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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Newton polyhedra; isolated complete intersection singularity; resolution of singularities; toroidal embeddings Morales, M., Polyèdre de Newton et genre géométrique d'une singularité intersection complète, Bull. Soc. Math. France, 112, 325-341, (1984)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) pseudo-convex varieties; mixed Hodge structures; purity theorems; perverse sheaves; vanishing theorem of Kodaira; theorem of Lefschetz; filtered de Rham complex of a rational singularity Navarro-Aznar V., Sur la théorie de Hodge des variétés algébriques à singularités isolées, Systèmes Différentiels et Singularités (Luminy 1983), Astérisque 130, Société Mathématique de France, Paris (1985), 272-307.
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) surface singularities; rational surfaces; exceptional divisors; resolution; vanishing theorem; Du Bois singularity; differential 1-forms Hara, N.: A characteristic p proof of wahl's vanishing theorem for rational surface singularities. Arch. math. (Basel) 73, 256-261 (1999)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) complements of arrangements; vanishing cycles; second Lefschetz theorem; isolated singularities of functions on stratified spaces; monodromy
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; hyperbolic singularity; modality; Dynkin diagram; morsification
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) non-isolated singularity; Milnor number; codimension of the Jacobian ideal; de Rham complex; constructible sheaves of vanishing cycles; Hodge filtration M. Kapranov, On DG-modules over the de Rham complex and the vanishing cycles functor, Algebraic geometry (Chicago, 1989), Lect. Notes in Math. 1479, Springer, 1991, p. 57-86
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) derivation; Lie algebra; isolated singularity; Yau algebra
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Jordan form; complex monodromy; super-isolated hypersurface singularity Artal Bartolo, E., Forme de Jordan de la monodromie des singularités superisolées de surfaces, Mem. Amer. Math. Soc., 109, 525, (1994), x+84
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Milnor fibre; isotopic knots; algebraic \((2n-1)\)-knot; link of an isolated singularity of a complex hypersurface; cobordant algebraic knots; Seifert forms Du Bois, Ph.; Michel, F.: Cobordism of algebraic knots via Seifert forms. Invent. math. 111, 151-169 (1993)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) projective submanifold; reducible hyperplane section
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated complete intersection singularity; quadratic form; 1-form W. Ebeling and S. M. Gusein-Zade, ''Quadratic Forms for a 1-Form on an Isolated Complete Intersection Singularity,'' Math. Z. 252, 755--766 (2006).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Castelnuovo curve; uniform position lemma; arithmetically Gorenstein curve; hyperplane section; surface scroll Yanagawa, K.: A characterization of integral curves with Gorenstein hyperplane sections. Proc. amer. Math. soc. 124, No. 5, 1379-1384 (1996)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Cohen-Macaulay order; exact category; \(L\)-functor; triadic category; almost split sequence; isolated singularity; representation-finite; non-commutative resolution; Gorenstein ring; Gorenstein projective
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; Lie algebra; generalized Cartan matrix
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) derivations; Hessian algebra; weighted homogeneous isolated hypersurface singularity
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) plane curve singularities; non-isolated singularity; topological series; topological types of isolated singularities; links; Milnor fibration Schrauwen ( R. ). - Topological series of isolated plane curves singularities , l'Enseignement Mathématique ( 36 ) ( 1990 ), 115 - 141 . MR 1071417 | Zbl 0708.57011
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Riemann singularity theorem; stable vector bundle; generalized theta divisor Laszlo, Un théorème de Riemann pour les diviseurs thêta sur les espaces de modules de fibrés stables sur une courbe, Duke Math. J. 64 (2) pp 333-- (1991)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Hilbert function; generic hyperplane section Strano, R.: Curves and their hyperplane sections. J. Pure Appl. Algebra \textbf{152}(1-3), 337-341 (2000). Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) free abelian cover; hypersurface complement; hyperplane arrangements; non-isolated singularities; Alexander varieties; characteristic varieties; Dwyer-Fried sets; resonance varieties
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) deformation; isolated singularity; Hodge structure; regular part; Stein space DOI: 10.1090/S0002-9939-97-03712-X
