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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) twisted Segre product; noncommutative graded isolated singularity; densely graded algebra; noncommutative quadric surface; maximal Cohen-Macaulay module
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; strong local complete intersection; polar multiplicity; Buchsbaum-Rim multiplicity; Nash blow-up; Milnor number; Chern-Mather class; Chern-Schwartz-MacPherson class; Fulton-Johnson's Chern class; Euler obstruction
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) smoothable singularity; \(\mathbb{Q}\)-factorial Calabi-Yau threefold; Calabi-Yau threefold; deformation theory; isolated rational Gorenstein singularities; toric Gorenstein singularities Y. Namikawa \({ref.surNamesEn}, Deformation theory of Calabi-Yau threefolds and certain invariants of singularities,, \)Journal of Algebraic Geometry\(, 6, 753, (1997)\)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) quotient; isolated singularity; algebra of invariants
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 bundle; natural embedding; hyperplane section; fundamental Schubert divisors; deformations
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Aluffi algebra; blowup algebra; isolated singularity; jacobian ideal
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-Mumford regularity; index of regularity; generic hyperplane section; uniform position property; linear semi-uniform position property; positive characteristic E. Ballico and Ch. Miyazaki, Generic hyperplane section of curves and an application to regularity bounds in positive characteristic, J. Pure Appl. Algebra 155 (2001), 93--103.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) positive characteristic; general hyperplane section; geometrically unibranch section B. Zhang,Théorèmes du type Bertini en caractéristique positive, Arch. Math.,64 (1995), pp. 209--215.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) germs of analytic functions; isolated singularity A. Zaharia, ''On simple germs with non-isolated singularities,'' Math. Scand., 68, 187--192 (1991).
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 intersections; 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) isolated singularity; Milnor fibre; monodromy; Brieskorn lattice; mixed Hodge structures; mirror symmetry
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) configuration space; Morse function; Lefschetz theorem of hyperplane sections; CW-complex Kamiyama Y. and Tezuka M. (1999). Topology and geometry of equilateral polygon linkages in the Euclidean plane. Q. J. Math. 50: 463--470
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) vector fields on analytic spaces; isolated hypersurface singularity; smoothing of a normal 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) symplectic manifold; local symplectic algebra; algebraic restrictions; relative Darboux theorem; isolated complete intersection singularities [D2] W. Domitrz, Zero-dimensional symplectic isolated complete intersection singularities, Journal of Singularities 6 (2012), 19-26.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Yau number; isolated hypersurface singularity; derivation Lie 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) Milnor number; complete intersection; 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) mixed Hodge theory; deformation of symplectic singularities; contact singularity; no isolated contact singularities F. Campana and H. Flenner, Contact singularities , Manuscripta Math. 108 (2002), 529--541. \CMP1 923 538
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) determinantal singularity; non-isolated singularity; vanishing topology
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Lagrangian spheres; isolated singularities; hyperplane sections; degenerations of algebraic 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) klt singularity; singular Ricci-flat metric; tangent sheaf; Campana's Abelianity Conjecture; holonomy representation; Beauville-Bogomolov Decomposition Theorem; étale cover
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) \(D\)-modules; Hodge modules; Hodge filtration; pole order filtration; logarithmic differential forms; simple normal crossing divisors; complements of hypersurfaces; de Rham complex; \(b\)-function; polarized abelian varieties; ample divisors; theta divisors; Prym varieties; semiquasihomogeneous isolated singularities; generic determinantal hypersurfaces; vanishing criteria; Kodaira vanishing theorem; Akizuki-Nakano vanishing theorem; Nadel vanishing theorem; Griffiths vanishing theorem; Artin vanishing theorem
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) deformations of an isolated singularity; tangent space; rational surface singularity; exceptional divisor K. Behnke and H. Knörrer, On infinitesimal deformations of rational surface singularities, Compos. Math. 61 (1987), no. 1, 103-127.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Tjurina number; isolated complete intersection singularity; Milnor number; miniversal deformation; Hodge number; mixed Hodge structure; local cohomology group DOI: 10.1007/BF01455800
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Hodge theory in transcendental algebraic geometry; polarized variation of Hodge structure; Hodge bundles; rigidity theorem; structure theorem; removable singularity theorem; monodromy theorem; algebraization theorem; Gauß-Manin connection
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) algebra of derivation; sl(2,\({bbfC})\)-action; solvable Lie algebra; isolated singularity; moduli algebra Stephen S.-T. Yau, Singularities defined by \?\?(2,\?) invariant polynomials and solvability of Lie algebras arising from isolated singularities, Amer. J. Math. 108 (1986), no. 5, 1215 -- 1239.
