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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) extremal contraction; threefold; extremal curve germ; terminal singularity; sheaf Mori, S.; Prokhorov, Yu. G., Threefold extremal contractions of type (IIA). I, Изв. РАН. Сер. матем., 80, 5, 77-102, (2016)
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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) Teissier-Plücker formula; projective varieties with isolated singularities; Buchsbaum-Rim multiplicity Steven L. Kleiman, A generalized Teissier-Plücker formula, Classification of algebraic varieties, Contemporary Mathematics 162, American Mathematical Society, 1992, p. 249-260
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) functions with given singularities; Riemann-Roch 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 complex hypersurface singularities; multiplicity; 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) isolated singularities; homotopy theory of arrangements of hyperplanes; K(\(\pi \) ,1)-space Michael Falk and Richard Randell, On the homotopy theory of arrangements, Complex analytic singularities, Adv. Stud. Pure Math., vol. 8, North-Holland, Amsterdam, 1987, pp. 101 -- 124.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) perverse sheaves; hyperplane arrangements; Cousin complexes
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) addition theorem for theta functions of Jacobian varieties; trilinear functional equations Бухштабер, В. М.; Кричевер, И. М., Интегрируемые уравнения, теоремы сложения и проблема римана--шоттки, УМН, 61, 1-367, 25-84, (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) domain of periods; Torelli theorem; Kählerian K 3 surfaces; Hodge isometry; marked K 3 surface A. Beauville, Préliminaires sur les périodes des surfaces K3 , Astérisque 126 (1985), 91-97.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) textbooks; elliptic curves; modular curves; Riemann surfaces; complex tori; modular forms; zeta and \(L\)-functions; Fermat's last theorem; modularity theorem; Serre's conjectures J. Milne, \textit{Elliptic Curves}, BookSurge Publishers (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) Tsen's theorem; complete Fano intersections; Fano variety; rationally connected
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) tetragonal curves; Prym varieties; two-sheeted covering; Torelli 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) Grothendieck group; quotient singularity J. Herzog, E. Marcos and R. Waldi, On the Grothendieck group of a quotient singularity defined by a finite abelian group,J. Algebra 149 (1992), 122--138
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) \(\ell\)-adic cohomology; perverse sheaves; decomposition theorem; independence of \(\ell\); perverse compatible 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) rigidity; infinitesimal deformations of a two-dimensional cusp singularity [Be 1] K. Behnke. Infinitesimal deformations of cusp singularities. Math. Ann. 265, 407--422, 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) surface singularity; deformation; modality; pluri-genus; Milnor number; Tjurina number Okuma T. The second pluri-genus of surface singularities. Compos Math, 1998, 110: 263--276
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) canonical model of compact Kähler manifolds; canonical ring; effective divisor; log-terminal singularity Nakayama, N.: The singularities of the canonical model of complex K?hler manifolds. Math. Ann.280, 509-512 (1988)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hypercohomology; truncated twisted holomorphic de Rham complex; Leray-Hirsch theorem; Künneth theorem; Poincaré-Serre duality theorem; blowup formula
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) curve; variety; genus; singularity; dimension; rational function; tangent space; surface; birational equivalence Reid, M.: Undergraduate algebraic geometry. London mathematical society student texts (1988)
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 function field; strongly normal; weakly normal; movable 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) stable curve; moduli space; Clifford theorem; Picard scheme; Brill-Noether Caporaso L.: Brill-Noether theory of binary curves. Math. Res. Lett. 17(2), 243--262 (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) triangle singularity; Kleinian singularity; Fuchsian singularity; weighted projective line; vector bundle; singularity category; Cohen-Macaulay module; stable category; ADE-chain; Nakayama algebra; Happel-Seidel symmetry D. Kussin, H. Lenzing, and H. Meltzer, \emph{Triangle singularities, {ADE}-chains, and weighted projective lines}, Adv. Math. \textbf{237} (2013), 194--251. \MR{3028577}
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) pseudoquaternion homeomorphism; fundamental theorem of projective geometry
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Ohsawa-Kollar-type vanishing theorem; Harmonic integrals