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) topological invariants of algebraic varieties; homology groups; fundamental groups; Alexander polynomials; Hodge structures; Whitney stratifications; plane curve and normal surface singularities; Milnor fibration; lattice for an isolated hypersurface singularity; integral bilinear forms; weighted projective varieties; mixed Hodge structures; hypersurface complements; cohomology of complete intersections A. Dimca, ''Singularities and Topology of Hypersurfaces'', Universitext, Springer-Verlag, New York, 1992. DOI: 10.1007/978-1-4612-4404-2
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) second Lefschetz theorem; vanishing cycles; pencils of hyperplane sections; fundamental group of the complement of a plane projective curve D. Chéniot, Vanishing cycles in a pencil of hyperplane sections of a non-singular quasi-projective variety, Proc. London Math. Soc. (3) 72 (1996), no. 3, 515 -- 544.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) de Rham cohomology; Milnor number; Poincaré number; isolated hypersurface singularity; Tjurina number C. Shonkwiler, \textit{Poincaré duality angles for Riemannian manifolds with boundary}, arXiv:0909.1967.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) projective curve; postulation; hyperplane section
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane section of curve; curves on hyperplanes; Galois group of function field; incidence; trisecant lemma E. Ballico, On the general hyperplane section of a curve in char. p, Rendiconti Istit. Mat. Univ. Trieste 22 (1990), 117--125.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) singularities; Riemann-Kempf singularity theorem; non-hyperelliptic curve; linear equivalence classes of positive divisors; index of speciality
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hard Lefschetz; vector bundle; hyperplane section; algebraic cycles; Hodge conjecture; mixed Hodge theory
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperbolic curve; algebraic fundamental groups; weak anabelian theorem; section conjecture Jakob Stix, On cuspidal sections of algebraic fundamental groups, arXiv:0809.0017 (2008).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) classification of smooth surface in projective 5-space; embedding in Grassmann variety; Chern class; canonical divisor; hyperplane section [P] Papantonopoulou, A.: Embeddings in G(1,3). Proc. Am. Math. Soc.89, 583-586 (1983); Corrigendum, Ibidem, Proc. Am. Math. Soc.95 (1985)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) contact structure; isolated hypersurface singularity; topologically trivial deformation
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) symbolic-numeric methods; isolated singularity; multiplicity; quadratic convergence Wu, X.; Zhi, L., Determining singular solutions of polynomial systems via symbolic--numeric reduction to geometric involutive forms, Journal of Symbolic Computation, 47, 3, 227-238, (2012)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) classification of non-Gorenstein Fano 3-folds; singularity index; Enriques surfaces as hyperplane sections; cyclic quotient singularities Sano, T.: On classification of non-Gorenstein \({\mathbb Q}\)-Fano \(3\)-folds of Fano index \(1\). J. Math. Soc. Japan 47, (1995) 369-380.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) plane projection; quadruple point; vanishing homology; stable perturbations; unstable singularity; radial projection; node; embedded curve; ramphoidal cusp; tacnode; conductor ideal; isolated quasi-homogeneous singularities David Mond, Looking at bent wires --- \?\?-codimension and the vanishing topology of parametrized curve singularities, Math. Proc. Cambridge Philos. Soc. 117 (1995), no. 2, 213 -- 222.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated hypersurface singularity; simple elliptic singularities; isolated complete intersection singularities; fewnomial singularities; Lie algebra of derivations; solvable Lie algebras; semi-simple Lie algebras; Torelli theorems; Milnor algebras; Tjurina algebras; Yau algebras; hessian Lie algebras
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) real isolated singularity; versal unfolding; moduli space; blow analytically constant stratum; topologically constant stratum; Newton boundary; weighted homogeneous isolated singularity; constructible set; subanalytic set; transversal family; trivial
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane section; generic initial ideal; sporadic zero; syzygy; codimension two; degree Tortora, A.: On the lifting problem in codimension two. Le matematiche 52, 41-51 (1997)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) toric manifold; pseudotoric structure; projective space; hyperplane section; integrable system
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) weighted dual graph; cusp singularity; torus embedding; 3-dimensional isolated singularity; resolution; exceptional set; toric divisor H. TSUCHIHASHI, Three-dimensional cusp singularities, to appear in Complex Analyti Singularities (T. Suwa and P. Wagreigh, eds.), Advanced Studies in Pure Math. 8, Kinokuniya, Tokyo and North-Holland, Amsterdam, New York, Oxford.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated line singularity; vanishing cycles; intersection form [Go] Goryunov, V. V.: The intersection form of a plane isolated line singularity. In: Mond, D., Montaldi, J. (Eds.): Singularity Theory and its Applications, Warwick 1989, Part I (Lecture Notes in Mathematics, vol. 1462) Springer-Verlag, Berlin etc., 1991, pp. 172-184.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) classifying surfaces having a hyperelliptic hyperplane section; adjoint linear system
