beitr. algebra geom. 44, No. 1, 285-302 (2003)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: sign function; narrow ray class field; Shimura reciprocity law; ordinary \(s\)-distributions; Anderson's resolution; spectral sequences Oukhaba H. (2005). Sign functions of imaginary quadratic fields and applications. Ann. Inst. Fourier 55(3):753--772
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: generic n\(\times n\) matrices; classical division algebra of fractions; center; purely transcendental; Picard scheme; generic plane curve; function field; variety; rationality Van den Bergh M., The center of the generic division algebra, J. Algebra, 1989, 127(1), 106--126
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: systems of multivariate polynomial equations; Bernstein's Theorem; Kushnirenko's Theorem; A-discriminant; resultant; mixed subdivision; mixed volume; toric varieties; amoeba theory; polyhedral homotopy. J.M. Rojas, Why polyhedra matter in non-linear equation solving, in Proceedings of the Conference on Algebraic Geometry and Geometric Modelling, Vilnius, Lithuania, 29 July--2 August 2002. Contemp. Math., vol. 334 (AMS, Providence, 2003), pp. 293--320.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: generic initial ideal; extensor; Hilbert scheme; irreducible component; maximal Hilbert function; rationality
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: subadditive function; endofinite module; stable module category; finite group scheme
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: spectral curves; hyperkähler metrics; integrable systems; magnetic monopoles; spectral curves; hyperkähler metrics; integrable systems; magnetic monopoles
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Jacobi matrices; Titchmarsh-Weyl \(m\)-function; orthogonal polynomials; inverse spectral theory; Green function; probability distributions; factorization of the inverse problem; parametrization of the fibres; singular solutions; explicit formulas DOI: 10.1090/S0002-9947-02-03078-7
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: zero-dimensional scheme; Cayley-Bacharach property; Hilbert function; liaison theory; Dedekind different
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: spectral action; spectral triple; noncommutative torus; zeta function; holomorphic continuation; Diophantine number; noncommutative integration; residue; covariant Dirac operator; noncommutative geometry D. Essouabri, B. Iochum, C. Levy, and A. Sitarz, Spectral action on noncommutative torus. J. Noncommut. Geom. 2 (2008), 53-123.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: zero-dimensional scheme; Hilbert function; postulation
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: moduli space of curves; \(n\)-differentials; cyclic covers; Bergman tau function; integrable systems
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert function; Hilbert scheme Yameogo, J.: Décomposition cellulaire de variétés paramétrant des idéaux homogènes de c\?x,y\?. Incidence des cellules. I. Compositio math. 90, No. 1, 81-98 (1994)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: GKZ-systems; \({\mathcal A}\)-hypergeometric function; \({\mathcal A}\)-hypergeometric system Eduardo Cattani, Carlos D'Andrea, and Alicia Dickenstein, The \?-hypergeometric system associated with a monomial curve, Duke Math. J. 99 (1999), no. 2, 179 -- 207.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: arithmetically Cohen-Macaulay scheme; arithmetic genus; Borel-fixed monomial ideal; degree; generic initial idea; Hilbert function; minimal system of generators; regularity Cho, H.M.; Cho, Y.H.; Park, J.P., Generic initial ideals of arithmetically Cohen-Macaulay projective subschemes, Commun. Algebra, 35, 2281-2297, (2007)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert squares; derived categories; deformations; Hilbert scheme of points; Hilbert square; exceptional coordinate sheaf; Fourier-Mukai functor; Hochschild cohomology; relative local-to-global Ext spectral sequence; faithful; full and faithfull; relative local to global \(\operatorname{Ext}\) spectral sequence; noncommuative deformation theory
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Kac-Moody Lie algebras; Kac-Moody groups; representation theory; flag varieties; semisimple simply-connected algebraic groups; parabolic subgroups; Weyl-Kac character formula; \(\mathfrak n\)-homology; ind-varieties; pro-groups; pro-Lie algebras; Tits systems; Demazure character formula; Schubert varieties; Cohen-Macaulay varieties; Borel-Weil-Bott theorem; Bernstein-Gelfand-Gelfand resolution; Kempf resolution; Cartan subalgebras; generalized Cartan matrix; Plücker relations; nil-Hecke rings; cup products; Leray-Serre spectral sequence; smoothness of Schubert varieties; affine Kac-Moody algebras Kumar, S., Kac-Moody groups, their flag varieties and representation theory, 204, (2002), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc., Boston, MA
