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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. regular three-dimensional bodies; closed grid of congruent faces; complex coordinate values; analytical procedure on higher-dimensional manifolds; turning of bodies; groups of turns; determinants of substitution
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. real regulator; regulator indecomposable; higher Chow group; indecomposable cycle Turkmen I.\ U., Regulator indecomposable cycles on a product of elliptic curves, Canad. Math. Bull. 56 (2013), no. 3, 640-646.
1
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. higher Chow group; Deligne cohomology Chen X. and Lewis J.\ D., The Hodge-\({\mathcal{D}}\)-conjecture for \(K3\) and Abelian surfaces, J. Algebraic Geom. 14 (2005), no. 2, 213-240.
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Angel, PL; Müller-Stach, S, The transcendental part of the regulator map for \({K}_1\) on a mirror family of K3-surfaces, Duke Math. J., 112, 581-598, (2002)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. indecomposable sycles; \(K3\) surfaces and their self-products; regulators; normal functions; elliptic fibrations Chen, X., Doran, C., Kerr, M., Lewis, J.: Normal functions, Picard-Fuchs equations and elliptic fibrations on K3 surfaces. J. Reine Angew. Math (\textbf{to appear})
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Griffiths transversality; isogeny; filtered differential operator; Frobenius structure; crystals; span [9] Bernard Le Stum &aAdolfo Quirós, &Transversal crystals of finite level&#xAnn. Inst. Fourier (Grenoble)47 (1997) no. 1, p. 69Cedram | &MR 14 | &Zbl 0883.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) logarithmic structures; semi-stable reduction; Witt vectors; crystalline cohomology group; Frobenius; monodromy operator; limit Hodge structure Hyodo, Osamu; Kato, Kazuya, Semi-stable reduction and crystalline cohomology with logarithmic poles, Astérisque, 223, 221-268, (1994)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Frobenius algebra; monodromy; Griffiths transversality; mirror symmetry; quantum product; mixed Hodge structure; period map; canonical coordinates; Gromov-Witten invariants; quantum potential; Gromov-Witten potential Cattani E., Fernandez J.: Frobenius modules and Hodge asymptotics. Commun. Math. Phys. 238, 489--504 (2003)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semistable curve; moduli of curves; resolution of singularities; alteration; integral variety; monoidal transformations; semi-stable reduction theorem; multiplicity of intersection for two modules; Monsky-Washnitzer cohomology groups; monodromy actions on étale cohomology Berthelot, P., Altérations de variétés algébriques (d'après A.J. de jong), Séminaire Bourbaki, vol. 1995/96, Astérisque, 241, 273-311, (1997), Exp. No. 815, 5
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) potentially semi-stable representations; filtered \((\varphi,N)\)-modules; Kisin modules Liu, T., Lattices in filtered (\({\phi}\), \textit{N})-modules, J. Inst. Math. Jussieu 2, 11, 3, 659-693, (2012)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) local factors of \(L\)-functions; \(p\)-adic representations; ordinary representations; Galois group of a local field; theory of Fontaine-Laffaille; semi-stable representation; ordinary logarithmic schemes; filtered module; log scheme; modular cusp-form; Hecke operators Mokrane, A.: Quelques remarques sur l'ordinarité. J. Number Theory 73(2), 162--181 (1998)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) modular characters; representation rings; finite groups; localized character theory; Lefschetz-Riemann-Roch theorem; Galois modules; sheaves; semi-stable curves Chinburg, Ted; Erez, Boas; Pappas, Georgios; Taylor, Martin: Localizations of Grothendieck groups and Galois structure, Contemp. math. 224, 47-63 (1999)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) 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
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Frobenius structure; differential operator; free modules of finite rank over the ring of analytic elements in annulus; differential polynomial; generic radius of convergence; Frobenius antecedent Christol, G.; Dwork, B., Modules différentiels sur des couronnes, Ann. Inst. Fourier (Grenoble), 44, 3, 663-701, (1994), MR MR1303881 (96f:12008)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) moduli space; GIT quotient; semi-stability; Hitchin map; quiver representation; decorated sheaf; path algebra; stable representation Schmitt A., Moduli for decorated tuples of sheaves and representation spaces for quivers, Proc. Indian Acad. Sci. Math. Sci., 2005, 115(1), 15--49
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) monodromy; embedded \(\mathbb Q\)-resolution; semi-stable reduction; mixed Hodge structure
