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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) V. V. Batyrev, ''Non-Archimedean Integrals and Stringy Euler Numbers of Log-Terminal Pairs,'' J. Eur. Math. Soc. 1, 5--33 (1999). Global theory and resolution of singularities (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, Mixed Hodge theory of singular varieties (complex-analytic aspects), Non-Archimedean analysis, Measures (Gaussian, cylindrical, etc.) on manifolds of maps, Toric varieties, Newton polyhedra, Okounkov bodies, Minimal model program (Mori theory, extremal rays)
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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) Schenck, H., Resonance varieties via blowups of \(\mathbb{P}^2\) and scrolls, Int. Math. Res. Not. IMRN, 20, 4756-4778, (2011) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Pencils, nets, webs in algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Determinantal varieties
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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) Scheiderer, C., A positivstellensatz for projective real varieties, \textit{Manuscripta Mathematica},, \textit{138}, 1, 73-88, (2012) Real algebraic sets, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Real algebra, Sums of squares and representations by other particular quadratic forms
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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.: Polynomial Expansion. Proceedings of the American Mathematical Society, vol. 126, pp. 1583--1596 (1998) Global theory and resolution of singularities (algebro-geometric aspects), Polynomials over 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) Fibrations, degenerations in algebraic geometry, Abelian varieties of dimension \(> 1\), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Algebraic moduli of abelian varieties, classification
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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) Yu. G. Prokhorov, ''A remark on the resolution of three-dimensional terminal singularities,'' Uspekhi Mat. Nauk [Russian Math. Surveys], 57 (2002), no. 4, 815--816. Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), 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) Motivic cohomology; motivic homotopy theory, Divisors, linear systems, invertible sheaves, Algebraic 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) Walter Borho and Robert MacPherson, Partial resolutions of nilpotent varieties, Analysis and topology on singular spaces, II, III (Luminy, 1981) Astérisque, vol. 101, Soc. Math. France, Paris, 1983, pp. 23 -- 74. Group actions on varieties or schemes (quotients), Nilpotent and solvable Lie groups, Global theory and resolution of singularities (algebro-geometric aspects), Homogeneous spaces and generalizations, 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) Hong, Kyusik; Park, Jihun, On factorial double solids with simple double points, J. Pure Appl. Algebra, 208, 1, 361-369, (2007) Divisors, linear systems, invertible sheaves, Singularities of surfaces or higher-dimensional varieties, \(3\)-folds
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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) J L Kass, Singular curves and their compactified Jacobians (editors B Hassett, J McKernan, J Starr, R Vakil), Clay Math. Proc. 18, Amer. Math. Soc. (2013) 391 Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Picard schemes, higher Jacobians
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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) Abramovich, D.: Birational geometry for number theorists, Arithmetic geometry. Clay Math. Proc. 8, 335--373, Am. Math. Soc. (2009) Minimal model program (Mori theory, extremal rays), Varieties over global fields, Commutative Noetherian rings and modules, 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) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Plane and space curves, Special surfaces
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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) Andreatta M.: Some remarks on the study of good contractions. Manuscripta Math. 87, 359--367 (1995) Rational and birational maps, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Fano varieties
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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) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Divisors, linear systems, invertible sheaves, Special surfaces, Subvarieties of abelian varieties
| 0
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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) Brauer groups of schemes, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves
| 0
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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, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\))
| 0
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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) C. D. Hacon and C. Xu, Boundedness of log Calabi-Yau pairs of Fano type, \textit{Math. Res. Lett.} (to appear), arXiv:1410.8187. Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, Calabi-Yau manifolds (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) [GM]Gaffney, T. \&Massey, D., Trends in equisingularity theory, inSingularity Theory (Liverpool, 1996), pp. 207--248. London Math. Soc. Lecture Note Ser., 263. Cambridge Univ. Press. Cambridge, 1999. Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), History of algebraic geometry, History of mathematics in the 20th century
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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) Ein, Lawrence; Lazarsfeld, Robert, Seshadri constants on smooth surfaces, Astérisque, 218, 177-186, (1993) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, 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) Da Silva, A. Belotto: Local resolution of singularities in foliated spaces. Rev. R. Acad. cienc. Exactas fís. Nat. ser. A math. RACSAM 110, 841-862 (2016) Modifications; resolution of singularities (complex-analytic aspects), 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) Kunz, Ernst, Kähler differentials, Adv. Lectures Math., (1986), Friedr. Vieweg & Sohn Braunschweig Modules of differentials, Differential algebra, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to commutative algebra, Morphisms of commutative rings, Regular local rings
| 0
