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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Whitney stratification; real algebraic variety; complexity of the algorithm N. Vorobjov.Effective Stratification of Regular Real Algebraic Varieties. Lecture Notes in Mathematics, Vol. 1524. Springer-Verlag, Berlin, pp. 402--415, 1992.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cohomology ring of moduli space; degree; compact Riemann surface; genus; Verlinde formula; Chern classes of the tangent bundle Zagier, D., On the cohomology of moduli spaces of rank two vector bundles over curves, (The Moduli Space of Curves, Texel Island, 1994, Progr. Math., vol. 129, (1995), Birkhäuser Boston Boston, MA), 533-563
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic hypersurface with arbitrary singularities; Chern characters
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 intersection theory; joins; local intersection multiplicity; Bezout theorem; linkage; secant varieties; Chow ring; improper intersections; Stückrad-Vogel cycle; residual intersections; connectedness; Segre classes H. Flenner, L. O'Carrol and W. Vogel. \textit{Joins and Intersections}. Springer Monographs in Math., (1999).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 scheme; graded rings and modules
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 modular functions; automorphic functions; complex multiplication; abelian extensions; class field theory; elliptic functions; rings of algebraic integers; cyclotomic fields; abelian resolvents; Galois module structure; formal groups; Kroneckers Jugendtraum Cassou-Noguès, Ph.; Taylor, M. J., Elliptic Functions and Rings of Integers, Progr. Math., vol. 66, (1987), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc. Boston, MA
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 integrable connection with irregular singular points; sheaf of germs of meromorphic p-forms H. MAJIMA, V-Poincare's Lemma and V-de Rham Cohomology for an Integrable Connectionwith Irregula Singular Points, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 4, 150-153.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 stable set ring; perfect graph; trace of canonical module
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Graded rings; Filtrations; Commutative rings; Proceedings; Symposium; Kyoto/Japan; filtrations; Buchsbaum modules; Sharp's conjecture; derivations; Cohen- Macaulay; graded rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 lattice polytopes; Ehrhart polynomial; polytope ring; toric varieties; Todd classes; \(K\)-theory Brion, M.: Points entiers dans LES polytopes convexes. Astérisque, 145-169 (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 representation of prime by principal form; parametrizations of the modular equation; ring class fields; discriminant; Euclid's regular polyhedra; 168-tesselation; Klein's curve of genus 3
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 anticanonically embedded Fano threefolds with infinite automorphism groups Yu. G. Prokhorov, ''Automorphism Groups of Fano Manifolds,'' Usp. Mat. Nauk 45(3), 195--196 (1990) [Russ. Math. Surv. 45, 222--223 (1990)].
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 computer calculations; quadratic fields; torsion groups; elliptic curves with given torsion structure; norm equations Müller, Hans H.; Ströher, Harald; Zimmer, Horst G., Torsion groups of elliptic curves with integral \(j\)-invariant over quadratic fields, J. Reine Angew. Math., 397, 100-161, (1989)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 maximally inflected hyperbolic real curves and their convex hull; patchworking of real algebraic curves; tropical curves
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 periodic points; algebraic functions; 5-adic field; ring class fields; Rogers-Ramanujan continued fraction
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 conic bundle; Seifert fiber space; rational curve; real algebraic threefolds; minimal model theory; rational algebraic surface; lens spaces János Kollár, Real algebraic threefolds. III. Conic bundles, J. Math. Sci. (New York) 94 (1999), no. 1, 996 -- 1020. Algebraic geometry, 9.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quantum cohomology; Gromov-Witten invariants; Schubert calculus; small cohomology rings; homogeneous spaces; Pieri formulas Ionuţ Ciocan-Fontanine, On quantum cohomology rings of partial flag varieties, Duke Math. J. 98 (1999), no. 3, 485 -- 524.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 abelian variety; finite field; endomorphism ring; rational points
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 graded commutative rings; Zariski category; Nullstellensatz; graded prime spectra; graded schemes; categories of schemes Y. Diers,The Zariski category of graded commutative rings, Canadian Mathematical Society Conference Proceedings13 (1992) p. 171-181.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Chow ring; hyper-Kähler manifold; Hilbert scheme of points; Fano variety of lines
