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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements reflection groups; unitary reflections; line systems; invariant theory; Shephard-Todd classification; groups of transformations G.I. Lehrer and D.E. Taylor, \textit{Unitary reflection groups}, \textit{Austral. Math. Soc. Lec...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of linear algebraic group; three-dimensional invariant submanifold; space of binary forms
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements union of skew lines; postulation; minimal free resolution of the homogeneous ideal Monica Idà, On the homogeneous ideal of the generic union of lines in \?³, J. Reine Angew. Math. 403 (1990), 67 -- 153.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements germ of functions; perverse complex of vanishing cycles; local system on the complement of an irreducible plane curve; local fundamental group L. Narvàez Macarro , Un calcul de cycles évanescents par rapport aux courbes plan...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cremona, Luigi; Magnus, L. J.; birational transformation; Cremona transformations; quadratic transformations
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectra...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements transformations in classical geometries; dynamical types; centralizer-conjugacy classes; automorphism groups of geometries; fibration theorem; orbit class; group actions Craven D~A, The theory of \(p\)-groups, http://web.mat...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cyclic cohomology of certain affine schemes; projective resolution Masuda, T., Natsume, T.: Cyclic cohomology of certain affine schemes. Publ. RIMS21, 1261--1279 (1985)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements sheaves on projective spaces; Castelnuovo-Mumford regularity; regularity of tensor products; linear monad; cohomology table; Eisenbud-Schreyer theory Eisenbud, D.; Schreyer, F.-O., \textit{the banks of the cohomology river},...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements formal group; Novikov-Landweber algebra; symbol algebra; ring of rationally symplectic cobordisms; non-Stongian elements; self-conjugate manifold
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements coherent system; moduli of vector bundles; algebraic curves; Brill-Noether loci Bradlow S.B., García-Prada O., Mercat V., Muñoz V., Newstead P.E., On the geometry of moduli spaces of coherent systems on algebraic curve
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; polynomials Abhyankar, S.S.: Polynomial Expansion. Proceedings of the American Mathematical Society, vol. 126, pp. 1583--1596 (1998)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements root system; algebraic reductive group; Chow ring; homology of Lie group
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements p-rank of ideal class group of quadratic field; non-cyclic class group; geometric interpretation
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Computational number theory; algorithms; computer algebra systems; power series; solution of linear differential equations; monodromy groups; continued fraction expansion; computations with abelian varieties; SCRATCHPAD II; ...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert-Samuel function; resolution of singularities; rational singularity; Cohen-Macaulay ring
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements effective lower bounds; linear forms in logarithms of algebraic numbers; analytic subgroup theorem; algebraic groups; isogenies of abelian varieties; Tate's conjecture; semisimplicity of the Tate module; Arakelov theory
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Inflection point; Linear system; Divisor; Curve; Invertible sheaf Coppens M.: Generalized inflection points of very general line bundles on smooth curves. Ann. Mat. Pura Appl. 187(4), 605--609 (2008)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements flag variety; resolution of singularities; intersection homology; Weyl group representations Walter Borho and Robert MacPherson, Partial resolutions of nilpotent varieties, Analysis and topology on singular spaces, II, III (...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fundamental domain; isomorphism classes; integral quadratic forms; reflections; classification of algebraic surfaces of type K3; lattices of compact type; lattices of non-compact type; arithmetic triangle groups Nikulin, V.V...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements foliation; resolution of singularities Da Silva, A. Belotto: Local resolution of singularities in foliated spaces. Rev. R. Acad. cienc. Exactas fís. Nat. ser. A math. RACSAM 110, 841-862 (2016)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements surface singularities; \({bbfC}^ *\)-action; regular system of weights; quotient varieties; polyhedral groups; Heisenberg groups; Fuchsian groups K. Saito, Regular system of weights and their associated singularities, in Com...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements curve on projective K3 surface; Clifford index; linear system; Clifford- type inequality; vector bundles on a regular surface Green, ML; Lazarsfeld, R, Special divisors on curves on a \(K3\) surface, Invent. Math., 89, 357-3...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Dirichlet series; meromorphic continuation; integral representation; resolution of singularities; semi-algebraic set Essouabri, D., Singularités des séries de Dirichlet associées à des polynômes de plusieurs variables et app...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic family of divisors on a curve of genus g; Castelnuovo-Severi inequality; finite characteristic; linear series; equivalence defect; theta-divisor on the Jacobian variety Kani E.: Castelnuovo's equivalence defect. J....
