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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) families of rational surfaces; birational maps; automorphisms; positive entropy Déserti, J; Grivaux, J, Automorphisms of rational surfaces with positive entropy, Indiana Univ. Math. J., 60, 1589-1622, (2011) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) cocycle twists; noncommutative geometry; Sklyanin algebras Davies, Andrew, Cocycle twists of 4-dimensional Sklyanin algebras, J. Algebra, 457, 323-360, (2016) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Jacobians of genus 2 curves; finite fields; cardinality; 2-adic valuation | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) arithmetic differential operators; \(p\)-adic cohomology; crystalline cohomology; rigid cohomology; formal schemes; rigid analytic geometry; arithmetic of local fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) complex function fields; minimal surface; minimal models | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) discriminant variety; versal unfolding; analytic function germ; stable germs; Saito's vector fields DOI: 10.1112/jlms/s2-30.3.551 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) curves on surfaces; minimal analytic surface; number of algebraic families of curves with fixed arithmetic genus | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) diffeomorphy of rational surface; minimal complex surfaces of general type; numerical Godeaux surface D. Kotschick, On irreducible four-manifolds, Preprint (1995). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) \(z\)-divisible local Anderson modules; Drinfeld modules; \(A\)-motives; Drinfeld modular varieties; tensor constructions; multilinear theory of Drinfeld displays | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Springer correspondence; nearby cycle sheaves; symmetric pairs; Hecke algebras; Hessenberg varieties; Fourier transform | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) harmonic analysis; spectral theory; Lax-Phillips scattering theory; periodic operators; Riemann surfaces; doubly connected domain; Schottky doubles of planar domains; character-automorphic Hardy spaces; torus of spaces; multiplicative multivalued functions S. I. Fedorov, On harmonic analysis in a multiply connected domain and character-automorphic Hardy spaces, Algebra i Analiz 9 (1997), no. 2, 192 -- 240 (Russian); English transl., St. Petersburg Math. J. 9 (1998), no. 2, 339 -- 378. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) semisimple symmetric spaces of Chevalley groups; semisimple algebraic group; non-Riemannian symmetric space; Eisenstein series; functional equations; zeta functions for prehomogeneous vector spaces F. SATO, Eisenstein series on semisimple symmetric spaces of Chevalley groups, Advanced Studie in Pure Math. 7, Automorphic Forms and Number Theory, (I. Satake, ed.), Kinokuniya, Tokyo, 1985, 295-332. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) surfaces of third order | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite ground field; exponential sums; Newton polygon of the L-function Sperber, S., On the \textit{p}-adic theory of exponential sums, Am. J. math., 108, 2, 255-296, (1986) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) genera of functions fields; rigid geometry Matignon, M.; Youssefi, T.: Appendix to inégalité relative des genres by T. Youssefi. Manuscripta math. 78, No. 2, 111-128 (1993) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli spaces of complex abelian surfaces; quartic surfaces; configuration of lines; Calabi-Yau threefold Barth, W.; Nieto, I., Abelian surfaces of type \((1,3)\) and quartic surfaces with \(16\) skew lines, J. Algebraic Geom., 3, 173-222, (1994) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite ground fields; Tate conjecture on algebraic cycles; powers of an ordinary K3 surface; Galois action; Tate classes Yu. G. Zarhin, The Tate conjecture for powers of ordinary \(K3\) surfaces over finite fields , in preparation. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Catalan number; flagged Schur function; Demazure character; key polynomial; pattern avoiding permutation; symmetric group parabolic quotient | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) quantum cluster algebras; quantum nilpotent algebras; iterated Ore extensions; noncommutative unique factorization domain K. R. Goodearl and M. T. Yakimov, \textit{Quantum cluster algebra structures on quantum nilpotent algebras}, Memoirs of the American Mathematical Society \textbf{247} (2017). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Picard group; adjunction process; surfaces of small sectional genus; Castelnuovo's bound for the genus of a curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Tate conjecture; compactification of Hilbert-Blumenthal surface; L- function; algebraic cycles; Hirzebruch-Zagier cycles Harder, G.; Langlands, R. P.; Rapoport, M., Algebraische Zyklen auf Hilbert-Blumenthal-Flächen, J. Reine Angew. Math., 0075-4102, 366, 53-120, (1986) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) holomorphic family; function field; Kodaira surface; Teichmüller space; Diophantine equation; Riemann surfaces; holomorphic section | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli of vector bundles on surfaces; Segre invariant; stratification of moduli space | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hodge theory; Albanese variety; Kähler manifold; moduli of algebraic surfaces; deformations; irrational pencils Catanese, F, Moduli and classification of irregular Kähler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math., 104, 263-289, (1991) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic fundamental group; surfaces of general type; Campedelli surfaces Ciliberto, C., Mendes Lopes, M., Pardini, R.: Surfaces with \(K^2<3\chi \) and finite fundamental group. Math. Res. Lett. \textbf{14}(6), 1069-1086 (2007) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) differential function fields; differential field; movable singularity; abelian function; differential Galois extension; ADE; algebraic differential equations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Witt ring; dimension index; skew symmetric; bilinear space; vector bundle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) deformations of curve; cyclic cover of projective line; period space for Riemann surfaces; holomorphic differentials; group of automorphisms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Ulrich bundles; Frobenius split varieties; abelian varieties; \(K3\) surfaces; surfaces of general type; threefolds; Fano varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) real algebraic set; semialgebraic set; regular function; rational function; regulous function; arc-symmetric set; arc-analytic function; approximation; vector bundle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) invariants of finite group; inverse problem of Galois theory; Noether's problem; function field of a torus; Algebraic Tori; rational points of tori Swan, R. G.: Noether's problems in Galois theory. Symposium ''emmy Noether in bryn mawr'' (1983) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) decomposition of birational morphism; smooth curves on surfaces; with rational double points; blow-up of a smooth point; Gorenstein; threefold singularities D. Morrison, ''The biratioanl geometry of surfaces with ratiional double points,''Math. Ann.,271, 415--438 (1985). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) degeneracy locus of symmetric bundle maps; determinantal variety; variation of weight one Hodge structure; families of genus g curves Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) derived categories; tubular algebras; automorphism groups; numbers of orbits; weighted projective lines | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) generalized algebraic geometry codes; n-automorphisms; admissible function fields; Hermitian function fields A. Picone, Automorphisms of generalized algebraic geometry codes, Ph.D. Thesis, Università degli Studi di Palermo, 2007 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) group actions on varieties and schemes; actions of groups on commutative rings; invariant theory; automorphisms of surfaces and higher-dimensional varieties 10.1090/mcom/3185 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli spaces of Enriques surfaces Gritsenko, V.; Hulek, K., Moduli of polarized Enriques surfaces.K3 surfaces and their moduli, Progr. Math. 315, 55-72, (2016), Birkhäuser/Springer, [Cham] | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Riemann-Roch theorem; algebraic function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) matrices; determinant; diagonalization; eigenvector; eigenvalue; symmetric function; splitting algebra; universal root; regularity; spectral mapping | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) K3 surface; degenerations of Kunev surfaces; type I degenerations; period map; stratification of coarse moduli space of Kunev surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Dynkin graphs; minimal resolution of a normal quartic surface; classification of singularities of plane sextics; classification of singular quartic surfaces Urabe, T.: Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs. Proc. 1984 Vancouver Conf. Alg. Geom., CMS Conf. Proc.6, 477-497 (1986) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Lang's conjecture; function fields; hypersurfaces; algebraic Morse inequalities; jet spaces Christophe Mourougane, ''Families of hypersurfaces of large degree'', J. Eur. Math. Soc. (JEMS)14 (2012) no. 3, p. 911-936 | | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) generalized Riemann hypothesis for imaginary quadratic fields; point of complex multiplication B. Edixhoven, Special points on the product of two modular curves, Compos. Math. 114 (1998), no. 3, 315-328. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic curves; Riemann surfaces; field of moduli; field of definition Hidalgo, R. A.; Reyes-Carocca, S.; Valdés, M. E.: Field of moduli and generalized Fermat curves, Rev. colomb. Mat. 47, No. 2, 205-221 (2013) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hilbert schemes of points; quiver varieties; HIrzebruch surfaces; ADHM data; monads; Nakajima quivers; McKay quivers; quiver varieties, moduli spaces of quiver representations Bartocci, C.; Bruzzo, U.; Lanza, V.; Rava, C.L.S., Hilbert schemes of points of \(\mathcal{O}_{\mathbb{P}^1}(- n)\) as quiver varieties, J. pure appl. algebra, 221, 2132-2155, (2017) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Weyl groups; Coxeter groups; representations of Hecke algebras; Jordan-Hölder series of Verma modules; irreducible highest weight modules; Weyl character formula; primitive ideals in enveloping algebras; complex semisimple Lie algebras; local Poincaré duality; geometry of Schubert cells; flag varieties; intersection cohomology; Laurent polynomials; intertwining operators; finite Chevalley groups; affine Weyl groups; cohomology groups; simple reflections; highest weight representations; Cartan subalgebras D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, \textit{Invent.} \textit{Math.}, 53 (1979), no. 2, 165--184.Zbl 0499.20035 MR 560412 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) families of open curves; function-field analog of the Mordell conjecture | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Gromov invariants; scheme of morphisms; special Schubert cycles; Chern classes; trivial bundles on Riemann surfaces; Quot schemes Bertram A.: Towards a Schubert calculus for maps from a Riemann surface to a Grassmannian. Internat. J. Math. 5, 811--825 (1994) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Abelian algebraic groups; representations of algebraic groups; Cartier duality; profinite algebras; affine schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) holomorphic sectional curvatures; maximal rationally connected fibrations; abelian varieties; ruled surfaces; RC positivity; minimal models | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) entire transcendental function; measure of linear independence over imaginary quadratic field; Jacobi theta function P. Bundschuh and I. Shiokawa, ''A measure for the linear independence of certain numbers,'' Results Math. 7 (1984), 130--144. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) symmetric space; equivariant compactification; symmetric space of quadrics Abeasis, S.: On a remarkable class of subvarieties of a symmetric variety. Adv. math. 71, 113-129 (1988) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) torsors; Galois extensions; representations of restricted Lie algebras; quantum groups; finite-dimensional Hopf algebras; affine schemes; cocommutative Hopf algebras; Miyashita-Ulbrich actions; equivariant splittings; sheaves; faithfully flat descent [Ru1] D. Rumynin,Hopf-Galois extensions with central invariants and their geometric properties, Alg. Rep. Th.,1 (1998), 353--381. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Brauer groups of fields; Galois cohomology; norm-residue map; Azumaya algebra Ina Kersten, Brauergruppen von Körpern, Aspects of Mathematics, D6, Friedr. Vieweg & Sohn, Braunschweig, 1990 (German). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Poisson structures; integrable systems; ruled surfaces Bartocci, C; Macrí, E, Classification of Poisson surfaces, Commun. Contemp. Math., 7, 89-95, (2005) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) cohomology of \(p\)-adic symmetric spaces; \(p\)-adic cohomology; Steinberg representation; de Rham cohomology; étale cohomology; Bruhat-Tits building; \(p\)-adic Shimura isomorphisms Schneider, P.; Stuhler, U., The cohomology of \(p\)-adic symmetric spaces, Invent. Math., 105, 1, 47-122, (1991) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hilbert function; projective varieties of low degree Park, Euisung: On hypersurfaces containing projective varieties, Forum math. (2013) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) reductive groups; irreducible representations; semi-invariants of quivers; tensor product multiplicities; classical groups; invariant theory Sam, S, Symmetric quivers, invariant theory, and saturation theorems for the classical groups, Adv. Math., 229, 1104-1135, (2012) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Kodaira fibrations; fields of definition; compact complex spaces; universal covers González-Diez, G.; Reyes-Carocca, S., The arithmeticity of a Kodaira fibration is determined by its universal cover, Comment. Math. Helv., 90, 2, 429-434, (2015) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) noncommutative tori; Anasov automorphisms; C*-algebras; K-theory; cluster C*-algebras; Sklyanin algebras; AF-algebras; UHF-algebras; Hecke eigenform; continuous geometries; Connes geometries; index theory; Kasparov KK-theory; Jones