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) abstract elliptic function fields; automorphisms; meromorphisms; addition theorem Hasse, H.: Zur theorie der abstrakte elliptischen funktionenkörper. II. automorphismen und meromorphismen. Das additionstheorem. J. reine angrew. Math. 175, 69-88 (1936)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) existence of positive real zeros; existence of global minimizers; multivariate Descartes' rule of signs; coercive polynomial; Birch's 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) Pfaffian quadratic singularity; theta-divisor of the Prym variety; singularities with tangent cone; Mumford singularities V. Kanev,Quadratic singularities of the Pfaffian theta divisor of a Prym variety, Math. Notes of the Ac. of Sc. of the USSR,31 (1982), 301--305.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Euler characteristic; Riemann-Roch theorem; Chern class; Galois cover; \(K\)-group; adeles; tame symbol T. Chinburg, G. Pappas and M.\ J. Taylor, Higher adeles and nonabelian Riemann-Roch, preprint (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) real algebraic geometry; real algebraic varieties; complexification; Smith's theory; Galois-Maximal varieties; algebraic cycles; real algebraic models; algebraic curves; algebraic surfaces; topology of algebraic varieties; regular maps; rational maps; singularities; algebraic approximation; Comessatti theorem; Rokhlin theorem; Nash conjecture; Hilbert's XVI problem; Cremona group; real fake planes
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) \(\phi \)-module; strict ring; Dieudonné-Manin theorem; Harder-Narasimhan filtration
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 abundance theorem; semilog canonical surfaces; Kodaira dimension Abramovich, D.; Fong, L.-Y.; Kollár, J.; McKernan, J., Semi log canonical surfaces, Flips and abundance for algebraic threefolds, Astérisque, 211, 139-154, (2002), MR1225842
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) sums of units; theorem of Picard-Borel; rational points; Hilbert's irreducibility theorem; finiteness of number of holomorphic mappings; quasiprojective spaces; de Franchis 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) variation of Hodge structures; 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) hyperplane arrangements; minimality; local system cohomology Yoshinaga, M., Minimality of hyperplane arrangements and basis of local system cohomology, (Singularities in geometry and topology, IRMA lect. math. theor. phys., vol. 20, (2012), Eur. Math. Soc. Zürich), 345-362
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Thom-Sebastiani Theorem; Künneth formula; nearby cycle; vanishing topos; convolution Illusie, L.: Around the Thom-Sebastiani theorem, with an appendix by Weizhe Zheng. Manuscr. Math. (2016). 10.1007/s00229-016-0852-0
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Noether-Lefschetz theorem; nontrivial complete intersection curves contained in a general hypersurface; Hilbert schemes; Hilbert functions Szabó, E.: Complete intersection subvarieties of general hypersurfaces, Pacific J. Math. 175, No. 1, 271-294 (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) analytic stack; higher stack; Grauert's theorem; analytification; GAGA; rigid analytic geometry; Berkovich space; infinity category M. Porta and T.\ Y. Yu, Higher analytic stacks and GAGA theorems, preprint (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) Jacobian conjecture; Hadamard's theorem; global inversion theorem Balreira, E., Foliations and global inversion, Comment. Math. Helv., 85, 73-93, (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) regular sequence; monomial conjecture; local ring; Koszul homology; modules of generalized fractions; determinantal map; poor M-sequences; local cohomology; Lichtenbaum-Hartshorne theorem O'Carroll L, Generalized fractions, determinantal maps, and top cohomology modules, J. Pure Appl. Algebra 32(1) (1984) 59--70
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) holomorphic equivariant torsion; Riemann-Roch theorem; Arakelov geometry; equivariant Quillen metric; index theorem J.M. Bismut, S. Goette, Torsions analytiques eAquivariantes holomorphes, C. R. Acad. Sci. Paris 329 (I) (1999), 203-210.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Conic section; points
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 structures; equations; algebraic sets; radical ideal; coordinate algebra; Zariski topology; equationally Noetherian algebras; \(q_\omega\)-compactness; \(u_\omega\)-compactness; metacompact algebras; metacompact spaces; equationally Artinian algebras; prevarieties; varieties; free algebras; equational domains; Hilbert's basis theorem P. Modabberi and M. Shahryari, Compactness conditions in universal algebraic geometry, Algebra Logic 55 (2016), no. 2, 146-172.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) modular Galois representations; automorphic forms; modular curve; Hecke operators; Frobenius; geometric Frobenius; arithmetic Frobenius; Eisenstein series; Eisenstein ideals; Hecke algebra; crystalline extensions; multiplicity one theorem 10. Faltings, Gerd and Jordan, Bruce W. Crystalline cohomology and GL(2,<b>Q</b>)\textit{Israel J. Math.}90 (1995) 1--66 Math Reviews MR1336315