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable representations; integral \(p\)-adic Hodge theory; Kisin-modules 10. Liu, Tong A note on lattices in semi-stable representations \textit{Math. Ann.}346 (2010) 117--138 Math Reviews MR2558890
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable reduction; monodromy filtration; vanishing cycles Saito, Takeshi, Weight spectral sequences and independence of \textit{l}, J. inst. math. jussieu, 2, 4, 583-634, (2003)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) abelian varieties; complex multiplication; finite monodromy; semi-stable reduction; Grunwald problem
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) modular representation; Taniyama-Weil conjecture; semi-stable elliptic curves over \(\mathbb{Q}\)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) stable homotopy; nearby cycles functors; monodromy operator; constructibilty Ayoub, Joseph, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique, II, Astérisque, 315, (2007), vi+364 pp. (2008)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Frobenius operator; \(p\)-adic de Rham cohomology; Abelian varieties; monodromy operator Coleman, Robert; Iovita, Adrian, The Frobenius and monodromy operators for curves and abelian varieties, Duke Math. J., 0012-7094, 97, 1, 171\textendash 215 pp., (1999)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Auslander bijections; Auslander-Reiten theory; right factorization lattice; morphisms determined by modules; finite length categories: global directedness; local symmetries; representation type; Brauer-Thrall conjectures; Riedtmann-Zwara degenerations; hammocks; Kronecker quiver; quiver Grassmannians; Auslander varieties; modular lattices; meet semi-lattices \beginbarticle \bauthor\binitsC. M. \bsnmRingel, \batitleThe Auslander bijections: How morphisms are determined by modules, \bjtitleBull. Math. Sci. \bvolume3 (\byear2013), page 409-\blpage484. \endbarticle \endbibitem
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) indecomposability; universal pro-\(\{l\}\) outer monodromy representation; semi-graph of anabelioids; profinite Dehn twist; Grothendieck-Teichmüller group; tripod homomorphism
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-simplicity of the \(U_p\)-operator on modular forms; cusp forms; Hecke operator; crystalline Frobenius elements Coleman, R.; Edixhoven, B., On the semi-simplicity of the \(U_p\)-operator on modular forms, Math. Ann., 310, 1, 119-127, (1998)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) unipotent representation; Jacobian; local class field theory; Tate module; exponent of Artin character; maximal unramified extension; semi-stable reduction; modular curve Krir, M.: Degré d'une extension de \({\mathbb{Q}}_p^{\mathrm nr}\) sur laquelle \(J_0(N)\) est semi-stable. Ann. Inst. Fourier (Grenoble) \textbf{46}(2), 279-291 (1996)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) singularities; families of singularities; Picard-Lefschetz theorems; étale cohomology; monodromy; semi-stable reduction
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Ribet's theorem; Fermat's last theorem; irreducible representation; Shimura-Taniyama-Weil conjecture; semi-stable elliptic curves Prasad, D.: Ribet's theorem: Shimura-Taniyama-Weil implies Fermat. In: Seminar on Fermat's Last Theorem (Toronto, ON, 1993--1994). CMS Conf. Proc., vol. 17, pp. 155--177. Providence, RI: Amer. Math. Soc. 1995
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Galois representation; crystalline representation; filtered modules; \((\varphi,\Gamma)\)-modules; cr-height; Hodge-Tate weights N. WACH, RepreÂsentations cristallines de torsion, Comp. Math., 108, 2, 1997, pp. 185-240.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) completely reducible modules; connected semi-simple algebraic group; parabolic subgroup; representation; external tensor product; vector bundles
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Frobenius morphism; semi-stable bundles Sun, X.: Frobenius morphism and semi-stable bundles, Advanced Studies in Pure Mathematics (2010), vol. 60. Algebraic Geometry in East Asia-Seoul, pp. 161-182 (2008)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable representation; Galois lattice; strongly divisible lattice Breuil, Christophe, Integral \(p\)-adic Hodge theory. Algebraic geometry 2000, Azumino (Hotaka), Adv. Stud. Pure Math. 36, 51-80, (2002), Math. Soc. Japan, Tokyo
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(K3\) surface; Calabi-Yau threefolds; semi-stable reduction; monodromy; Kulikov-Persson-Pinkham theorem
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \((\phi,\tau)\)-module; semi-stable representation; Galois representation; \(E(u)\)-height Caruso, X., Représentations galoisiennes \textit{p}-adiques et (\(######\)modules, Duke Math. J., 162, 13, 2525-2607, (2013)
1