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements tropical curve; linear system; Clifford's inequality; hyperelliptic curve L. Facchini, On tropical Clifford's theorem. \textit{Ric. Mat}. \textbf{59} (2010), 343-349. MR2738662 (2011h:14090) Zbl 1246.14080
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; positive characteristic; Rees algebras; differential operators A. Bravo and O. Villamayor, Singularities in positive characteristic, stratification and simplification of the singular locus. Adv. ...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; Jacobian cycle; Chern class
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Laplace operator; supersymmetric theory; Birchnall-Chaundy-Krichever theory; ring of linear differential operators in one variable
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements logarithmic connection; flat structure; ring of invariant \(\theta\)-functions; extended affine root system; Coxeter element A. Iqbal and C. Kozcaz, \textit{Refined Topological Strings and Toric Calabi-Yau Threefolds}, arXiv...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements combinatorial manifold; combinatorial pseudomanifold; intersection form; \(K3\) surface; Kummer variety; resolution of singularities; simplicial Hopf map J. Spreer, \textit{Blowups, slicings and permutation groups in combina...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements exterior differential systems; variation of Hodge structure; Noether-Lefschetz locus; period domain; integral manifold; Hodge conjecture; Pfaffian system; Chern classes; characteristic cohomology; Cartan-Kähler theorem Carls...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements differential system; Goursat flag; \(m\)-flag of length \(k\); rank 1 prolongation K. Shibuya and K. Yamaguchi, Drapeau theorem for differential systems, Differential Geometry and its Applications 27 (2009), 793--808.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quotient of a linear space; quotient singularity
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements topological classification of real algebraic sets; resolution of singularities; Nash conjecture; resolution towers S. \textsc{Akbulut}\textsc{and} H. \textsc{King}, Topology of Real Algebraic Sets, Mathematical Sciences Rese...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert modules; Shilov resolution; homological algebra; locally free module; spectrum; tensor product of modules; quasisimilar modules; local invariants; essentially reducible module Douglas R. Invariants for Hilbert Module...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements moduli of curves; linear series; degenerations
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements sum of powers of linear forms; Waring's problem for algebraic forms Chipalkatti, J.: The Waring loci of ternary quartics. Exp. math. 13, No. 1, 93-101 (2004)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equisingular family of quasi-ordinary singularities; Whitney stratification; characteristic monomials C. Ban, A Whitney stratification and equisingular family of quasi-ordinary singularities , Proc. Amer. Math. Soc. 117 (199...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; birational correspondence Abhyankar, S.: Algebraic geometry for scientists and engineers, mathematical surveys and monographs, vol. 35. American Mathematical Society, Providence, RI (1990)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cartan geometry; parabolic geometry; Bernstein-Gelfand-Gelfand resolution; projective metrizability; sub-Riemannian metrizability; overdetermined linear PDE; Weyl connections
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Goldie condition; Gelfand-Kirillov dimensions; rational actions; linear algebraic groups; induced actions; spectrum of rational ideals; primitive ideals; orbits; semiprime ideals N. Vonessen, Actions of algebraic groups on t...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements explicit computations of Chow rings; regular quadratic forms; product formula; quadrics Shapiro, D.B.; Szyjewski, M., Product formulas for quadratic forms, Bol. soc. mat. mexicana, 37, 463-474, (1992)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements components of solutions; embedding; generic points; homotopy continuation; irreducible numerical algebraic geometry; polynomial system DOI: 10.1016/j.jco.2004.09.007
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements generic pairs; central simple algebras; elements of trace zero M. Rosset and S. Rosset, ''Elements of Trace Zero in Central Simple Algebras,'' in Rings, Extensions, and Cohomology, Ed. by A. R. Magid (Evanston, IL, 1993); Le...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements analytic local ring; resolution of singularities Cutkosky S.D., Duke Math. J 57 pp 175-- (1988)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements special values of real analytic Eisenstein series; imaginary quadratic field; elliptic curve; p-adic divisibility properties of algebraic numbers; supersingular reduction; p-adic L-function Fujiwara Y. (1988). On divisibilit...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear series of algebraic curve; divisors; generic Torelli G.P. Pirola, M. Teixidor i Bigas, Generic Torelli for \(\(W^r_d\)\). Math. Z. 209(1), 53-54 (1992)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Higgs bundle; system of Hodge bundles; semistable bundle
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements modular parametrizations of elliptic curves; Manin constant; isogeny class; minimal Parshin-Faltings height; Stickelberger elements; Antwerp tables Stevens, G.: Stickelberger elements and modular parametrizations of elliptic...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements minimal free resolution; cotangent vector bundle; elementary transformations