polynomials; quantum groups; Hopf algebra; noncommutative algebraic geometry; deformation quantization | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) dimension; conjugacy class of a matrix; rank variety; rank function; partition of a non-negative integer | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic Fermi curves; Bloch variety; density of states function | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Riemann surfaces; orbifolds; coarse moduli spaces; tautological classes; enumerative geometry; moduli spaces of curves; geometric invariant theory; pointed stable curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) hyperelliptic locus of line bundle; double cover; polarized surfaces of \(\Delta\)-genus Aldo Biancofiore, Maria Lucia Fania, and Antonio Lanteri, Polarized surfaces with hyperelliptic sections, Pacific J. Math. 143 (1990), no. 1, 9 -- 24. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) real fields; sums of squares; topology of real algebraic varieties; Tarski-Seidenberg algorithm | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) varieties; finite fields; small solutions of congruences; systems of forms; points in boxes M. Fujiwara,Distribution of rational points on varieties over finite fields, Mathematika35 (1988), 155--171. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic curves; algebraic surfaces; forms; automorphisms; fibrations; coverings; vector fields; singularities; rational double points | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) regular differentials; analytic algebras; rings of quotients; trace map; extendable differential forms; smoothness; Zariski-Lipman problem; Kähler differentials M. Kersken andU. Storch, Some applications of the trace mapping for differentials. Banach Center Publ.26, 141-148 (1990). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) canonical surfaces; contact of surfaces; self-linked curve Canonero, G., Gallarati, D., Serpico, M.E.: On regular canonical surfaces of genus four, Mathematical Reports, Romanian Academy, V. \textbf{8}(58) - No. 1, 25-36 (2006) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Riemann surface; automorphisms of Riemann surfaces; p-gonal curve; super-elliptic curve Broughton, S. A.; Wootton, A.: Exceptional automorphisms of (generalized) super elliptic surfaces. Contemp. math. 629, 29-42 (2014) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite quotients of braid groups; symplectic groups; fundamental groups; complements of branch curves; algebraic surfaces B. Moishezon,Finite quotients of braid groups related to symplectic groups over \(\mathbb{Z}\)/3, preprint. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hilbert function of a generic plane section of a reduced irreducible curve; uniform position; arithmetically Cohen-Macaulay curve; space curve Maggioni, R.; Ragusa, A., The Hilbert function of generic plane sections of curves of \(\mathbf{P}^3\), Invent. Math., 91, 2, 253-258, (1988) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) quantum ruled surfaces; Ore extensions Ingalls, C.; Patrick, D.: Blowing up quantum weighted projective planes. J. algebra 254, 92-114 (2002) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) noncommutative algebraic geometry; noncommutative projective line; noncommutative curve; two-sided vector space; noncommutative symmetric algebras; arithmetic noncommutative projective line Nyman, A, The geometry of arithmetic noncommutative projective lines, J. Algebra, 414, 190-240, (2014) | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) perfect fields; simple two-sided central vector spaces; non-commutative symmetric algebras; division rings of fractions; non-commutative surfaces Hart, J.; Nyman, A.: Duals of simple two-sided vector spaces, Comm. algebra 40, 2405-2419 (2012) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Noetherian graded rings; noncommutative projective geometry; deformations; twisted homogeneous coordinate rings J.~T. Stafford and M. van~den Bergh, \emph{Noncommutative curves and noncommutative surfaces}, Bull. Amer. Math. Soc. (N.S.) \textbf{38} (2001), no.~2, 171--216. \MR{1816070} | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) two-sided vector spaces; matrix homomorphisms; noncommutative vector bundle Nyman, A; Pappacena, CJ, Two-sided vector spaces, Linear Algebra Appl., 420, 339-360, (2007) | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) non-commutative geometry; Hirzebruch surfaces; deformations Bergh, M, Non-commutative \(\mathbb{P}^1\)-bundles over commutative schemes, Trans. Am. Math. Soc., 364, 6279-6313, (2012) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) representations of quivers; non-commutative algebraic geometry; non-commutative curves Chan, D., Nyman, A.: Species and noncommutative \(\mathbb {P}^{1}\)'s over non-algebraic bimodules, in progress | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: fractals; iterated function systems; fractal interpolation functions; blending