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(p\)-adic representation; crystalline representation; Wach module; Hodge-Tate representation; ring of \(p\)-adic periods; deformation theory Berger, Laurent, Limites de représentations cristallines, Compos. Math., 140, 6, 1473-1498, (2004)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real and complex polynomial mappings; bifurcation locus; Jacobian problem; Newton polyhedron; regularity at infinity Chen, Y; Dias, LRG; Takeuchi, K; Tibăr, M, Invertible polynomial mappings via Newton non-degeneracy, Ann. l'Inst. Fourier, 54, 1807-1822, (2014)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 flasque tori; flasque resolution of tori; restriction map in flat cohomology; finite étale cover of integral regular semi-local rings; lifting problem for abelian extensions; Brauer group; generic matrices Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques, Principal homogeneous spaces under flasque tori: applications, J. Algebra, 106, 1, 148-205, (1987)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 variety with degenerate Gauss map; dual variety; dually degenerate variety
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Koszul cohomology; property \(N_p\); curves with general moduli
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Riemann surface; real multiplication; stable curve; moduli space; Deligne-Mumford compactification; differential form; Teichmüller curve; Hilbert modular variety M. Bainbridge; M. Möller, The Deligne-Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3, Acta Math., 208, 1-92, (2012)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(\pi\)-exponentials; \(p\)-adic differential equations: Kernel of Frobenius endomorphism of Witt vectors over a \(p\)-adic ring; radius of convergence function; algorithm; index formula; Dwork cohomology; Rationnal cohomology; Boyarsky principle; \(p\)-adic irregularity; Swan conductor
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 parabolic curve; asymptotic fields of lines; real algebraic surfaces; quadratic differential forms
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 genus; prime divisor; discrete valuation ring of rank 1; algebraic function field of one variable; invariants
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 coherent sheaves; finite length modules; Grothendieck ring of varieties; Hilbert scheme of points; torus actions
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hodge cycle; Hodge group; Hodge conjecture; complex multiplication; \(N\)-dominated abelian varieties; Hodge ring; Varchenko matrix; hyperplane arrangements [3] --, `` Hodge cycles on abelian varieties of \(S_n\)-type {'', \(J. Algebraic Geom.\)9 (2000), no. 4, p. 711-753. &MR 17}
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 arc germ; quantifier elimination; semi-algebraic set; Poincaré series; real spectrum; real constructible sets Quarez, R.: Espace des germes d'arcs réels et série de Poincaré d'un ensemble semi-algébrique. Ann. Inst. Fourier (Grenoble) \textbf{51}(1), 43-68 (2001). http://aif.cedram.org/item?id=AIF_2001__51_1_43_0
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; polynomial inequalities
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 generators of canonical ring; surface of general type Margarida Mendes Lopes, The degree of the generators of the canonical ring of surfaces of general type with \?_{\?}=0, Arch. Math. (Basel) 69 (1997), no. 5, 435 -- 440.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cone of curves; Cox ring; rational surfaces; plane divisorial valuation
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real theta-characteristics; real abelian varieties; complex conjugation on complex algebraic curves; real curves; Picard scheme; Real hyperelliptic curves; real plane curves; real trigonal curves; real moduli Gross, B. H.; Harris, J., Real algebraic curves, Ann. Sci. École Norm. Sup. (4), 14, 2, 157-182, (1981)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 elliptic genus; Jacobi form; singular real algebraic variety A. Libgober, \textit{Elliptic genera, real algebraic varieties and quasi-Jacobi forms}, arXiv:0904.1026.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; complexification; dividing varieties Bochnak, Real algebraic geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete (1998)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 symplectic real manifold; Lefschetz pencils; real hypersurfaces Gayet, D, Hypersurfaces symplectiques réelles et pinceaux de Lefschetz réels, J. Symplectic Geom., 6, 247-266, (2008)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hilbert schemes; multigraded rings; combinatorial commutative algebra DOI: 10.1016/j.aim.2009.10.003
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 additive group action; invariant ring; non-finite generation; positive characteristic
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 topologically classifying real algebraic sets; topological monomials; algebraic sets of dimension less than 4
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Borel-Moore homology; locally complete affine semi-algebraic spaces; real closed field Delfs, H.: Semialgebraic Borel-Moore-homology. Rocky Mt. J. Math.14, 987-990 (1984)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rigid analytic geometry; rigid analytic spaces; ultrametric analysis; affinoid algebras; Tate algebra; coherent modules; finiteness theorem for direct images; uniformization for elliptic curves with bad reduction Bosch, Siegfried; Güntzer, Ulrich; Remmert, Reinhold, Non-Archimedean Analysis: A Systematic Approach to Rigid Analytic Geometry, Grundlehren der Mathematischen Wissenschaften, vol. 261, (1984), Springer-Verlag: Springer-Verlag Berlin
