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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) hypersurfaces with isolated singularities; Tjurina number; symmetric hypersurfaces; unipotent group
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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) paraboloid; hypersurface; nondegenerate curve; hyperbolic Schrödinger equation; Strichartz estimate; Vinogradov's mean value theorem J. Bourgain and C. Demeter, \( \ell ^p\) decouplings for hypersurfaces with nonzero Gaussian curvature, arXiv:14070291.
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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) complete ideals; regular local ring; sandwich singularity; cluster
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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) symmetric group; configuration space; hyperplane arrangement Moseley, D.; Proudfoot, N.; Young, B., The Orlik-Terao algebra and the cohomology of configuration space, Exp. Math., 26, 373, (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) Tannaka-Krein theorem; nonabelian cohomology; Tannakian category; motives; conjectures on algebraic cycles; torsor; bitorsor cocycle; stack; neutral Tannakian categories; algebraic group scheme; bitorsor; gerbe L. BREEN, Tannakian categories, in: Motives, Proc. Symposia pure Math., 55 (I), AMS (1994), pp. 337-376. Zbl0810.18008 MR1265536
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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) compact Kähler manifolds; uniformisation theorem; Riemannian surface; nef tangent bundle Peternell, T.: Manifolds of Semi-positive Curvature. LNM 1646, 98--142 (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) Riemann-Roch theorem; higher \(K\)-groups Köck B.: Riemann--Roch for tensor powers. Math. Z. 233(4), 755--801 (2000)
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; splice-quotient singularity; rational homology sphere; splice type singularity; universal abelian cover Okuma, Another proof of the end curve theorem for normal surface singularities, J. Math. Soc. Japan 62 pp 1-- (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) Helly's theorem; convexity; Grassmannians; Cremona transformations 23.J.E. Goodman, A.~Holmsen, R.~Pollack, K.~Ranestad, F.~Sottile, Cremona convexity, frame convexity, and a theorem of Santaló. Adv. Geom. 6, 301-322 (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) hyperplane arrangement; Möbius function; characteristic polynomial; Tits algebra; characteristic element; intrinsic volumes
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) bibliography; Hilbert's basis theorem; dictionary: commutative algebra-projective algebraic geometry; Hilbert's syzygy theorem; Hilbert's Nullstellensatz; Hilbert polynomials; dimension theory; Dedekind domains; Hilbert-Samuel functions; elimination theory; computer algebra; modules of differentials; homological methods; Koszul complex; Cohen-Macaulay property; duality theory; linkage Eisenbud D, \textit{Commutative Algebra: With a View Toward Algebraic Geometry}, 150, Springer New York, 1995.
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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) henselian ring; Néron desingularization; Artin approximation property; excellent ring; singularity of the localization; formal power series ring Rotthaus, C., Rings with approximation property, Math. Ann., 287, 455-466, (1990), MR 1060686 (91f:13025)
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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 theorem; Chow ring; decomposition of the small diagonal --------, Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces, Geom. Topol. 16 (2012), 433--473.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) homotopy theory; o-minimal expansions of fields; homotopy groups; Hurewicz theorem; Whitehead theorem Baro, E.; Otero, M.: On o-minimal homotopy groups, Quart. J. Math. 61, 275-289 (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) rational algebraic \(K\)-theory groups; rational motivic cohomology groups; Segre map; morphic cohomology groups; Riemann-Roch theorem; Chern character; topological filtration Eric M. Friedlander and Mark E. Walker, Rational isomorphisms between \?-theories and cohomology theories, Invent. Math. 154 (2003), no. 1, 1 -- 61.