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements topology of singular spaces; local Morse data; Lefschetz theorems; bounds on the homotopy dimension; intersection homology; topology of complements of unions of linear subspaces; relative Morse theory Goresky M and MacPherso...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements transversal system of parameters; noetherian local ring; Hilbert functions; multiplicities; tangential flatness; blowing-up; flat family Orbanz U., Transversal parameters and tangential flatness
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano threefold; Fano variety; anticanonical linear system; line bundle; ampleness; very ampleness; spannedness; higher order embeddings Mauro C. Beltrametti, Sandra Di Rocco, and Andrew J. Sommese, On higher order embeddings...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of the singularities of a Schubert cycle; Grassmannian; strict transforms of the Schubert cycles Boudhraa, Z.: Resolution of singularities of Schubert cycles. J. pure appl. Algebra 90, No. 2, 105-113 (1993)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lef...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements infinitesimally faithful representations; reductive complex connected algebraic groups; Lie algebras; representation spaces; fields of rational functions; Cayley transforms; coordinate rings; regular orbits; varieties of uni...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements actions of linear algebraic groups; quotients; geometric invariant theory
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; analytic spaces; sheaves of ideals Włodarczyk, J., Resolution of singularities of analytic spaces, (Proceedings of Gökova geometry-topology conference 2008, Gökova Geometry/Topology Conference (G...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements system of plane curves
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements étale local system; Chern-Simons invariant; regulator; volume of representation
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Point coordinates; line coordinates; Plücker system; Casorati's coordinates; dual coordinates
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements integer factorization; Dirichlet characters; smooth numbers; discrete logarithm problem for composite numbers; least character non-residue; quadratic twist of elliptic curve; large sieve
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Clifford index; Clifford index of a curve; linear series
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polynomial endomorphism; zeros of a polynomial map; real-closed field; quadratic form
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equianalytic families of curves; equisingular families of curves Lossen , C. ( 1998 ) . The geometry of equisingular and equianalytic families of curves on a surface . Ph.D. thesis, FB Mathematik, Universität Kaiserslautern....
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic forms; intersection; sums of two squares; circle method; asymptotic; Kloosterman refinement
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements function fields; finite fields; hyperelliptic curves; lower bounds for moments; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Andrade, J. C.: Rudnick and soundararajan's theorem for fu...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real algebraic sets; topological resolution of singularities; blowing- downs; P. L. manifolds; topological resolution tower Selman Akbulut and Henry King, The topology of real algebraic sets, Knots, braids and singularities ...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements simple linear algebraic group; 2-regular unipotents; variety of Borel subgroups; simple roots; irreducible components; Springer representation; Weyl group
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multiplicative structure; skew fields over number fields; Hasse; norm principle; algebraic group; group of rational points; quadratic forms; Skolem-Noether theorem; algebra of quaternions; class field theory; direct subgroup...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements group action; \(K\)-theory; derived category; quotient variety; resolution of singularity; motivic integration; McKay correspondence; Hilbert schemes of \(G\)-orbits; crepant resolution; discrepancy divisor; Klein quotient s...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Principle of assignment; algebraic forms; relation of conjugation; binary forms; theorems; odd degree; power of linear factors; curves of \(n^th\) order; connection lines; researches
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements projective transformations; geometric transformations; derivations; inversion; conic transformation; quadratic transformation; quadric inversion; Schiaparelli; Hirst; Cremona
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements connected reductive linear algebraic groups; maximal tori; Borel subgroups; Weyl groups; numbers of connected components; Euler characteristic; compactly supported cohomology Rietsch, K.: Intersections of Bruhat cells in rea...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements monodromy; hypersurface singularity; germ of a holomorphic function; zeta function; Euler characteristic; Milnor fiber; resolution of singularities Deligne, P.: Théorie de Hodge. III, Inst. Hautes Études Sci. Publ. Math., vo...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semisimple Lie algebras; conjugacy of embeddings; invariants of sets of elements in Lie algebras I.V. Losev, On invariants of a set of elements of a semisimple Lie algebra, submitted to J. Lie Theory.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements elliptic curve of rank 12; isogeny; canonical height; independent points; class group; Selmer groups; imaginary quadratic fields of 3-rank 6 Jordi Quer, Corps quadratiques de 3-rang 6 et courbes elliptiques de rang 12, C. R....