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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) Grundman, HG, Explicit resolutions of cubic cusp singularities, Math. Comp., 69, 815-825, (2000) Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Algebraic number theory computations, Global theory and resolution of singularities (algebro-geometric aspects), Modular and Shimura varieties, Cubic and quartic extensions, Zeta functions and \(L\)-functions of number fields
| 0
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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) S. Siksek and M. Stoll, Partial descent on hyperelliptic curves and the generalized Fermat equation \(x\)\^{}\{3\} + \(y\)\^{}\{4\} + \(z\)\^{}\{5\} = 0, Bull. London Math. Soc. \textbf{44} (2012), 151-166. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Varieties over global fields, Analytic theory of abelian varieties; abelian integrals and differentials, 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) Valuations and their generalizations for commutative rings, Valued fields, 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) Green, ML; Lazarsfeld, R, Special divisors on curves on a \(K3\) surface, Invent. Math., 89, 357-370, (1987) \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Curves 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) Cohen-Macaulay modules, Singularities in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Regular local rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Computational aspects and applications of 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) Kani E.: Castelnuovo's equivalence defect. J. Reine Angew. Math. \textbf{352}, 24-70 (1984). Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties, Theta functions and abelian varieties, Projective techniques 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) Nobile, A.: Simultaneous algorithmic resolution of singularities, Geom. dedic. 163, 61-103 (2013) Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Families, fibrations 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) A. Brezuleanu and C. Rotthaus, Completions to ``Local domains with bad sets of formal prime divisors'' , Rev. Roumaine Math. Pures Appl. 30 (1985), 605-612. Regular local rings, Complete rings, completion, Local deformation theory, Artin approximation, etc., Formal power series rings, Dimension theory, depth, related commutative rings (catenary, etc.), Power series 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) \(3\)-folds, Divisors, linear systems, invertible sheaves
| 0
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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) A. Bravo and O. Villamayor, Singularities in positive characteristic, stratification and simplification of the singular locus. Adv. Math. 224 (2010), 1349-1418. 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. Tomari, A \(p_g\)-formula and elliptic singularities, Publ. Res. Inst. Math. Sci. 21 (1985), no. 2, 297--354. Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, 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) Cycles and subschemes, Characteristic classes and numbers in differential topology, Divisors, linear systems, invertible sheaves
| 0
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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, Projective techniques in algebraic geometry, Configurations and arrangements of linear subspaces
| 0
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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) Coverings in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Symplectic and contact topology in high or arbitrary dimension, Singularities of curves, local rings, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
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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) Z. Chen, R. Du, S.-L. Tan and F. Yu, Cubic equations of rational triple points of dimension two , in American Mathematical Society, Providence, RI, 2007, 63-76. Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local complex singularities
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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, Zariskis multiplicity question--a survey, N. Zeal. J. Math., 36, 253-276, (2007) Equisingularity (topological and analytic), Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Singularities in algebraic geometry, Local complex singularities
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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, Rational and ruled surfaces, Configurations and arrangements of linear subspaces, Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials
| 0
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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 curves, local rings, Plane and space curves, Singularities in algebraic geometry, 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) Schröer, S.: Remarks on the existence of cartier divisors. Arch. math. 75, 35-38 (2000) 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) [M]Moh, T. T., Canonical uniformization of hypersurface singularities of characteristic zero.Camm. Algebra 20 (1992), 3207--3251. Global theory and resolution of singularities (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Singularities of surfaces or higher-dimensional varieties, 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) Minimal model program (Mori theory, extremal rays), 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) A. Ishii, Y. Ito and Á. Nolla de Celis, On \(G/N\)-Hilb of \(N\)-Hilb, Kyoto J. Math. 53 (2013), no. 1, 91-130. MR3049308 McKay correspondence, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Global theory and resolution of singularities (algebro-geometric aspects), Representations of quivers and partially ordered sets
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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) J. Spreer, \textit{Blowups, slicings and permutation groups in combinatorial topology}, PhD thesis, University of Stuttgart, 2011. Triangulating manifolds, \(K3\) surfaces and Enriques surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Comparison of PL-structures: classification, Hauptvermutung, Polyhedral manifolds
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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) Auslander, M.: Isolated singularities and existence of almost split sequences. In: Proc. ICRA IV, Lecture Notes in Mathematics, vol. 1178, pp.~194-241, Springer (1986) Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays)