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) gentle algebras; bound quiver algebras; module varieties; moduli spaces of modules; rank sequences; rational invariants; up and down graphs; tame representation type; Schofield semi-invariants Carroll, Andrew T.; Chindris, Calin, On the invariant theory for acyclic gentle algebras, Trans. Amer. Math. Soc., 367, 5, 3481-3508, (2015)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) singularities of mappings; Thom-Mather theory; nice dimensions; right-left equivalence; contact equivalence; stability; versal unfoldings; finite determinacy; vector fields and flows; local conical structure; Thom-Boardman singularities; topological stability; unstable map-germs; unipotent algebraic groups; critical space; discriminants; bifurcation sets; isosingular locus; logarithmic tangent space; logarithmic transversality; stable perturbations; disentanglement of a map; image Milnor numbers; discriminant Milnor numbers; free and almost free divisors; complete intersections; Fitting ideals; conductor ideals; multiple point spaces; knot theory; Reidemeister moves; rank condition; parameterised hypersurfaces; maximal Cohen-Macaulay modules; duality; Gorenstein rings; canonical module; triple points
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) socle and radical of cohomology modules; Loewy series; Frobenius subgroups; semi-simple algebraic group; line bundle; infinitesimally induced representations; modular irreducible characters Lin, Z.: Structure of cohomology of line bundles onG/B for semisimple algebraic groups. J. Algebra134, 225--256 (1990)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(p\)-adic differential equation; differential module; radius of convergence; generic disk; \(p\)-adic exponents; Frobenius structures; \(p\)-adic local monodromy; Picard-Fuchs modules; rigid cohomology \textsc{Kedlaya, K.~S.} {\em {\(p\)}-adic differential equations}, vol.~125 of {\em Cambridge Studies in Advanced Mathematics}. Cambridge University Press, Cambridge, 2010. zbl 1213.12009; MR2663480
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(p\)-adic semi-stable representation; Shafarevich conjecture; Witt vectors; Hodge-Tate weights
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) endotrivial modules; finite group schemes; Frobenius kernels; cohomology; syzygies; lifting module structures; stable liftings; stable module categories; numerical stability; tensor stability; projective modules; simply connected algebraic groups Carlson, Jon F.; Nakano, Daniel K.: Endotrivial modules for finite groups schemes II, Bull. inst. Math. acad. Sin. 7, No. 2, 271-289 (2012)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) crystalline cohomology; representation theory; algebraic groups of Lie type; plane projective curves; Frobenius morphism; filtrations; Weyl modules Haastert, B.; Jantzen, J. C.: Filtrations of the discrete series of \(SL2(q)\) via crystalline cohomology. J. algebra 132, No. 1, 77-103 (1990)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(p\)-adic Hodge theory; log scheme; characteristic \(p\); semi-stable representation of the Galois group
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) vanishing theorems; Frobenius splitting; Schubert varieties; Demazure's character formula; semi-simple algebraic group; flag variety; Weyl group; reductive groups; desingularization; dual Joseph modules; excellent filtration; good filtrations; dual Weyl modules; tensor product; restriction to parabolic subgroups; line bundle; Schubert filtrations Wilberd van der Kallen, Lectures on Frobenius splittings and \?-modules, Published for the Tata Institute of Fundamental Research, Bombay; by Springer-Verlag, Berlin, 1993. Notes by S. P. Inamdar.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semistable scheme, log-syntomic cohomology, local points of motives, Hyodo-Kato cohomology, rings of \(p\)-adic periods, monodromy operator, eigenspaces of Frobenius. Langer, A.: Local points of motives in semistable reduction. Compos. Math. 116, 189--217 (1999)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(p\)-adic differential equations family; Frobenius geometric action; monodromy theorem in rank \(1\); exponent properties (DNL); (NLE); Frobenius geometric structures; monodromy functions; semi-global monodromy theorem
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) parabolic subgroup of reductive group; stability under Frobenius map; characteristic p; semi-stable vector bundle; Harder-Narasimhan filtration V. B. Mehta and A. Ramanathan, Homogeneous bundles in characteristic \?, Algebraic geometry --- open problems (Ravello, 1982) Lecture Notes in Math., vol. 997, Springer, Berlin, 1983, pp. 315 -- 320.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Honda system; filtered modules; \(p\)-group; cristalline \(p\)-adic Galois representation C. \textsc{Breuil}, Groupes \(p\)-divisibles, groupes finis et modules filtrés, \textit{Ann. Math. (2)}, \textbf{152} (2000), 489-549.