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 bundle; 4-folds; hyperplane section; extension of holomorphic map; ample and spanned line bundle
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) germs of analytic varieties; singular subspace; analytic type of an analytic variety; isolated singularity type
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; isolated singularity; vanishing cycles S. Szczepanki, Geometric bases and topological equivalence , Comm. Pure Appl. Math. 40 (1987), 389-399.
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; isolated singular points of complex-analytic spaces; singularities of complete intersections; link; fibration theorem; Picard Lefschetz formulae; homotopy type of the Milnor fibre; deformations of isolated singularities; local monodromy group; Tjurina number; Milnor number E.J.N. Looijenga , ''Isolated singular points on complete intersections'' , Cambridge University Press , 1984 . MR 747303 | Zbl 0552.14002
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) maximum genus; space curve; reflexive sheaf; Halphen problem; liaison; arithmetically Cohen-Macaulay; hyperplane section; initial degree
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) topology near infinity; good polynomial map; unfolding of an isolated singularity; complex hypersurface; fibred links; codimension 2 submanifold of a sphere; connected sum; Murasugi sum; cabling; polynomial injections of \({\mathbb{C}}\) into \({\mathbb{C}}^ 2\) W. Neumann and L. Rudolph, Unfolding in knot theory, Mathematische Annalen 278 (1987), 409--439; Corrigendum to ''Unfoldings in knot theory'', Mathematische Annalen282 (1988), 349--351.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Gorenstein singularities; 2-dimensional normal singularity; Kodaira dimension; isolated singularity; pluri-genera S. ISHII, Two dimensional singularities with bounded plurigenera m are Gorenstein singularities, to appear in Proc. Iowa city singularities conference, Contemporary Mathematics series of AMS.
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; weighted homogeneous
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 singularities; topological type of an isolated hypersurface singularity Parameswaran, A.J., Classification of isolated complete intersection singularities, Proc. Indian acad. sci. math. sci., 99, 1, 17-25, (1989)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) injective homomorphism of product of local rings; length formulas for the local cohomology; module of differential forms on a complete intersection with isolated singularity Bruns, W. andVetter, U., Length formulas for the local cohomology of exterior powers,Math. Z. 191, (1986), 145--158.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) genus; projective space; zero-dimensional curvilinear subscheme; hyperplane section; deformation theory; smoothing Walter C., Comm. Algebra 22 (13) pp 5167-- (1994)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) reductive group; Chern class; hyperplane section; Euler characteristic Kiritchenko, V, On intersection indices of subvarieties in reductive groups, Mosc. Math. J., 7, 489-505, (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) differentials; affine hypersurface; Jacobian ideal; torsion submodule; isolated singularity Michler, R. I., Torsion of differentials of hypersurfaces with isolated singularities, \textit{J. Pure Appl. Algorithm}, 104, 81-88, (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 singularity; normal crossings divisor; Milnor fibre; local system; vanishing cohomology Dimca, A., Libgober, A.: Local topology of reducible divisors. math.AG/0303215. Real and Complex Singularities, Trends in Mathematics. Birkhauser, Basel, p. 99--111 (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) weighted homogeneous; isolated singularity; invariants
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) variation of Hodge structure; hyperplane section; simple singularities Damien Mégy, Sections hyperplanes à singularités simples et exemples de variations de structure de Hodge, Ph. D. Thesis, Institut Fourier (Grenoble), available at , 2010