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) comprehensive standard system; \(\kappa\)-invariant; local Euler obstruction; deformation of an isolated hypersurface singularity; Hilbert-Samuel multiplicity
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Gauss-Manin connection; weighted complete intersection; isolated singularity; monodromy operator; Betti number; mixed Hodge structure Dimca, A., \textit{monodromy and Betti numbers of weighted complete intersections}, Topology, 24, 369-374, (1985)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane section Lê, D. T., Singularity Theory, Generic sections of singularities, 677-682, (2007), World Scientific, Hackensack
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) ring of differential operators; smooth affine variety; ample line bundle; smooth projective curve; graded algebra; isolated singularity; rational singularities
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) number of components of curve; Harnack theorem; Milnor number; real plane curve singularity Jean-Jacques Risler, Un analogue local du théorème de Harnack, Invent. Math. 89 (1987), no. 1, 119 -- 137 (French).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Gauss Manin system; Hodge filtration of the mixed Hodge structure; vanishing cohomology of an isolated singularity
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) nodal curve; Poincaré's theorem; Riemann's singularity theorem Bhosle Usha, N; Parameswaran, AJ, On the Poincaré formula and Riemann singularity theorem over nodal curves, Math. Ann., 342, 885-902, (2008)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated complete intersection singularity; suspension; Coxeter-Dynkin diagrams
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hypersurface ring; maximal Cohen-Macaulay modules; non-isolated singularity Baciu, C.: Maximal Cohen -- Macaulay modules over the affine cone of the simple node
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) uniform position property; hyperplane section; generic plane curve
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) signature theorem; cusp singularity; signature defect
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) analytic mapping; Milnor number; isolated singularity; algebraic manifolds P. Dudzinski, A. Lecki, P. Nowak-Przygodzki, and Z. Szafraniec, ''On the topological invariance of the Milnor number mod 2,'' Topology, 32, 573--576 (1993).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Lines of curvatures; surfaces of the \(2^nd\) order; section; infinitely remote; imaginary circle; main plane; axes; Monge's theorem; tangent; generatrices
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated hypersurface singularity; resolution of a singularity; multiplicity of a singularity; maximal divisor; canonical divisor -, The multiplicity of isolated two-dimensional hypersurface singularities , Trans. Amer. Math. Soc. 302 (1987), 489-496.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) postulation; arithmetically Cohen-Macaulay space curve; complete intersection; numerically subcanonical curves; Hilbert function of a general hyperplane section
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) boundary singularity; skew-symmetric monodromy groups; isolated critical points; analytic functions
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated complete intersection singularity; Milnor fibration; nonisolated singularity; nonisolated complete intersection; de Rham cohomology; Gauss-Manin connection Damon, J., Nonlinear sections of nonisolated complete intersections, (), 405-445
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) surface singularity; isolated singularity; Łojasiewicz exponent; non-degenerate singularity; Newton polyhedron; \(\mu\)-constant deformation
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) space curve; postulation; liaison; hyperplane section; genus; double linkages Rosario Strano, On the genus of a maximal rank curve in \?³, J. Algebraic Geom. 3 (1994), no. 3, 435 -- 447.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isomorphism classes of finitely generated modules; isomorphism classes of maximal Cohen-Macaulay modules; isolated singularity; Grassmannian variety Popescu, D.: Maximal Cohen--Macaulay modules over isolated singularities. J. algebra 178, 710-732 (1995)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated hypersurface singularity; Lie algebra; local algebra
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) signature theorem; cusp singularity; signature defect