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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) Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Toric varieties, Newton polyhedra, Okounkov bodies, 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) [CRV3] Cavaliere, M.P., Rossi, M.E., Valla, G.: On Green-Lazarsfeld and Minimal resolution conjecture forn+3 points inP n . J. Pure Appl. Algebra85, 105--117 (1993) Global theory and resolution of singularities (algebro-geometric aspects), Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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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, Adjunction problems, \(4\)-folds, Special varieties
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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) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), 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) De Fernex, T.; Lanteri, A.: Bad loci of free linear systems. Adv. geom. 6, 93-107 (2005) Divisors, linear systems, invertible sheaves, Special surfaces
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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) Classical problems, Schubert calculus, 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) Fukuma, Y.: On the second sectional geometric genus of quasi-polarized manifolds. Adv. Geom. 4, 215--239 (2004) Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Adjunction problems
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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) van Hoeij, M., Rational parametrizations of algebraic curves using a canonical divisor, \textit{Journal of Symbolic Computation}, 23, 2-3, 209-227, (1997) Symbolic computation and algebraic computation, Divisors, linear systems, invertible sheaves, Computational aspects of algebraic curves
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Jordan, D.; Orem, H., An algebro-geometric construction of lower central series of associative algebras, \textit{Int. Math. Res. Not. IMRN}, 15, 6330-6352, (2015) Rings arising from noncommutative algebraic geometry, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Katsov, Y.; Lipyanski, R.; Plotkin, B., Automorphisms of categories of free modules, free semimodules, and free Lie modules, Comm. Algebra, 35, 931-952, (2007) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Rings arising from noncommutative algebraic geometry, Semirings, Module categories in associative algebras, Identities, free Lie (super)algebras, Automorphisms and endomorphisms of algebraic structures, Categories of algebras, Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Chan, Daniel; Kulkarni, Rajesh S.: Moduli of bundles on exotic del Pezzo orders, Amer. J. Math. 133, No. 1, 273-293 (2011) Rings arising from noncommutative algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Noncommutative algebraic geometry, Rational and ruled surfaces
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Sheaves in algebraic geometry, Curves in algebraic geometry, Module categories in associative algebras, Representation theory of associative rings and algebras, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Rings arising from noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Homological algebra in category theory, derived categories and functors
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Bimodules in associative algebras, Module categories in associative algebras, Associative rings of functions, subdirect products, sheaves of rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Serre, J.-P.: Galois Cohomology, Springer Monographs in Mathematics, Translated from the French by Patrick Ion, Berlin, New York Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Associative rings of functions, subdirect products, sheaves of rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Tacchella, A.: An introduction to associative geometry with applications to integrable systems. J. Geom. Phys. (to appear). arXiv:1611.00644 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Differential graded algebras and applications (associative algebraic aspects), Noncommutative algebraic geometry, Relationships between algebraic curves and integrable systems, Rings arising from noncommutative algebraic geometry, Noncommutative differential geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Izuru Mori, Intersection theory over quantum ruled surfaces, J. Pure Appl. Algebra 211 (2007), no. 1, 25 -- 41. Noncommutative algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational and ruled surfaces, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Pirkovskii, A.Y., Holomorphically finitely generated algebras, J. noncommut. geom., 9, 215-264, (2015) Algebras of holomorphic functions of several complex variables, Noncommutative geometry (à la Connes), Functional calculus in topological algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Smash products of general Hopf actions
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces P. Etingof and V. Ginzburg, Symplectic reflection algebras, Calogero--Moser space, and deformed Harish-Chandra homomorphism, \textit{Invent. Math.}, 147 (2002), no. 2, 243--348. Zbl 1061.16032 MR 1881922 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Group actions on varieties or schemes (quotients), Lie algebras of vector fields and related (super) algebras, Applications of Lie algebras and superalgebras to integrable systems, Hecke algebras and their representations, Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces M. van den Bergh, \textit{Non-commutative crepant resolutions}, in \textit{The legacy of Niels Henrik Abel}, R. Piene and A. Laudal eds., Springer, Germany (2004). Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces F. van Oystaeyen. \textit{Algebraic geometry for associative algebras}. Series ''Lect. Notes in Pure and Appl. Mathem.'' \textbf{232} (Marcel Dekker: New York, 2000). Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Associative rings of functions, subdirect products, sheaves of rings, Graded rings and modules (associative rings and algebras), Ore rings, multiplicative sets, Ore localization