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) log canonical threshold; hypersurfaces; hyperplane section Cheltsov, I.: Log canonical thresholds on hypersurfaces. Sb. Math. 192, 1241--1257 (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) projective curve; hyperplane section; arithmetically Cohen-Macaulay curve; arithmetically Gorenstein 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) compact smooth manifolds; projective complexification; Blow ups; Hironaka resolution; real algebraic model; parallelizable; orientable; de Rham cohomology; Nash Tognoli theorem; universal coefficient theorem; homotopy extension theorem; Hopf's theorem; Lefschetz hyperplane theorem; characteristic classes Kucharz, W., Kurdyka, K.: Comparison of stratified-algebraic and topological K-theory. arXiv:1511.04238 [math.AG]
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 in projective 4-space; minimal degree; hypersurface; degenerate surface; liaison; ideal of the general hyperplane section Mezzetti E. (1992). The border cases of the lifting theorem for surfaces in \({\mathbb {P}^4}\) . J. Reine Angew. Math. 433: 101--111
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Jacobian variety; rational points; linear pencil of projective plane curves; Mordell-Weil lattices; Manin-Shafarevich theorem; height pairing; Lefschetz pencils of hyperplane sections Shioda, T.: Generalization of a theorem of Manin-Shafarevich. Proc. Japan acad. 69A, 10-12 (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) isolated singularity; Milnor number; equivariant 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) germs of real analytic functions; almost isolated singularity Jeddi, A.; Mardhy, A.: Pôles de \(\intAf{\lambda}\square \)pour une singularité presque isolée. Manuscripta math. 97, 435-452 (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) Gauss-Manin system; Fourier transform; Birkhoff problem; tame polynomial; isolated hypersurface singularity; Brieskorn lattice Boutet de Monvel, L.: \(D\)-modules holonômes réguliers en une variable. In: Mathématique et Physiques, Progr. in Math., vol. 37, pp. 281-288. Birkhäuser, Basel (1983)
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 number of an isolated hypersurface singularity; Betti numbers of the Milnor fibre; Hodge filtration; De Rham cohomology D. van Straten, On the Betti numbers of the Milnor fibre of a certain class of hypersurface singularities, Singularities, representation of algebras, and vector bundles (Lambrecht, 1985) Lecture Notes in Math., vol. 1273, Springer, Berlin, 1987, pp. 203 -- 220.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) contraction of the minimal section of a ruled surface; Gorensteinness of two-dimensional singularity; Frobenius action; extension class Hidaka, F., Tomari, M., On singularities arising from the contraction of the minimal section of ruled surfaces, Manuscripta math., 65 (1989), 329-347.
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; Gauss-Manin connection; resdiue map , The higher residue pairings K\(\) for a family of hypersurface singular points, in Singularities (P. Orlik, ed.), Proc. Symp. in Pure Math., AMS 40, part 2, (1983), 441-463.\(\)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) mixed Hodge structure on the cohomology of the Milnor fibre of an isolated hypersurface singularity; holonomic D-modules; Hodge filtration J. Scherk andJ. H. M. Steenbrink, On the mixed Hodge structure on the cohomology of the Milnor fibre. Math. Ann.271, 641--665 (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) quasi-homogeneous sipmle \(K3\) singularity; distribution of the terminal singularities on the minimal resolution of isolated 3-dimensional singularity K. WATANABE, Distribution formula for terminal singularities on the minimal resolution of quasi-homogeneous simple ^3-singularity, Thoku Math. J. 43 (1991) 275-288.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) threefold singularity; terminal isolated singularities; compound DuVal singularities; minimal discrepancy Markushevich, D., \textit{minimal discrepancy for a terminal cdv singularity is 1}, J. Math. Sci. Univ. Tokyo, 3, 445-456, (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) Castelnuovo method; genus; irreducible curve; degree; hyperplane section; cohomology of the ideal sheaf; resolution of the ideal R. Strano, Plane sections of curves of \?³ and a conjecture of Hartshorne and Hirschowitz, Rend. Sem. Mat. Univ. Politec. Torino 48 (1990), no. 4, 511 -- 527 (1993). Commutative algebra and algebraic geometry, I (Italian) (Turin, 1990).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) section of reflexive sheaf; Bertini theorem