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) correspondence; enriched category; characteristic class; Riemann-Roch theorem; Todd class
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 reduction number; two-dimensional singularity; homogeneous 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) first order infinitesimal deformations; minimally elliptic surface singularities; Gorenstein singularity; exceptional divisor K. Behnke, On infinitesimal deformations of minimally elliptic singularities , preprint, 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) partial ordering; partitions; specialization order; permutation representations; symmetric groups; orbits of nilpotent matrices; Gale-Ryser theorem M. Hazewinkel and C. Martin, ''Representations of the symmetric group, the specialization order, systems and the Grassmann manifold,''L'Enscign. Math.,29, 53--87 (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) SYZ fibration; Lagrangian section; wrapped Fukaya category; tilting objects Chan, K., Pomerleano, D., Ueda, K.: Lagrangian torus fibrations and homological mirror symmetry for the conifold. arXiv:1305.0968
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) linkage; configuration space; universality theorem; semi-algebraic set; algebraic set; Minkowski plane; hyperbolic geometry; spherical geometry; metric geometry; Riemannian geometry Kourganoff, M.: Universality theorems for linkages in homogeneous surfaces (2014, preprint). arXiv:1407.6815
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's irreducibility theorem; Kummer theory; Chebotarev density theorems; abelian varieties; Campana's conjectures; Lang's conjectures; rational points; ramified covers
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) dimension of obstruction space for deformations; cyclic quotient singularity; Wahl's conjecture Christophersen, J. , Monomial curves and obstructions on cyclic quotient singularities, in 'Singularities, representations of algebras and vector bundles, Lambrecht 1985 ,' Lecture Notes in Mathematics 1273, Springer Verlag, Berlin-Heidelberg- New York.
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 non-rational subfields; number of separable subfields; number of morphisms of algebraic curves; Chow coordinates; theorem of the base; Jacobian; genus; function field; Angle theorem; de Franchis' theorem E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) dual varieties; isolated singularities; irreducible cycles
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) parabolic bundle; Higgs field; Torelli theorem parabolic bundle; Higgs field; Torelli theorem I. Biswas, T.L. Gómez, M. Logares, Integrable systems and Torelli theorems for the moduli spaces of parabolic bundles and parabolic Higgs bundles, preprint (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) explicit Noether-Lefschetz theorem; vanishing theorem for Koszul cohomology M. Green, A new proof of the explicit Noether-Lefschetz theorem, J. Differential Geom. 27 (1988), 155-159. Zbl0674.14005 MR918461
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Arakelov geometry; intersection theory; arithmetic Riemann-Roch theorem J.-B. Bost, Théorie de l'intersection et théorème de Riemann-Roch arithmétiques , Astérisque (1991), no. 201-203, Exp. No. 731, 43-88 (1992).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) bundle (=pencil) of plane algebraic curves; bundle (=pencil) of conics; cyclic points at infinity; bundle (=pencil) of circles; theorem of the three conics
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) syzygy; stable bundle; Grauert-Mülich theorem; weak Lefschetz property; artinian algebra; monomial complete intersection \beginbarticle \bauthor\binitsH. \bsnmBrenner and \bauthor\binitsA. \bsnmKaid, \batitleA note on the weak Lefschetz property of monomial complete intersections in positive characteristic, \bjtitleCollect. Math. \bvolume62 (\byear2011), page 85-\blpage93. \endbarticle \endbibitem
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) super-isolated abelian varieties; isogeny class; polarized isomorphisms
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) disjoint divisors; Chow group; regular functions; Hodge index 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) Belyi function; Belyi's theorem; Belyi surface; dessins d'enfants; Riemann surfaces Singerman, D; Bujalance, E (ed.); Costa, AF (ed.); Martínez, E (ed.), Riemann surfaces, Belyi functions and hypermaps, 43-68, (2001), Cambridge
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Tate module; Galois representation; analogue of Falting's semi-simplicity theorem; Shafarevich-type finiteness result; isogenies of Drinfel'd modules; heights \textsc{R.~Dedekind}\textsc{and}\textsc{H.~Weber}, Theorie der algebraischen Functionen einer Veränderlichen, J. Reine Angew. Math. \textbf{92} (1882), 181-290.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) 4-manifolds; \(\text{SU} (2)\)-connections; implicit function theorem; non- minimal solutions; Yang-Mills equations
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) view graph; aspect graph; piecewise smooth surface; singularity theory; generic surface singularities J.H. Rieger, On the complexity and computation of view graphs of piecewise smooth algebraic surfaces, Philos. Trans. Roy. Soc. London Ser. A 354 (1996), 1899--1940