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) cohomologie of the Milnor fiber; isolated singularity of hypersurface; intersection form; monodromy; Gauss-Manin system; families of cycles; asymptotic expansion module; de Rham cohomology D. Barlet : La forme hermitienne canonique sur la cohomologie de la fibre de Milnor d'une hypersurface à singularité isolée , Inv. Math. 81 (1985) pp. 115-153.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) monodromy groups of singularities; symplectic lattices; vanishing homology of Lefschetz pencils; vanishing lattice; vanishing homology of an odd-dimensional isolated complete intersection singularity W.A.M. Janssen, ''Skew-symmetric vanishing lattices and their monodromy groups,'' Math. Ann. 266 (1983), 115--133
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Grassmannian; MDS code; Grassmann code; hyperplane section; uniform matroid; arcs in projective space Ghorpade S.R., Lachaud G.: Hyperplane sections of Grassmannians and the number of MDS linear codes. Finite Fields Appl. 7, 468--506 (2001)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) normal surface singularities; hyperplane sections; smoothing of curve singularity; Kulikov singularity; resolution graph; Gorenstein singularity Stevens, J.: Elliptic surface singularities and smoothings of curves. Math. Ann.267, 239-249 (1984)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) algebraic cycles; Hodge theory; hyperplane section; Abel-Jacobi map Otwinowska, A.: Composantes de dimension maximale d'un analogue du lieu de Noether--Lefschetz. Compositio Math. 131(1), 31--50 (2002)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) connection; Atiyah class; isolated singularity; Lie-Rinehart algebra Eriksen, E.; Gustavsen, T. S.: Computing obstructions for existence of connections on modules, J. symbolic comput. 42, No. 3, 313-323 (2007)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Hilbert function of a Cohen-Macaulay homogeneous domain; positive characteristic; Hilbert function of a general hyperplane section; strange curve; trisecant lemma E. Ballico and K. Yanagawa, On the \?-vector of a Cohen-Macaulay domain in positive characteristic, Comm. Algebra 26 (1998), no. 6, 1745 -- 1756.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) real algebraic curve; totally real hyperplane section; divisor; Hermite matrix; parametrized root counting
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) surfaces with a hyperelliptic hyperplane section; classification of surfaces EIN L.: Surfaces with a hyperelliptic hyperplane section, Duke math. J.50, 685-694, 1984
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; mixed Hodge structure; mixed Hodge complexes; Mayer-Vietoris sequence of quasi-projective varieties A. Durfee, Mixed Hodge structures on punctured neighborhoods.Duke Math. J. 50 (1983), 1017--1040.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) deformation of isolated complete intersection singularity; Milnor lattice; weighted homogeneous singularities; number of singularities
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) weighted homogeneous maps; complete intersection; Poincaré series of cotangent space; isolated singularity; Poincaré series Wall, C.T.C. : Weighted Homogeneous Complete Intersections (preprint).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Lefschetz fixed point theorem; singularity of moduli space; Enriques surfaces; Riemann surface; pseudoreflections; K3-surfaces
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) index; vector field; complete intersection; isolated singularity DOI: 10.1112/S0010437X04000958
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) local Picard group; Grothendieck-Lefschetz hyperplane theorem; normalization Kollár, János, Maps between local Picard groups, (2014)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Artin-Schelter Cohen-Macaulay algebra; Artin-Schelter Gorenstein algebra; Cohen-Macaulay ring; fully bounded noetherian algebra; isolated singularity; maximal Cohen-Macaulay module; non-commutative projective scheme; punctured spectrum Jørgensen, P., Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad. J. Math., 60, 379-390, (2008)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) discriminant of a holomorphic map; deformation of isolated hypersurface singularity; germs of logarithmic vector fields Hiroaki Terao. Discriminant of a holomorphic map and logarithmic vector fields. J. Fac. Sci. Univ. Tokyo Sect. IA Math., 30(2):379--391, 1983.
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane section of a K3 surface Beauville, A.; Mérindol, J.-Y., Sections hyperplanes des surfaces \(K3\), Duke Math. J., 55, 4, 873-878, (1987)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Appell-Humbert theorem; Bieberbach group; cohomology of groups; complex structure; group action; global section of line bundle; group representation; flat Riemannian manifold; holonomy group; Lyndon-Hotschild-Serre spectral sequence; Lefschetz's theorem; Lie group; (ample) line bundle; Neron-Severi group; Picard group
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Fermat hypersurface; deformations of a hyperplane section A. Beauville, Sur les hypersurfaces dont les sections hyperplanes sont à module constant , The Grothendieck Festschrift, Vol. I, Progr. Math., vol. 86, Birkhäuser, Boston, 1990, pp. 121-133.