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; fundamental group; local parametrization; algebraization
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) germ of 2-dimensional isolated hypersurface singularity; singularity of cyclic type; signature; Milnor fiber T. ASHIKAGA, Surface singularities on cyclic coverings and an inequality for the signature, J. Math. Soc Japan 51 (1999), 485-521.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) bound for arithmetic genus; hyperplane section; uniform position; positive characteristic
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; isolated singularity; weighted homogeneous
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; moduli algebra; Milnor number; Brieskorn-Pham singularity; Kouchnirenko's formula 149 A. Elashvili, M. Jibladze, and È.~B. Vinberg, \emph Moduli algebras of some simplest non-semiquasihomogeneous singularities, Funct. Anal. Appl., \textbf 51:2 (2017),
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) smoothing of singularities; versal deformation; 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) isolated singularity; hypersurface singularity; quasi-homogeneous; 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) rational threefold; linear system; general hyperplane section; birational map; projection from a line
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; Hartshorne-Rao module; general hyperplane section Maruyama, M.: The rationality of the moduli spaces of vector bundles of rank 2 on \({\mathbb{P}}^2\). With an appendix by Isao Naruki. Adv. Stud. Pure Math., 10, Algebraic geometry, Sendai, 1985, pp. 399-414, North-Holland (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) tangent bundle; not representable as a section of any smooth manifold by a; hyperplane; not representable as a section of any smooth manifold by a hyperplane
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) polynomial mapping; complete intersection; isolated singularity; De Rham cohomology; relative De Rham complex; global Milnor number; quasi-cone Bonnet, P.: Relative cohomology of polynomial mappings. Manuscripta Math. 110 (2003), no. 4, 413-432.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) geometric genus; quasihomogeneous isolated singularity; minimal resolutions
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) ample bundle; Lefschetz hyperplane theorem; determinantal locus; Griffiths \(k\)-positive; Brill-Noether loci
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; contact equivalence relations; simple germs Alexandru Dimca, Function germs defined on isolated hypersurface singularities, Compositio Math. 53 (1984), no. 2, 245 -- 258.
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 cyclic covers; noetherian graded domain; divisorial ideal; fractional divisor; normal graded rings; isolated singularity Masataka Tomari and Keiichi Watanabe, Normal \(Z_r\)-graded rings and normal cyclic covers , Manuscr. Math. 76 (1992), 325--340.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) resolution of singularity; isolated singular point; rational singularities; double covering
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) deformations of affine torus; deformation of the isolated singularity K. ALTMANN, Deformations of affine torus varieties, Beitrage zur Algebra und Geometrie 34 (1993), 119-150.
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 arrangement; singularity; Hirzebruch-Milnor class; Milnor-Hirzebruch class; Steenbrink spectrum; Hodge spectrum
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) right preresolution; noncommutative isolated singularity; noncommutative quadric hypersurface
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) arrangements of lines; Brianchon theorem; Pascal theorem; conic 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) Torelli theorem; elliptic singularity; derivation Lie algebra; \(k\)-th 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) isolated complete intersection singularities; real morsification; Dynkin diagram; planar curve singularity Gusein-Zade, S. M.: Method of real morsifications for complete intersection singularities. C. R. Acad. Sci. Paris, Sér. I, t. 319, 391--396 (1994).