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: finite fields; character sums; Weil conjectures; Riemann-Roch theorem; points on curves over finite fields; zeta-functions; \(L\)-functions; idele class characters; modular forms; automorphic representations; Ramanujan graphs; Alon-Boppana theorem; regular graphs; Riemann hypothesis for zeta functions of curves over finite fields; exponential sums; Cayley graphs; finite upper half plane graphs; valuations of function fields; projective curve; Hecke operators; automorphic representations of quaternion groups; expander; simple random walk; spectral theory of graphs Li, W. -C. Winnie: Number theory with applications. Series of university mathematics 7 (1996)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: hyperelliptic curves; real multiplication; local zeta function; multi-homogeneous polynomial systems; Schoof-Pila's algorithm
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert scheme of points; Young walls; generating function
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: graded \(\mathbb{E}_\infty\)-ring; projective scheme; quasi-coherent sheaf; spectral algebraic geometry
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: scheme of finite type; zeta function; local field; Hasse-Weil \(L\)-function; complete discrete valuation field; adeles
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert function; postulation; smooth quadric surface; zero-dimensional scheme
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: HOMFLY-PT polynomials; torus knots; free fermions; Ooguri-Vafa partition function; spectral curve; Chekhov-Eynard-Orantin topological recursion; Hurwitz numbers; Jacobi polynomials
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Bernstein polynomials; algebraic systems; subdivision solver; linear programming; simplex algorithm
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: plane curves; zeta function; Jacobian conjecture; Puiseux expansions; singularities; pencils of conics; universal schemes; Hilbert scheme I. R. Shafarevich, \textit{Basic Algebraic Geometry} (Nauka, Moscow, 1988; Springer, Berlin, 2013), Vol. 1.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: quivers; geometric invariant theory; quot scheme; linear dynamical systems Bader, M.: Quivers, geometric invariant theory, and moduli of linear dynamical systems, Linear algebra appl. 428, 2424-2454 (2008)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: tropical geometry; Riemann's theta function; Toda lattice; general isolevel set; tropical spectral curve Inoue, R., Takenawa, T.: Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic. http://arXiv.org/abs/0902.0448v1[nlin.SI] , 2009
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: multidimensional scattering problem; Bloch function; spectral data; inverse spectral problem
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Baker-Akhiezer function; Jacoby matrix; inverse spectral problem I. Krichever and K. Vaninsky, \textit{The periodic and open Toda lattice} , Mirror symmetry IV (2000), 139---158, AMS/IP Stud. Adv. Math. 33, Amer. Math. Soc., Providence, RI, 2002; arXiv:hep-th/0010184.
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: semialgebraic set; semialgebraic function; Zariski spectrum; spectral map; \texttt{sa}-tuple; suitably arranged \texttt{sa}-tuple; singleton fiber; finite fiber; infinite fiber Fernando, J.F., On the size of the fibers of spectral maps induced by semialgebraic embeddings, Math. nachr., 289, 14-15, 1760-1791, (2016)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Abelian integrals; Poincare-Pontryagin functions; Melnikov functions; polynomial systems; cohomology decompositions; displacement function Uribe, M, Principal Poincaré-Pontryagin function associated to polynomial perturbations of a product of (d+1) straight lines, J Differ Equ, 246, 1313-1341, (2009)
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: quantum statistical mechanical systems; Gibbs states; zeta function; polylogarithms; Tannakian categories; Weil numbers; motives; Weil restriction
0
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: integrable Hamiltonian systems; Hamilton-Jacobi theory; spectral theory; Korteweg-de Vries equation; hyperelliptic curves
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: zero-dimensional scheme; fat point; Hilbert function
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: local systems; \(\ell\)-adic smooth sheaf; Lefschetz fixed point formula; automorphic representations; function fields; \(\mathrm{GL}(n)\); principal unipotent local monodromy; trace formula P. Deligne and Y. Flicker, Counting local systems with principal unipotent local monodromy, Ann. of Math. (2) 178 (2013), 921-982.