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) edge transformation; monodromy; vanishing cycles; stable pointed curve; monodromy representation; outer automorphisms of the fundamental group of the general curve M. Asada, M. Matsumoto and T. Oda, Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curves, J. Pure and Applied Alg. 103 (1995), 235--283.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) representations; general linear groups; symmetric groups; infinitesimal Schur algebras; finite representation type; indecomposable modules; polynomial representations; group schemes; Frobenius endomorphisms Doty, S; Nakano, D; Peters, K, Infinitesimal Schur algebras of finite representation type, Quart. J. Math., 48, 323-345, (1997)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable reduction; Swan conductor; monodromy Chrétien, P.; Matignon, M., Maximal wild monodromy in unequal characteristic, J. Number Theory, 133, 1389-1408, (2013)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(p\)-adic Hodge theory; potentially semi-stable representation
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable \(p\)-adic periods; complete discrete valuation ring; Frobenius; logarithmic crystalline cohomology; Hodge-Tate decomposition Kato, K., Semistable reduction and \(p\)-adic étale cohomology. Périodes p-adiques, Séminaire de Bures, 1988, Astérisque 223, 269-293, (1994)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) crystalline cohomology; étale cohomology; \(p\)-adic representation; semi-stable reduction; comparing \(p\)-adic cohomology and de Rham cohomology; syntomic cohomology; semi-stable conjecture; de Rham conjecture Takeshi Tsuji, Semi-stable conjecture of Fontaine-Jannsen: a survey, Astérisque 279 (2002), 323 -- 370. Cohomologies \?-adiques et applications arithmétiques, II.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Dunkl operator; Hecke algebra; monodromy representation P. Etingof and X. Ma, On elliptic Dunkl operators, arXiv:0706.2152v1, 14 Jun. 2007.
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) class-invariant homomorphism; Galois module structure; abelian variety; Néron model; Weil restriction; semi-stable reduction; isogeny; monodromy pairing; Weil biextension Gillibert, Invariants de classes: exemples de non-annulation en dimension supérieure, Math. Ann. 338 pp 475-- (2007)
0
semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) theta divisors; semi-stable vector bundles on curves; ordinary Galois covers; characteristic \(p\); Frobenius morphism; differentials; ordinary representations of fundamental group
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) finite group schemes; modules of constant Jordan type; exact categories; group algebras; Grothendieck groups; categories of finitely generated projective modules; thickenings; stable module categories; Frobenius kernels Jon F. Carlson and Eric M. Friedlander, Exact category of modules of constant Jordan type, Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. I, Progr. Math., vol. 269, Birkhäuser Boston, Inc., Boston, MA, 2009, pp. 267 -- 290.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-simple Lie group; Borel subgroup; simple G-modules; flag manifold; orbit method; Lie algebra; Chern classes; Springer's representation; characteristic classes of holonomic systems; Weyl group representations V. Ginzburg: ''G-Modules, Springer's Representations and Bivariant Chern Classes'', Adv. in Maths., Vol. 61, (1986), pp. 1--48.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) hypergeometric system of equations; monodromy representation; monodromy reducibility; intertwining operator Sadykov, T. M.; Tanabé, S., Maximally reducible monodromy of bivariate hypergeometric systems, Izv. Ross. Akad. Nauk, Ser. Mat., 80, 235-280, (2016)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) (flat) connection; (ir)regular singularity; Riemann-Hilbert and Birkhoff problems; monodromy representation; Stokes sheaf; holonomic module; lattice; integrable deformation; Saito-Frobenius structures C. Sabbah, \textit{Isomonodromic Deformations and Frobenius Manifolds. An Introduction}, Universitext, Springer-Verlag, London, 2007.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) p-adic etale cohomology of varieties over a p-adic field; semi-stable reduction; sheaf of p-adic vanishing cycles; modified differential modules Osamu Hyodo, A note on \?-adic étale cohomology in the semistable reduction case, Invent. Math. 91 (1988), no. 3, 543 -- 557.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) line bundle; representation of semi-stable Picard functor; smooth rigid analytic spaces; discretely valued field
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) finite representation type; maximal Cohen-Macaulay modules; ascent; descent; separable closure Wiegand R.: Local rings of finite Cohen--Macaulay type. J. Algebra 203(1), 156--168 (1998)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) complex projective algebraic variety; cycle; divisor; monodromy representation Gennaro, V; Franco, D, Monodromy of a family of hypersurfaces, Ann. Sci. Éc. Norm. Supér. 4e Série, 42, 517-529, (2009)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Galois representations; semi-stable pseudodeformation rings; Hodge-Tate weights