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; weighted homogeneous polynomial; projective plane curve; analytic equivalence; topological equivalence
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; isolated singularity; weighted homogeneous 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) determinantal ideal; height; Jacobian matrix; excellent regular local ring; regular sequence; \(R_{n+1}\); minimal generating set; 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) Stiefel-Whitney classes; Chern classes; Pontryagin classes; cohomology of sheaves; derived functors of the global section functor; cohomology with compact support; soft sheaves; De Rham theorem; Poincaré duality; local cohomology; submanifolds; degree; trace maps; diagonal class; algebraic varieties; algebraic cycles; local intersection symbol; resolutions of soft sheaves; distributions; hyperfunctions Iversen, B.: Cohomology of Sheaves. Lecture Notes Series, vol. 55. Aarhus Universitet Matematisk Institut, Aarhus (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) intersection form of 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) lifting problem; general hyperplane section Mezzetti E. (1994). Differential-geometric methods for the lifting problem and linear systems on plane curves. J. Algebraic Geom. 3(3): 375--398
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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) topological index; vector field; complete intersection; isolated singularity Aleksandrov, A. G., L'indice topologique des champs de vecteurs sur LES intersections complètes quasi-homogènes (à la mémoire de Henri Poincaré), C. R. Acad. Sci., Paris. Sér. I. Math., 350, 911-916, (2012)
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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) coniveau filtration; Washnitzer conjecture; varieties with at most one isolated singularity; Leray spectral sequence; de Rham complex [C3]A. Collino: ``Washnitzer's Conjecture and the cohomology of a variety with a single isolated singularity{'', Ill. J. of Math, vol. 29, 3 (1985) pp. 353--364.}
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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; regular system of weights
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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) fewnomial; Lie algebra; isolated 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) resolution of surface singularities; triple section surface; target point; triple covering; inner double points; Durfee's conjecture; two- dimensional hypersurface singularities of multiplicity 3; Milnor number; simple elliptic singularity Némethi, A.: Dedekind sums and the signature of \(f(x,y)+z^N\). Selecta. Math. (N.S.) \textbf{4}(2), 361-376 (1998)
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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) Lefschetz theorems; complex analytic space; Whitney stratification; rectified homotopical depth; hyperplane section H. A. Hamm and Lê Dũng Tráng, ''Rectified Homotopical Depth and Grothendieck Conjectures,'' in Grothendieck Festschrift (Birkhäuser, Boston, 1990), Vol. 2, Prog. Math. 87, pp. 311--351.
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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 hypersurface singularity; weighted homogeneous ideal; moduli algebra
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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) algebraic embeddings; linear embedding; normal quartic hypersurface; triple point; hyperplane section; normal forms T. Ohta: The structure of algebraic embeddings of \(\mathbb{C}^{2}\) into \(\mathbb{C}^{3}\) (the normal quartic hypersurface case . I), Osaka J. Math. 38 (2001), 507--532.
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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) de Rham complex; local duality; isolated Gorenstein singularity; quasihomogeneous complete intersections
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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) characterizing curves on surfaces; hyperplane section
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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) Milnor fiber; limit Hodge filtration; isolated singularity; base change M. Saito , Supplement to ''Gauss-Manin Systems'' . Astérisque no 101-102 (1983) 320-331.
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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) resolution of singularities; isolated algebraic singularity; symplectic manifold; contact hypersurface J. McCarthy and J. Wolfson, \textit{Symplectic resolution of isolated algebraic singularities}, Geometry, topology, and dynamics (Montreal, PQ, 1995), CRM Proceedings and Lecture Notes 15 (AMS, Providence, RI, 1998), 101-105. 38 Resolving symplectic orbifolds
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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) regular singularity; Fuchsian differential module; Hartogs theorem Gachet, F.: Structure fuchsienne pour des modules différentiels sur une polycouronne ultramétrique. Rend. sem. Mat. univ. Padova 102, 157-218 (1999)
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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) Del Pezzo manifold; hyperplane section; polarized manifold; ample line bundle; discriminant locus; singular elements of the linear system; degeneracy loci; adjunction; nefness DOI: 10.1515/crll.1996.477.199
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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) maximal Cohen-Macaulay module; finite Cohen-Macaulay representation type; isolated singularity; hypersurface ring; Auslander-Reiten sequences; Auslander-Reiten quiver; MCM approximations Leuschke G.\ J. and Wiegand R., Cohen-Macaulay representations, Math. Surveys Monogr. 181, American Mathematical Society, Providence 2012.
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