functions; fractal interpolation surfaces; positivity Chand, AKB; Vijender, N., Positive blending Hermite rational cubic spline fractal interpolation surfaces, Calcolo, 52, 1-24, (2015) | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: fractals; iterated function systems; fractal interpolation functions; fractal interpolation surfaces; blending function; numerical examples; fitting; Read-Bajraktarević operator | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: finite subgroups of rotation group; groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Artin, M.: Algebra. Prentice-Hall, Englewood Cliffs (1991) | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: fractals; iterated function systems; fractal interpolation functions; self-referential; fractal interpolation surfaces; blending function; convergence; computer-aided geometric design Chand, AKB; Vijender, N, A new class of fractal interpolation surfaces based on functional values, Fractals, 24, 1-17, (2016) | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: topological recursion; partition function; spectral curve; matrix models; 1/N expansion; Schwinger-Dyson equation; repulsive particle systems; AGT conjecture; BKMP conjecture; Chern-Simons theory Borot, G., Eynard, B., Orantin, N.: Abstract loop equations, topological recursion and applications. Commun. Numbers Theory Phys. \textbf{9}(1) (2015). arXiv:1303.5808 [math-ph] | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: fractals; iterated function systems; fractal interpolation functions; fractal interpolation surfaces; blending function; monotonicity; positivity; convexity Vijender, N.; Chand, AKB, Shape preserving affine fractal interpolation surfaces, Nonlinear Stud, 21, 179-194, (2014) | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: double affine Hecke algebras; Jones polynomials; HOMFLY-PT polynomials; plane curve singularities; compactified Jacobians; Hilbert scheme; Khovanov-Rozansky homology; iterated torus links; Macdonald polynomial; Hasse-Weil zeta-function; Riemann hypothesis | 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; upper bound; Steiner systems; covering radius; codes; function field extension; genus; rational places; packing radius Cohen, S. D., Some function field estimates with applications, (Number Theory and Its Applications, Ankara, 1996, Lect. Notes Pure Appl. Math., vol. 204, (1999), Dekker New York), 23-45 | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: algebraic cycle; iterated integral; hypergeometric 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-Kunz function; Hilbert-Kunz multiplicity; plane quartic; dynamical systems Monsky, P.: Hilbert--kunz functions in a family: line-S4 quartics. J. algebra 208, 359-371 (1998) | 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; Picard group; Riemann surfaces of infinite genus; complete integrability; eigenbundles; holomorphic line bundles; spectral curve; divisors; Darboux coordinates; Serre duality Schmidt M U 1996 \textit{Integrable Systems and Riemann Surfaces of Infinite Genus}\textit{(Memoirs of the American Mathematical Society vol 122)} (Providence, RI: American Mathematical Society) pp 1--111 | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: bigraded rings; bigraded modules; complete intersection; Hilbert function; minimal free resolution; scheme-theoretic complete intersection | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: right half-plane spectral sequence; quasiprojective scheme; coherent vector bundles; infinite loop space; fibrant spectrum; non-connective spectrum; isolated singularities Charles A. Weibel, A Brown-Gersten spectral sequence for the \?-theory of varieties with isolated singularities, Adv. in Math. 73 (1989), no. 2, 192 -- 203. | 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; ramified covering; dessins d'enfants; Belyi function; braid group; Hurwitz scheme; hypermaps; bipartite maps A. Zvonkin, ''Megamaps: Construction and Examples,'' in: \textit{Discr. Math. Theor. Comput. Sci. Proc., AA} (2001), pp. 329-339. | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: matrices; determinant; diagonalization; eigenvector; eigenvalue; symmetric function; splitting algebra; universal root; regularity; spectral mapping | 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; Hilbert function Gotzmann, G.: Durch Hilbertfunktionen definierte Unterschemata des Hilbertschemas. Comment. Math. Helv.63, 114--149 (1988) | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: classifying point systems; superabundant subschemes; Hilbert scheme Coppo, M. -A.: Familles maximales de systèmes de points surabondants dans P2. Math. ann. 291, 725-735 (1991) | 0 |
spectral radius; iterated function systems; subdivision scheme --------, Subdivision schemes for iterated function systems , Proc. Amer. Math. Soc. 129 (2001), 1861-1872. JSTOR: generalized spectral radius theorem; generalized analytic spaces | 0 |
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