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; Lie algebra of derivations; solvable Lie algebra Yau, S. S.-T., Solvability of Lie algebras arising from isolated singularities and non-isolatedness of singularities defined by sl(2, \textit{C}) invariant polynomials, Amer. J. Math., 113, 773-778, (1991)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) embedding of a non-hyperelliptic curve; hyperplane section; vanishing property Wahl, J, The cohomology of the square of an ideal sheaf, J. Algebraic Geom., 6, 481-511, (1997)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Lagrangian geometry; enumerative geometry; contact form; conormal variety; specialization theorem; contact theorem; Monge-Segre-Wallace criterion; point-hyperplane incidence correspondence Kleiman, S., \textit{About the Conormal Scheme. Complete Intersections (Acireale, 1983)}, 1092, 161-197, (1984), Springer, Berlin
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) singularity spectrum; vanishing cohomology; isolated hypersurface singularity; Milnor number; deformations of the singularity; limit mixed Hodge structures J. H. M. Steenbrink, ''Semicontinuity of the singularity spectrum,'' Invent. Math., vol. 79, iss. 3, pp. 557-565, 1985.
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) singular holomorphic foliations; oriented foliations; holomorphic vector fields; open manifolds; characteristic classes; Baum-Bott residues; locally free sheaves; tangent sheaf; normal sheaf; Euler class; Euler residues; complete intersections; isolated singularity; Hopf index; Milnor fibration; link of a singularity; Todd polynomial
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) low codimensional subvarieties; ruled surface; hyperplane section; degree Sabatino P., Rev. Mat. Complut. 18 pp 363-- (2005)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) incidence; conic section; Pascal's theorem Schröcker, H.P., Intersection conics of six straight lines, Beitr. Algebra Geom., 46, 435-446, (2005)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) projective curve; hyperplane section; index of speciality; Hilbert function
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hypersurface singularity; Brieskorn polynomials; weighted homogeneous polynomials; isolated singularity; complete intersections; invariants H.A. Hamm , Invariants of weighted homogeneous singularities , Journées Complexes, 1985 (Nancy, 1985) 6-13.
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) linkage; Hartshorne-Rao module; hyperplane section; arithmetically Cohen-Macaulay; liaison theory; Lazarsfeld-Rao property; deficiency modules Migliore J., An introduction to deficiency modules and liaison theory for sub-schemes of projective space (1994)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) non-isolated hypersurface singularity; Lê numbers; Newton diagram; Iomdine-Lê-Massey formula
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hypersurface isolated singularity; Milnor fibration; algorithm; computing the spectrum for plane curves Thành, L. V.; Steenbrink, J.: Le spectre d'une singularité d'un germe de courbe plane. Acta math. Vietnam 14, 87-94 (1989)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Mather-Yau theorem; charcteristic \(p\); hypersurface singularity; contact equivalence; right equivalence Greuel, G.-M.; Pham, T. H., Mather-Yau theorem in positive characteristic, J. Algebraic Geom., 26, 2, 347-355, (2017)
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) invariants; isolated complete intersection singularity; Milnor lattice; vanishing cycles; monodromy group; Dynkin diagram W. Ebeling, ''The monodromy groups of isolated singularities of complete intersections,'' Lecture Notes in Mathematics, 1293, Springer-Verlag, Berlin, 1987
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) non-Gorenstein \(\mathbb{Q}\)-Fano 3-fold; Enriques surface; rationality; hyperplane section; Du Val singularities Cheltsov, I.A.: On the rationality of non-Gorenstein \({\mathbb Q}\)-Fano \(3\)-folds with an integer Fano index. In: Birational algebraic geometry (Baltimore, MD, 1996), Contemp. Math. 207, Amer. Math. Soc., Providence, RI, 1997, 43-50.
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) versal deformation of an isolated hypersurface singularity; Milnor numbers; weight foliation; period mapping; curve singularity
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) singularity; stratified space; pseudomanifold; Poincaré duality; intersection space cohomology; intersection cohomology; sheaf theory; de Rham theorem; relative de Rham theorem; differential forms; cellular cup products; cup products on cochains
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hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) link; isolated hypersurface singularity; knot; Brieskorn polynomial; Milnor fibration; log-canonical singularity Katanaga, A.; Nakamoto, K.: The links of 3-dimensional singularities defined by Brieskorn polynomials, Math. nachr. 281, No. 12, 1777-1790 (2008)
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