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic model of a \(C^{\infty }\) manifold; real algebraic; coarse moduli scheme; Kuranishi family; Hilbert scheme; polarized manifold; algebraic space; Hilbert polynomial Ballico, E., ?An addendum on algebraic models of smooth models?,Geom Dedicata 38 (1991), 343-346.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Kähler manifold; 3-manifold; fundamental group; cohomology ring; resonance variety; isotropic subspace Dimca, A; Suciu, AI, Which 3-manifold groups are Kähler groups?, J. Eur. Math. Soc., 11, 521-528, (2009)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cartier divisor; coordinate ring; morphisms into toric varieties; topology of torus actions Kajiwara, T.: The functor of a toric variety with enough invariant effective cartier divisors. Tôhoku math. J. 50, 139-157 (1998)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 character sums; exponential sums; absolutely irreducible equations; equations in many variables; number of points in varieties over finite fields W. M. Schmidt, \textit{Equations over Finite Fields: An Elementary Approach}, Springer-Verlag, Berlin, New York, 1976.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 weight filtration of cohomology; hypersurface with normal crossings; Zeeman filtration of homology C. McCrory, On the topology of Deligne weight filtration, Proc. of Symp. in Pure Math. 40, Part 2 (1983), 217-226. Zbl0538.14014 MR713250
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 noetherian rings; Nullstellensatz
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cycles; outerplanar graphs; edge-cuts; polynomial ring; kernel; generators Brennan, J.; Chen, G., Toric geometry of series-parallel graphs, SIAM J. discrete math., 23, 2, 754-764, (2009)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 base ring; discrete polymatroid; Gorenstein ring; canonical module; polyhedral cone
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complexity analysis; decision method; quantifier elimination; first order theory of the reals; parallel computation; bit model of computation; real number model of computation J. Renegar, \textit{On the computational complexity and geometry of the first-order theory of the reals. Part III: Quantifier elimination}, J. Symbolic Comput., 13 (1992), pp. 329--352.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Noetherian rings; morphisms; vanishing theorems
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 purity; real spectrum; cohomology; fundamental classes; cycle maps Scheiderer C.: Purity theorems for real spectra and applications. In: Broglia, F., Galbiati, M., Tognoli, A. (eds) Real Analytic and Algebraic Geometry (Trento 1992), pp. 229--250. de Gruyter, Berlin (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real singularity; blow analytic homeomorphism; bianalytic isomorphisms; classification of real singularities; arc analytic functions; blow-up; modifications; analytic arcs; Lipschitz map Paunescu, L.: An example of blow analytic homeomorphism. Pitman res. Notes math. Ser. 381, 62-63 (1998)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Lie group; proper action; subanalytic; real analytic
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Eisenstein symbol map; motivic cohomology; Néron model; Bernoulli polynomials; boundary maps; K-theory; place of bad reduction; elliptic curve; modular curve Schappacher, N.; Scholl, A. J., \textit{the boundary of the Eisenstein symbol}, Math. Ann., 290, 303-321, (1991)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(p\)-divisible group; regular local ring Vasiu, Adrian; Zink, Thomas, Breuil's classification of \(p\)-divisible groups over regular local rings of arbitrary dimension. Algebraic and arithmetic structures of moduli spaces (Sapporo 2007), Adv. Stud. Pure Math. 58, 461-479, (2010), Math. Soc. Japan, Tokyo
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 maximal ideal rings; Azumaya algebra; invariants
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Rees ring; special fiber; determinantal ideal; variety of minimal degree; Gröbner basis; Koszul algebra; simplicial complex; non-crossing sets; Catalan numbers
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 symmetric space; homogeneous space; real structure; real form
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Griffiths ring; Jacobian ideal; complete intersection in Grassmann; Hodge group; Cayley trick
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 deformations of Galois representations; modular deformations; \(\Lambda\)-adic modular forms; universal deformation ring Gouvêa, F.Q.: Deforming Galois representations: a survey. In: Seminar on Fermat's Last Theorem (Toronto, ON, 1993-1994), CMS Conf. Proc., vol. 17, Amer. Math. Soc., Providence, RI, pp. 179-207 (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real curves; very ample; special divisors; pseudo-lines