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Pierce-Birkhoff conjecture; piecewise polynomials; isolated points Mahé, Louis, On the Pierce-Birkhoff conjecture, Rocky Mountain J. Math., 14, 4, 983-985, (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) complex suspension theorem; Lawson homology; generalized cycle map; joins of algebraic cycles; integral currents; Thom isomorphisms; generalized flag varieties; compact hermitian symmetric spaces; reductive group action Lima-Filho P.: On the generalized cycle map. J. Differ. Geom. 38, 105--130 (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) canonical singularities; birational classification; contraction theorem; terminal singularities; extremal ray; existence of flips J. Kollár and S. Mori,Birational Geometry of Algebraic Varieties, Cambridge Univ. Press, to appear.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) cyclotomic cohomology; cyclotomic polynomial; Hilbert theorem 90; cyclic extension; rationality of algebraic tori
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) integral points; entire curves; hyperbolicity; Weil functions; Schmidt subspace theorem; second main theorem Heier, G; Ru, M, Essentially large divisors and their arithmetic and function-theoretic inequalities, Asian J. Math., 16, 387-407, (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) semigroup of integral points; convex body; graded algebra; Hilbert function; Hodge index theory; mixed volume; Alexandrov-Fenchel inequality; Bernstein-Kushnirenko theorem; Cartier divisor; linear series Kaveh, K. and Khovanskii, A., Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, \textit{Ann. of Math. (2)}176 ( 2012), no. 2, 925- 978.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) \(p\)-adic uniformization of Shimura curves; nonarchimedean upper half plane; theorem of Cherednik and Drinfeld; rigid-analytic variety; Mumford curves Boutot, J.-F.; Carayol, H., Uniformisation \textit{p}-adique des courbes de Shimura: les théorèmes de Čerednik et de Drinfeld, Astérisque, 196-197, 45-158, (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) Verma module; weight; modules of sections; theorem of Beilinson- Bernstein; algebraic group; category of \({\mathcal D}_ \lambda\)-modules Joseph, A.; Perets, G.; Polo, P.: Sur l'équivalence de catégories de Beilinson et Bernstein. CR acad. Sci. Paris sér. I 313, 705-709 (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 singularities; non-\(\mathbb{Q}\)-Gorenstein; nef envelope; log canonical modification Y. Zhang, On the volume of isolated singularities, Compos. Math. 150 (2014), no. 8, 1413--1424.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) survey; topos; generalized space; represenation theorems; Grothendieck topos; locales; localic groups; groupoids; geometric morphisms; Barr's theorem; Freyd's theorem; étendue; covering theorems; exponential variety; topological group Peter T. Johnstone, How general is a generalized space?, Aspects of topology, London Math. Soc. Lecture Note Ser., vol. 93, Cambridge Univ. Press, Cambridge, 1985, pp. 77 -- 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) rational ruled surface; meromorphic functions; Jacobian; invariant image curve; reduction 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) singularity; toric variety S. Ishii, ''Arcs, valuations and the Nash map,'' J. Reine Angew. Math., vol. 588, pp. 71-92, 2005.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) elementary transformation; elliptic soliton; Hitchin system; residue section; ruled surface; tangential 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) hyperplane sections of surfaces; linear series; adjunction map
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 theory; isolated singularities; critical points; Picard-Lefschetz theory; Gauss-Manin connection; Picard-Fuchs systems; oscillating integrals; abelian integrals; Hodge structures; period mappings; regular and irregular singularities; Riemann-Hilbert problem; isomonodromic deformations; holomorphic foliations; differential Galois theory; hypergeometric functions \.Zoł\polhk adek, Henryk, The monodromy group, Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne (New Series) [Mathematics Institute of the Polish Academy of Sciences. Mathematical Monographs (New Series)] 67, xii+580 pp., (2006), Birkhäuser Verlag, Basel
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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 schemes; Noether-Lefschetz theorem C. CILIBERTO - V. DI GENNARO, Boundedness for low codimensional subvarieties, to Appear in Proceedings of Conference Held at the ESI of Wien in October 2000 (Editor Prof. Popov). Zbl1066.14007 MR2090667
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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) existence of moduli space for elliptic surface; global coarse moduli; genus; invariant theory; elliptic surfaces with a section W.K. Seiler : Global moduli for elliptic surfaces with a section , Comp. Math. 62 (1987) 169-185.