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Selmer groups; quadratic twists of elliptic curves
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of linear algebraic group; homogeneous hypersurface Akhiezer, D.: Algebraic groups transitive in the complement of a homogeneous hypersurface. Trans. Moscow math. Soc. 48, 83-103 (1986)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic fields; special values of \(L\)-functions; modular forms Villegas, Fernando Rodriguez and Zagier, Don, Square roots of central values of {H}ecke {\(L\)}-series, Advances in Number Theory ({K}ingston, {ON}, 1991), O...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements plane curves; rigid curves; equisingular families of curves Kulikov, Vi.k S.; Shustin, E., On rigid plane curves, Eur. J. Math., 2, 208-226, (2016)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements integrable system; separation of variables; Bäcklund transformation; arithmetic of divisors Tsiganov, A. V., Bäcklund transformations and divisor doubling, J. Geom. Phys., 126, 148-158, (2018)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(q\)-Painlevé system of type \(E^{(1)}_7\); \(q\)-Garnier system; Padé method; \(q\)-hypergeometric function
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements maximal Cohen-Macaulay modules; deformations; system of parameters Pfister G., Math. Z 223 pp 309-- (1996)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements eta-quotients; binary quadratic forms; theta series; multiplicative functions; Hecke operators; dissections of \(q\)-series Berkovich, A.; Patane, F., Binary quadratic forms and Fourier coefficients of certain weight 1 eta-q...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of hypersurface singularities; Maple V; algorithm Gábor Bodnár and Josef Schicho, A computer program for the resolution of singularities, Resolution of singularities (Obergurgl, 1997) Progr. Math., vol. 181, Birkh...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements simplest cubic field; quadratic twists; elliptic curve; 2-rank; ideal class group; groups of rational points Byeon, Dongho, Quadratic twists of elliptic curves associated to the simplest cubic fields, Proc. Japan Acad. Ser. ...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Brieskorn singularities; resolution diagrams of singularities of type (2,q,r); network induction
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements plane curve singularities; equisingularity; proper transform; exceptional curves; resolution of singular points; blow-up; topological equivalence; analytic equivalence Chunghyuk Kang, Topological classification of irreducibl...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements spark of a matrix; generic determinantal variety; affine algebraic set; irreducible component; dimension; linear capacity SPARK (2014). http://www.spark-2014.org
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert's fourteenth problem; algebra of subfinite type; graded linear series; Newton-Okounkov bodies
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic curve; algebraic points of small degree; Mordell-Weil group; linear systems
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements pencil of plane sextics; del Pezzo quintic surface; Cremona transformations van der Geer, G., Howe, E., Lauter, K., Ritzenthaler, C.: Table of curves with many points. http://www.manypoints.org
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements convex algebraic geometry; sums of squares; Pythagoras number; linear syzygies
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic variety; fibration; geometric genus; multiplicity of linear series on surface
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Skolem problems; finite extension ring of algebraic integers; existence of a solution of a system of diophantine equations L. \textsc{Moret-Bailly}, Groupes de Picard et problèmes de Skolem. I, II, \textit{Ann. Sci. Éc. Norm...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements nonhomogeneous quadratic relations; conilpotent coalgebras; Koszul duality; t-structures of derived type; Massey products; quasi-formality; formality; noncommutative homotopy theory; Galois groups; Galois cohomology
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements log structure; Chevalley-Shephard-Todd; toric stack; stacky fan; resolution of singuarities Matthew Satriano, Canonical Artin stacks over log smooth schemes, Math. Z. 274 (2013), no. 3-4, 779 -- 804.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of determinantal ideals; characteristic of the base field Roberts, J.; Weyman, J.: A short proof of a theorem of M. Hashimoto. J. algebra 134, No. 1, 144-156 (1990)
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