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 singularity; trace ideal; invariant ring; nearly Gorenstein
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) excess dimension; intersection theory; Bézout's theorem , Excess intersections in projective space, In: Topics in Algebra, Banach Center Publications, Volume 26, Part 2, 109-124, PWN Polish Scientific Publishers, Warsaw 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) characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) moduli space of curves; Chow ring; moduli space of stable curves; intersection product; Riemann-Roch theorem Mumford, D.: Towards an Enumerative Geometry of the Moduli Space of Curves, Arithmetic and Geometry, Vol. II, Progress in Mathematics, vol.~36, pp.~271-328. Birkhäuser Boston, Boston (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) nonnoetherian ring; nonnoetherian geometry; dimer algebra; Calabi-Yau 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) cusp singularity; quadratic cone; reflection
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 at infinity; affine hypersurface; complex hypersurfaces; topology of fiber; connectivity; monodromy at infinity; \(\chi_ y\)- characteristic; signature Libgober, A.: Topological invariants of affine hypersurfaces: connectivity, ends, and signature. Duke math. J. 70, No. 1, 207-227 (1993)
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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) irreducible curve singularity; coarse moduli spaces; Grassmannians Greuel, G.-M., Pfister, G.: Moduli spaces for torsion free modules on curve singularities I. J. of Algebraic Geometry2, 81--135 (1993)
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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) fundamental homology class of an algebraic cycle; isolated singularities; middle intersection homology
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) equidistribution theorem; Neron-Tate height; generalized Bogomelov conjecture Zhang, S., \textit{equidistribution of small points on abelian varieties}, Ann. of Math. (2), 147, 159-165, (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) Chevalley-Shephard-Todd theorem; pseudoreflection; linearly reductive group; tame stacks Satriano, M, The Chevalley-shephard-Todd theorem for finite linearly reductive group schemes, Algebra Number Theory, 6-1, 1-26, (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) Steenrod operations; Riemann-Roch theorem; Chow groups O. Haution, Reduced Steenrod operations and resolution of singularities, J. K-Theory 9 (2012), no. 2, 269-290.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) compactified Jacobian; decomposition of Picard variety; unibranch singularity; Gorenstein curves
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 cohomology; Weil cohomology; liftable varieties; Weil conjectures; Lefschetz theorem; Lefschetz duality 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) Vojta's conjecture; Griffiths' conjecture; rational surfaces; subspace theorem; \(abc\) conjecture; Farey sequences
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-Riemann-Roch theorem; algebraic schemes; algebraic \({\mathbb{C}}\)-schemes [F-G]W. Fulton, H. Gillet: ``Riemann Roch for general Algebraic Varieties{'', Bull. Soc. Math. France 111 (1983) pp. 287--300.}
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 family; function field; Kodaira surface; Teichmüller space; Diophantine equation; Riemann surfaces; holomorphic 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) period map; polarized mixed Hodge structure; 1-motive; generic Torelli theorem; Prym 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) Gröbner basis; integral section; Mordell-Weil lattice; deformation of singularities T. Shioda, Gröbner basis, Mordell-Weil lattices and deformation of singularities. I, Proc. Japan Acad. Ser. A Math. Sci. 86 (2010), no. 1, 21-26.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) differential function fields; differential field; movable singularity; abelian function; differential Galois extension; ADE; algebraic differential 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) Reider theorem; smooth toric surface; adjoint line bundle; lattice polygon; Pick theorem; Fujita's conjecture
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 singularity; Lipman semigroup; Hilbert basis of a semigroup; toric variety; intersection 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) rational points; integral points; height functions; Mordell-Weil theorem; Mordell's conjecture; lifting rational points; Hilbert's irreducibility theorem; class number one problem Serre, J.P.; ; Lectures on the Mordell-Weil Theorem: Braunschweig, Germany 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) Dwork family; monodromy; thin groups; ping-pong theorem C. Brav and H. Thomas, Thin monodromy in \(\mathrm{Sp} _{4}\) , to appear in Compos. Math., preprint, [math.AG]. 1210.0523v1
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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) quiver; Fano variety; Gorenstein singularity DOI: 10.1007/s00229-009-0255-6
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Hecke operator; modular curve; Kummer 1-motive; Eisenstein section; Anderson extension; Anderson 1-motive; modular units; divisor class group; generalized Anderson extension C. BRINKMANN , Die Andersonextension und 1-Motive , Bonner Mathematische Schriften. 223. Bonn : Univ. Bonn, Math.-Naturwiss. Fak. ( 1991 ). MR 94a:11087 | Zbl 0749.14001
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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) closedness theorem; descent property for blowups; curve selection; Łojasiewicz inequality; hereditarily rational functions; regulous functions and sets; Nullstellensatz; Cartan's theorems A and B
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-Roch theorem; algebraic function fields
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) affine hypersurface; Hochschild homology group; Jacobian ideal; isolated hypersurface singularities Ruth I. Michler, Isolated singularities with large Hochschild homology, Singularities in algebraic and analytic geometry (San Antonio, TX, 1999) Contemp. Math., vol. 266, Amer. Math. Soc., Providence, RI, 2000, pp. 171 -- 180.