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) specialization map; stratified bundles; pro-étale fundamental group; semi-stable curves; Tannakian categories
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Archimedean field; Projective modules; Semi-algebraic set; Chern class Bhatwadekar, S. M.; Sane, Sarang: Projective modules over smooth, affine varieties over Archimedean real closed fields, J. pure appl. Algebra 213, 1936-1944 (2009)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Thom-Sebastiani; monodromy representation A. Dimca and A. Némethi, Thom-Sebastiani construction and monodromy of polynomials, Tr. Mat. Inst. Steklova 238 (2002), no. Monodromiya v Zadachakh Algebr. Geom. i Differ. Uravn., 106 -- 123; English transl., Proc. Steklov Inst. Math. 3(238) (2002), 97 -- 114.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable sheaf; Chern classes; jumping lines; moduli space; Barth morphism; Donaldson number J. Le Potier and A. Tikhomirov, Sur le morphisme de Barth, Ann. Sci. École Norm. Sup. (4) 34 (2001), 573--629.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) zeta functions; Picard modular surfaces; \(L\)-functions; automorphic representations; Shimura variety; Tannakian category of motives; Frobenius operator; conjecture of Langlands and Rapoport J. S. Milne, The points on a Shimura variety modulo a prime of good reduction, The Zeta Functions of Picard Modular Surfaces, University Montréal, Montreal (1992), 151-253.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) symmetric quivers of tame type; representations of quivers; rings of semi-invariants; actions of products of classical groups; Coxeter functors; Pfaffians; Schur modules; generic decompositions; bilinear forms
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) elliptic curve; Drinfeld modules over the rational function field; Galois representation; supersingular reductions Poonen, B., Drinfeld modules with no supersingular primes, Int. Math. Res. Not. IMRN, 3, 151-159, (1998)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Castelnuovo surface fiber; semi-stable degenerations; resolution of singularities Ashikaga, T.; Konno, K., Examples of degenerations of Castelnuovo surfaces, J. Math. Soc. Japan, 43, 229-246, (1991)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) local Langlands conjecture; Lefschetz operator; modulo \(\ell\); Lubin-Tate tower; unipotent representation
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) trace of monodromy; geometric Frobenius; finite residue field; Weil group Ochiai, T., \textit{ \textit{l}-independence of the trace of monodromy}, Math. Ann., 315, 321-340, (1999)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) monodromy representation; mixed Hodge structure Ann. Sci. École Norm. Sup. 19 pp 609-- (1986)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) universal algebraic geometry; free modules over Lie algebras; free semimodules over semirings; semi-inner automorphisms; varieties of universal algebras; congruences of finitely generated free algebras; automorphism groups; free Lie modules Katsov, Y.; Lipyanski, R.; Plotkin, B., Automorphisms of categories of free modules, free semimodules, and free Lie modules, Comm. Algebra, 35, 931-952, (2007)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) D-module; Kazhdan-Lusztig conjecture; representation theory of semisimple Lie groups; Hecke algebra; Weyl group; Hodge modules Tanisaki, T.: Representations of semisimple Lie groups and D-modules. Sugaku Exposi- tions 4, 43-61 (1991)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) trivial canonical bundles; degeneration of surfaces; semi-stable degeneration of \(K_ 3\)-surfaces Nishiguchi, Journal of Computational Physics 52 pp 390-- (1983)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(\text{SL}(2,k)\) Weyl modules; global sections; induced line bundles; Frobenius morphisms Reed, M. L.: A geometric approach to the structure of SL(2,k. Comm. algebra 23, 4301-4314 (1995)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) rational 1-form; locally analytic function; abelian variety; \(p\)-adic period; Frobenius operator; \(p\)-adic polylogarithm; Coleman integration; Colmez integration