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: sinh-Gordon equation; spectral theory; integrable systems; inverse problem; Jacobi variety S. Klein, A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation. Manuscript, submitted as habilitation thesis.
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: six-dimensional quadric; \(GM\) variety; triquadric; spectral curve; spectral bundle; index function; cohomology group; Stiefel-Whitney class
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: field with one element; Deitmar scheme; loose graph; zeta function; Weyl geometry
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: immersions of tori; minimal surfaces; integrable systems; spectral curves Carberry E., Minimal tori in \({\mathbb{S}^{3}}\), Pacific J. Math. 233 (2007), no. 1, 41-69.
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: smoothing of linear systems on curves; nodal curve; line bundle; deformation theory; Hilbert scheme; good families of curves on projective spaces Chang , M.-C. Rav , Z. , '' Deformations of complete linear systems on reducible curves '', Proc. of Symp. in Pure Math. A.M.S. 46 ( 1987 ), 63 - 75 . Zbl 0659.14003
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: linear systems; multiple points; fat poins; Hilbert function Bocci, C.: Special effect varieties in higher dimension. Collect. Math. \textbf{56}(3), 299-326 (2005). ISSN: 0010-0757
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: integrable Hamiltonian systems; Hamilton-Jacobi theory; algebraic- geometric spectral theory; hyperelliptic curves; Korteweg-de Vries equation Современные проблемы математики. Фундаментал\(^{\приме}\)ные направления, Том 4, Акад. Наук СССР, Всесоюз. Инст. Научн. и Техн. Информ., Мосцощ, 1985 [ МР0842907 (87ј:58032)]; Транслатион бы Г. Щассерманн; Транслатион едитед бы В. И. Арнол\(^{\приме}\)д анд С. П. Новиков.
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: infinite product; modular forms; zeta function; Hilbert scheme
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Hilbert scheme; Waring's problem; catalecticant matrices; Hankel matrices; Hilbert function Iarrobino, A. 1996. Gorenstein Artin Algebras, Additive Decompositions of Forms and the Punctual Hilbert scheme. Proceedings of Hanoi conference in Commutative Algebra. 1996. Edited by: Eisenbud, D. and Tuan Hoa, Le. Springer-Verlag. to appear
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: zero-dimensional scheme; plane curve; Hilbert function
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: algebraic \(K\)-theory; Merkurev-Suslin Theorem; Milnor's \(K\)-theory of \(K_ 0\), \(K_ 1\) and \(K_ 2\) of rings; symbols; plus-construction; homotopy group; higher algebraic \(K\)-theory; classifying space of a small category; small exact category; higher algebraic \(K\)-groups; Resolution Theorem; Devissage Theorem; Localization Exact Sequence; Serre subcategory; noetherian scheme; sheaves; Mayer-Vietoris sequence; Homotopy Property; Projective Bundle Theorem; Brown-Gersten-Quillen Spectral Sequence; Gersten's Conjecture; long exact sequence; Chow groups of algebraic varieties; Albanese variety; localization theorem Srinivas, V.: Algebraic K-theory. Progress in Math. vol. 90, Birkhäuser (1991)
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: 0-dimensional scheme; Hilbert function; geometric properties of the point set; Castelnuovo function
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Dixon resultant; parametric polynomial systems; resultant; sparse rational function interpolation; Kronecker substitution
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: integrable systems; Lax pair; Painlevé divisors; spectral curve
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: Robba exponentials; Berkovich points; radius of convergence function [4] G. Christol, `` The radius of convergence function for first order differential equations {'', in \(Advances in non-Archimedean analysis\), Contemp. Math., vol. 551, Amer. Math. Soc., Providence, RI, 2011, p. 71-89. &MR 28 | &Zbl 1238.}
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spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: deformation calculus; Hitchin's spectral covers; moduli spaces; abelian differentials; Riemann surfaces; period matrix; Bergman tau function
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