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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) points on complete intersection of two curves; Cayley-Bacharach 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) minimal models of real algebraic threefolds; terminal singularity; topology of singularities Kollár, János, Real algebraic threefolds. I. Terminal singularities, Collect. Math., 49, 2-3, 335-360, (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) weighted projective line; (extended) canonical algebra; simple singularity; Arnold's strange duality; stable category of vector bundles Lenzing, H., Rings of singularities, Bull. Iranian Math. Soc., 37, 2, 235-271, (2011)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) homotopy type; Lefschetz theorem; classical Morse theory Hamm, H.A., L? D.T.: Local generalizations of Lefschetz-Zariski theorems. J. Reine Angew. Math.389, 157-189 (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) theta series; Jacobi forms; elliptic modular surface; Kodaira-Vanishing- Theorem; Riemann-Roch-Theorem; explicit formula; dimension; space of Jacobi cusp forms Kramer J.: A geometrical approach to the theory of Jacobi forms. Compos. Math. 79, 1--19 (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) normalized volume; klt singularity; local fundamental 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) \(\ell\)-adic representation; semistable Galois representations; local monodromy theorem; Gauss-Manin connection; relative de Rham complex with logarithmic poles Luc, Illusie, Autour du théorème de monodromie locale, Astérisque, 223, 9-57, (1994), Périodes \textit{p}-adiques (Bures-sur-Yvette, 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) group of birational automorphisms; Fano variety; maximal singularity A. V. Pukhlikov, ``Maximal singularities on the Fano variety \(V^3_6\)'', Moscow Univ. Math. Bull., 44:2 (1989), 70 -- 75
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) smooth cohomology; Stein manifold; Hodge-type theorem; vanishing theorem; index theorem; residues of meromorphic n-forms; supersymmetric quantum mechanics; \(L^ 2\)-cohomology; \({\bar \partial }\)-operator; spaces of harmonic forms Sławomir Klimek and Andrzej Lesniewski, Local rings of singularities and \?=2 supersymmetric quantum mechanics, Comm. Math. Phys. 136 (1991), no. 2, 327 -- 344.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Grauert's theorem; subanalytic sets; Stein open sets
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) generators of the group of birational automorphisms of a three- dimensional cubic; maximal 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) Veselov-Novikov equation; Prym varieties; Torelli theorem; finite gap solutions I. A. TaĭManov, Prym varieties of branched coverings and nonlinear equations , Math. USSR-Sb. 70 (1991), 367--384.
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; flag variety; line bundle; vanishing theorem Andersen, Henning Haahr: Cohomology of line bundles, Algebraic groups and homogeneous spaces, 13-36 (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) weakly normal algebraic varieties; linear systems; birational morphism; Bertini'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) algebraic function fields; domain of regularity; Hilbert's irreducibility 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) Bezout theorem; affine plane; compactification; semidegrees; intersection 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) étale cohomology; localization theorem; arithmetic topology B. Morin, Utilisation d'une cohomologie étale équivariante en topologie arithmétique, Compositio Math. 144 (2008), 32-60.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Schottky-Jung proportionality theorem; theta functions; Mumford curves Broise, Annales de I'lnstitut Fourier 39 pp 1-- (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) semipositivity; nefness; vanishing theorem; injectivity theorem; canonical ring; pluricanonical divisor Fujino, Osamu, On semipositivity, injectivity, and vanishing theoremshodge theory and {\(L^2\)}-analysis, Adv. Lect. Math., 39, 245-282, (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) fundamental group; singular (quasi-projective) variety; pencil of hyperplane sections; relative loop; relative monodromy variation
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) finite field; family of varieties; monodromy; quadratic excess; genus-\(g\)-curves; degree-\(d\) hypersurfaces; geometric monodromy group; Frobenius-Schur indicator; family of higher-dimensional varieties; Deligne equidistribution theorem Katz, N.: Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Finite Fields Appl. \textbf{7}(1), 45-69 (2001). (Dedicated to Professor Chao Ko on the occasion of his 90th birthday)
0
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; Abel'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) Dolbeault operator; \(L^2\)-theory; singular complex curves; 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) moduli spaces; principally polarized abelian varieties; Satake compactification; locally symmetric spaces; intersection cohomology; decomposition theorem; link bundles
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) basic open semi-algebraic sets; effective version of Łojasiewicz inequality; prenex formula; effective version of the finiteness 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) \(L^2\) index theorem; Nadel's vanishing theorem; adjoint bundle; adjoint linear systems; coherent sheaves; Shafarevich map; fundamental group DOI: 10.5802/aif.1670
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 singularity; equiclassical locus; EC; plane curve Diaz, S, Irreducibility of the equiclassical locus, J. Differential Geom., 29, 489-498, (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) Hilbert function of a generic plane section of a reduced irreducible curve; uniform position; arithmetically Cohen-Macaulay curve; space curve Maggioni, R.; Ragusa, A., The Hilbert function of generic plane sections of curves of \(\mathbf{P}^3\), Invent. Math., 91, 2, 253-258, (1988)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Kähler differentials; complexity; extension theorem of Efroymson
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Fano-Mori fibre space; Fano variety; maximal singularity; birational map; 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) plane curve singularity; Jacobian Newton diagram; polar invariant; discriminant; non-degeneracy García Barroso E. R., Gwoździewicz J. and Lenarcik A., Non-degeneracy of the discriminant, Acta Math. Hungar. 147 (2015), no. 1, 220-246.