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Stable bundle; Numerically effectiveness; Monodromy; Riemann surface; Chern class Biswas, I.; Parameswaran, A. J.; Subramanian, S.: Numerically effective line bundles associated to a stable bundle over a curve. Bull. sci. Math 128, 23-29 (2004)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable fibration; p-rank Jang, Junmyeong, Semi-stable fibrations of generic \(p\)-rank 0, Math. Z., 0025-5874, 264, 2, 271-277, (2010)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) representation theory; Lie algebras; vector fields; category \(\mathcal O\); connected reductive algebraic groups; Grassmannians; parabolically induced modules; Hermitian pairs Draisma, J., Representation theory on the open Bruhat cell, J. Symb. Comput., 39, 279-303, (2005)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Hilbert polynomials; moduli space of semi-stable rank 2 vector; Hecke correspondence A. Bertram and A. Szenes, ''Hilbert polynomials of moduli spaces of rank-\(2\). Vector bundles. II,'' Topology, vol. 32, iss. 3, pp. 599-609, 1993.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) connected reductive algebraic groups; orthogonal groups; parabolic subgroups; dense orbits; unipotent radical; Auslander algebras; truncated polynomial algebras; Richardson orbit; filtered modules; numbers of orbits Baur, K; Erdmann, K; Parker, A, {\(\Delta\)}-filtered modules and nilpotent orbits of a parabolic subgroup in \(O\)\_{}\{\(N\)\}, J. Pure Appl. Algebra, 215, 885-901, (2011)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Dwork operator; \(wcfg\)-algebra; Monsky trace; differential module; Frobenius lifting
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) moduli; holonomic \(D\)-module; Simpson's conjecture of moduli for semi-stable \(\Lambda\)-modules; conormal bundles; Lagrangian subset; Riemann-Hilbert correspondence Nitsure, N.: Moduli of regular holonomic D-modules with normal crossing singularities. Duke math. J. 99, 1-39 (1999)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) algorithm; differential operator; Frobenius map; positive characteristic; monomial; elliptic curve Boix, A. F.; De Stefani, A.; Vanzo, D., An algorithm for constructing certain differential operators in positive characteristic, Matematiche (Catania), 70, 1, 239-271, (2015)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Courbes semi-stables; Groupe fondamental; Géométrie algébrique; Conférence; CIRM; Luminy France; fundamental group; semi-stable curves; rigid geometry; formal geometry Courbes semi-stables et groupe fondamental en géométrie algébriqueBasel: Birkhäuser, 2000.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Galois representation; Gauss-Manin connection; cohomology groups of motives; \(p\)-adic valuations of eigenvalues of the Hecke operator; spaces of cusp forms; Fourier coefficients; diamond operators; Newton polygon; Hodge polygon; contact polygon; modular forms 41. Ulmer, Douglas L. On the Fourier coefficients of modular forms. II \textit{Math. Ann.}304 (1996) 363--422 Math Reviews MR1371772
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) Galois representation; motive; abelian variety; Mumford-Tate group; Frobenius automorphism; \(\ell\)-adic étale cohomology; crystalline cohomology
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-stable sheaves; equivariant sheaves; Białynicki-Birula decomposition; torus localization; Betti numbers Choi, J; Maican, M, Torus action on the moduli spaces of plane sheaves of multiplicity four, J Geom Phys, 83, 18-35, (2014)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) semi-simple, simply connected algebraic group; maximal torus; Borel subgroup; sheaf cohomology module; line bundle; dominant character; dual Weyl module; highest weight; socle series; irreducible modules; lattice of submodules DOI: 10.1016/0021-8693(85)90040-7
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) elliptic curves; torsion subgroup; bounds; semi-stable Lozano-Robledo, Á; Lundell, B, Bounds for the torsion of elliptic curves over extensions with bounded ramification, Int. J. Number Theory, 6, 1293-1309, (2010)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(\ell\)-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)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) stable vector bundles on projective curve; monodromy group Ballico E. (2000). Maximal subbundles of rank 2 vector bundles on projective curves. Canad. Math. Bull. 43(2): 129--137
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) 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)
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) algebraic cycle; height; Arakelov degree; effective cycle; semi-stable Chow point; arithmetic variety Jean-Benoît Bost, Semi-stability and heights of cycles, Invent. Math. 118 (1994), no. 2, 223 -- 253.
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semi-stable \(p\)-adic representation; Frobenius operator; monodromy operator; filtered modules; Griffiths transversality Breuil, C., Représentations \textit{p}-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 191-224, (1997) \(D\)-module; \(F\)-crystal; \(p\)-curvature; adjoint operator; rings of differential operators; crystalline cohomology; niveau; Grothendieck-Hartshorne duality; Frobenius-action Berthelot, Pierre, \(\mathcal{D}\)-modules arithmétiques. II. Descente par Frobenius, Mém. Soc. Math. Fr. (N.S.), 81, vi+136 pp., (2000)
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