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Shelton, Brad; Vancliff, Michaela, Some quantum \(\mathbf{P}^3\)s with one point, Comm. Algebra, 27, 3, 1429-1443, (1999) Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras, Associative rings of functions, subdirect products, sheaves of rings, Quantum groups (quantized enveloping algebras) and related deformations, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Homological dimension in associative algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Ingalls, C.; Patrick, D.: Blowing up quantum weighted projective planes. J. algebra 254, 92-114 (2002) Rational and ruled surfaces, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Bell, J., Rogalski, D., Sierra, S.: The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. Israel J. Math. 180, 461--507 (2010) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Twisted and skew group rings, crossed products, Associative rings of functions, subdirect products, sheaves of rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Marti\´, R.; Villa, Nez: Serre duality for generalized Auslander regular algebras. Contemp. math. 229, 237-263 (1998) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Quadratic and Koszul algebras, Graded rings and modules (associative rings and algebras), Module categories in associative algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Deformations of associative rings, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces D. Rogalski and J. J. Zhang, Canonical maps to twisted rings, Mathematische Zeitschrift 259 (2008), 433--455. Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces M. Van~den Bergh, \emph{Blowing up of non-commutative smooth surfaces}, Mem. Amer. Math. Soc. \textbf{154} (2001), no.~734, x+140. \MR{1846352 (2002k:16057)} Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Chan, D.: Noncommutative rational double points. J. algebra 232, 725-766 (2000) Rings arising from noncommutative algebraic geometry, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Rational and ruled surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Actions of groups and semigroups; invariant theory (associative rings and algebras), Valuations, completions, formal power series and related constructions (associative rings and algebras), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Representation type (finite, tame, wild, etc.) of associative algebras, Cohen-Macaulay modules in associative algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Vancliff, M.: The interplay of algebra and geometry in the setting of regular algebras. In: Commutative Algebra and Noncommutative Algebraic Geometry, vol 6, pp. 371-390. MSRI Publications (2015) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Quadratic and Koszul algebras, Complete intersections
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rosenberg, A.L.: Algebraic Geometry Representations of Quantized Algebras. Kluwer Academic Publishers, Dordrecht, Boston London (1995) Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Torsion theories; radicals on module categories (associative algebraic aspects), Rings of differential operators (associative algebraic aspects), Local categories and functors, Abelian categories, Grothendieck categories, Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, ``Super'' (or ``skew'') structure, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Abstract manifolds and fiber bundles (category-theoretic aspects)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Mori, I, The center of some quantum projective planes, J. Algebra, 204, 15-31, (1998) Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Center, normalizer (invariant elements) (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Poisson manifolds; Poisson groupoids and algebroids
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Davies, Andrew, Cocycle twists of 4-dimensional Sklyanin algebras, J. Algebra, 457, 323-360, (2016) Twisted and skew group rings, crossed products, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Actions of groups and semigroups; invariant theory (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Rings arising from noncommutative algebraic geometry, Dimension theory, depth, related commutative rings (catenary, etc.)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Dennis S. Keeler, Criteria for \?-ampleness, J. Amer. Math. Soc. 13 (2000), no. 3, 517 -- 532. Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Automorphisms of surfaces and higher-dimensional varieties, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Nyman, A, Noncommutative tsen's theorem in dimension one, J. Algebra, 434, 90-114, (2015) Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Categories in geometry and topology
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces J. T. Stafford and M. Van den Bergh, Noncommutative resolutions and rational singularities, Michigan Math. J. 57 (2008), 659-674. Special volume in honor of Melvin Hochster. Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Homological dimension (category-theoretic aspects)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Singularities in algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Real algebra
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, de Rham cohomology and algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces D. Chan, R. Kulkarni, Numerically Calabi-Yau orders on surfaces, J. London Math. Soc., to appear. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Fibrations, degenerations in algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Fløystad, G.; Vatne, J. E., Artin-Schelter regular algebras of dimension five, (Algebras, Geometry and Mathematical Physics, Banach Center Publ., vol. 93, (2011)), 19-39 Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes in associative algebras, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Cortiñas, G, The structure of smooth algebras in kapranov's framework for noncommutative geometry, J. Algebra, 281, 679-694, (2004) Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Smith, S. Paul, Maps between non-commutative spaces, Trans. Amer. Math. Soc., 356, 7, 2927-2944, (2004) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Sierra, S.S., Walton, Ch.: The universal enveloping algebra of Witt algebra is not noetherian. ArXiv:1304.0114 [math.RA] Noncommutative algebraic geometry, Universal enveloping algebras of Lie algebras, Rings arising from noncommutative algebraic geometry, Virasoro and related algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces De Völcsey, L. De Thanhoffer; Den Bergh, M. Van: Explicit models for some stable categories of maximal Cohen-Macaulay modules Representations of quivers and partially ordered sets, Rings arising from noncommutative algebraic geometry, Rational and ruled surfaces
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