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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) uniformization theorem; log Higgs bundle; quasi-projective manifold
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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) dual graph of a semistable curve; generic Torelli theorem; irrationality of the general cubic 3-fold
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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) Kodaira dimension; Moishezon threefold; compact complex threefolds; algebraic threefolds; non-Kählerian rigidity theorem
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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) Enriques surfaces; derived categories; Torelli theorem
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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) rational surface; ample canonical divisor; cyclic singularity; \(\mathbb{Q}\)-homology projective plane 10.1090/S0002-9939-2011-11038-4
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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) homogeneous space; Lie groups; flag manifold; vanishing theorem Snow, D.M. and Weller, K. : A vanishing theorem for generalized flag manifolds , Arch. Math. 64 (1995), 444-451.
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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) canonical singularity; record; anti-plurigenera; minimal model Iano-Fletcher A.R. (1989). Inverting Reid's exact plurigenera formula. Math. Ann. 284(4): 617--629
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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) algorithm for Weierstrass gap sequences; Gorenstein curves; Weierstrass weight; Gorenstein singularity Notari, R.: On the computation of Weierstrass gap sequences, Rend. sem. Mat. univ. Pol Torino 57, No. 1 (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) schemes; algebraic surfaces; differentials; cotangent spaces; Serre's duality theorem; algebraic curves Miyanishi, Masayoshi: Algebraic geometry. Transl. math. Monogr. 136 (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) singularity; zeta functions; poles Rodrigues, B., Veys, W.: Poles of zeta functions on normal surfaces. Proc. London Math. Soc. 87, 164--196 (2003)
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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) codimension 2 Buchsbaum variety; linear space sections; Castelnuovo type of vanishing theorem Giorgio Bolondi and Rosa M. Miró-Roig, Two-codimensional Buchsbaum subschemes of \?\(^{n}\) via their hyperplane sections, Comm. Algebra 17 (1989), no. 8, 1989 -- 2016.
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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) Hochschild homology; derived algebraic geometry; loop space; filtered circle; HKR theorem; de Rham cohomology
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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 arrangements; algebra of differential operators; Hochschild cohomology
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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) toroidal singularity; polyhedral cones; string cohomology; Cohen-Macaulay rings; mirror symmetry; Calabi-Yau hypersurfaces Borisov, LA, String cohomology of a toroidal singularity, J. Algebraic Geom., 9, 289-300, (2000)
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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) elliptic Gorenstein singularity; log Enriques surface; log-canonical threshold Prokhorov, Yu.: Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces. J. Math. Sci. \textbf{115}, 2378-2394 (2003)
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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) decomposition; geometry; theorem proving [4] S.-C. Chou and X.-S. Gao, \textit{Ritt-Wu's decomposition algorithm and geometry theorem proving}, Proc. 10th International Conference on Automated Deduction (M.E. Stickel, ed.), pp. 207-- 220, Springer, Berlin (1990).
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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; analytic map-germ; deformation of singularity Fernandes, A., Soares Jr., C. H.: On the bi-Lipschitz triviality of families of real maps. In: Real and Complex Singularities. Contemp. Math., vol. 354, pp. 95--103. Amer. Math. Soc., Providence (2004)
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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) parabolic Higgs bundles; Hitchin map; spectral curve; Torelli theorem Gómez, T.L.; Logares, M., Torelli theorem for parabolic Higgs bundles, Adv. geom., 11, (2011)
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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) weak Lefschetz property; strong Lefschetz property; almost revlex; hyperplane arrangement; Castelnuovo-Mumford regularity
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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) linear systems; embedding theorem; Cohen-Macaulay curves; pluricanonical maps of surfaces of general type Kollár, J.: Moduli of varieties of general type. In: Farkas, G., Morrison, I. (eds.) Handbook of Moduli: Volume II. Advanced Lectures in Mathematics, vol.~24, pp. 131-158. International Press (2012). arXiv:1008.0621
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