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 bundle; moduli space; parabolic Deligne-Hitchin; parabolic Higgs bundle; 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) character sums; \(L\)-functions and zeta functions; Newton polygons; Chevalley-Warning theorem Blache, Régis: P-density, exponential sums and Artin-Schreier curves
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) left homogeneous spaces; connected linear algebraic groups; mean value theorem; adèle spaces; uniform and special homogeneous spaces; Tamagawa numbers; Levi-Chevalley decompositions; fundamental groups; Galois cohomology M. Morishita, A mean value theorem in adele geometry, Algebraic number theory and Fermat's problem, Sūrikaisekikenkyūsho Kkyōroku, 1, (1995)
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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) branched covering; ramification degrees; Hilbert's irreducibility theorem Beckmann, S., On extensions of number fields obtained by specializing branched coverings, Journal für die reine und angewandte Mathematik, 419, 27-53, (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) surface singularity; double point; resolution of singularity; fundamental cycle; fiber cycle A. Calabri - R. Ferraro, Explicit resolutions of double point singularities of surfaces, Collect. Math. 53 (2002), 99--131.
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; local system; vanishing theorem cho K. Cho, A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system. Nagoya Math. J. \textbf 147 (1997), 63-69.
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 hypersurface singularity; normal surface 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) \(p\)-adic cohomology; crystalline cohomology; differential operators; vanishing theorem [H] C. Huyghe: Thèse, Université de RennesI (1995)
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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) equations over finite fields; elliptic curves; diophantine equations in two variables; quadratic residues; large sieve; Mordell's theorem; Riemann Roch theorem; rational points; integral points; Thue equation; superelliptic equations; nonstandard arithmetic; Hilbert's tenth problem Stepanov, SA: Arithmetic of Algebraic Curves Translated from the Russian by Irene Aleksanova. Monographs in Contemporary Mathematics. Consultants Bureau, New York (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) abelian variety; global section of line bundle G. R. Kempf, Multiplication over abelian varieties , Amer. J. Math. 110 (1988), no. 4, 765-773. JSTOR:
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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) integral geometry; generalized Borel-Weil theorem; integral transform; Radon transform; twistor transform; intertwining operators
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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) Cremona's theorem; Cayley's curve; Hesse's curve; conics; equianharmonic; elliptic functions
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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) second order derivative; differential uniformity; generic polynomials; density theorem; differential cryptanalysis; second order differential uniformity; inversion mapping
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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) KP hierarchy; Jacobians; Riemann vanishing theorem; Schur-Weierstrass polynomials Bukhshtaber, VM; Ènol'skiĭ, VZ; Leĭkin, DV, Rational analogues of Abelian functions, Funct. Anal. Appl., 33, 83-94, (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) normal surface singularity; sandwiched singularity; complete ideal; Enriques diagram; equisingularity Alberich-Carramiñana, M.; Fernández-Sánchez, J.: Equisingularity classes of birational projections of normal singularities to a plane, Adv. math. 216, 753-770 (2007)
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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) quasi-ordinary singularity; limits of tangents
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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) automatic deduction in geometry; automatic geometry theorem proving; Gröbner basis; zero divisor; true on parts; false on parts; true on components; dynamic geometry
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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) cone theorem; rationality theorem; minimal model program
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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) algebraicity of holomorphic mapping; number of holomorphic mappings; de Franchis theorem Langmann, K.: Algebraizit?tskriterien f?r holomorphe Abbildungen zwischen algebraischen R?umen. J. Reine Angew. Math.364, 177-192 (1986)
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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 irreducibility theorem; Hilbert property; Chevalley-Weil theorem; Enriques surface; weak approximation Corvaja, Pietro; Zannier, Umberto, On the Hilbert property and the fundamental group of algebraic varieties, Math. Z., 286, 1-2, 579-602, (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) planar dynamical systems; P-curves; polynomial systems of ordinary differential equations; Bezout theorem Khovanskii, A.: Cycles of dynamical systems in the plane and rolle's theorem. Siberian math. J. 25, 502-506 (1984)
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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) irreducible representations; semisimple compact Lie group; Borel-Weil- Bott theorem; holomorphic sections; Atiyah-Bott-Lefschetz formula; homogeneous space; coadjoint action; Loop groups; H. Weyl; induced representations; Weyl character 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) degenerations of surfaces of general type; number of singularities; number of components; index of singularity Lee, Y., Numerical bounds for degenerations of surfaces of general type, International Journal of Mathematics, 10, 79-92, (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) anabelian geometry; valuations; section conjecture
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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) special Lagrangian submanifold; singularity; nonlinear Cauchy-Riemann equation; Dirichlet problem Joyce, D.: \(U(1)\)-invariant special Lagrangian 3-folds. II. existence of singular solutions. Adv. math. 192, 72-134 (2005)
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