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 determinantal ideals; algebras with straightening law; Hodge algebras; Schubert cycles; divisor class groups W. Bruns, U. Vetter, \(Determinantal Rings\). Lecture Notes in Mathematics, vol. 1327 (Springer, New York, 1988)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hilbert-Burch matrices; Artin rings; Gröbner cells; local term ordering
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 map enumeration; generating functions; equations with catalytic variables G. Chapuy and W. Fang, Generating functions of bipartite maps on orientable surfaces, Electron. J. Comb.23 (2016), #P3.31,http://www.combinatorics.org/ojs/index. php/eljc/article/view/v23i3p31.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 vanishing theorem; cohomology of differential forms with logarithmic poles
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 isogeny class; moduli space; Hilbert-Blumenthal varieties; real multiplication; orbital integral Achter, J. D.; Cunningham, C. L. R.: Isogeny classes of Hilbert -- blumenthal abelian varieties over finite fields. J. number theory 92, 272-303 (2002)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Rokhlin's inequality; island of a real curve; oval
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Commutative ring theory; Fez (Morocco)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 log geometry; discrete valuation ring; weight spectral sequence Nakayama, C., \textit{degeneration of \textit{\(\mathcal{l}\)}-adic weight spectral sequences}, Amer. J. Math., 122, 721-733, (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 unprojection; Pfaffians; deformations; codimension 4 Gorenstein ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hilbert coefficients; depth of associated graded rings; parameter ideals; Castelnuovo-Mumford regularity; postulation number
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 freeness of projective module over polynomial ring; algebraic groups Ravi A. Rao, On projective \?_{\?\(_{1}\)\cdots\?_{\?}}-modules, Amer. J. Math. 107 (1985), no. 2, 387 -- 406.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 flag manifold; quantum cohomology ring; Schubert class; affine Grassmanian; quantum Bruhat graph; quantum Chevalley formula; strange duality of \(QH^*(G/P)\) Lam, Thomas; Shimozono, Mark, Quantum cohomology of \(G/P\) and homology of affine Grassmannian, Acta Math., 204, 1, 49-90, (2010)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Jacobian conjecture; real Jacobian conjecture; polynomial mapping Braun, F.; Oréfice-Okamoto, B.: On polynomial submersions of degree 4 and the real Jacobian conjecture in R2
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 representation variety; flat connection; cohomology jump loci; filtered differential graded algebra; Artinian local ring; deformation theory
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 affine surface; real form; circle group action
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 finite Galois covers of complex projective manifolds with assigned Galois group; generalized Fuchsian equations; monodromy DOI: 10.2969/jmsj/04130391
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real hyperelliptic Riemann surface; canonical map; ruled surface; real locus; symmetric power; two-sheeted covering
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Igusa zeta function; p-adic fields; exponential sums; congruences in many variables; Newton polyhedra; complete intersection varieties W. A. Zúñiga-Galindo, ''Local zeta functions supported on analytic sets and Newton polyhedra,'' Intern. Math. Res. Notices (2009); doi: 10.1093/imrn/rnp035.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Manin's Conjecture; cubic surface; asymptotic; singular; quadratic congruence; average; large sieve; real characters Baier, S.; Derenthal, U.: Quadratic congruences on average and rational points on cubic surfaces, (2012)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 computational number theory; primality testing; elliptic curve with complex multiplication; elliptic pseudoprime; existence; distribution; factorization algorithms Gordon, D. M.: On the number of elliptic pseudoprimes. Math. Comp.52(185), 231--245 (Jan. 1989)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 solving polynomial systems; sparse polynomial systems; toric varieties; Cox rings; eigenvalue theorem; symbolic-numeric algorithm
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cohen-Macaulay semigroup rings; finitely generated semigroups; affine semigroups
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cubic forms; system; smooth variety; asymptotic; Birch; linear growth; Hasse principle; circle method; bilinear form; inequality; many variables
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 sofic group; group ring; Kaplansky's conjectures; direct finiteness; symbolic variety; algebraic cellular automaton; surjunctivity; invertibility; garden of Eden theorem
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tropical algebra; tropical geometry; tropicalization; Puiseux series; valuation; tangible; metatangible; negation map; triple; system; symmetrization; congruence; hyperfield; fuzzy ring; exploded algebra; ELT algebra; polynomial; tensor product; linear algebra; matrix; Lie algebra; superalgebra; Grassmann algebra; exterior algebra; supertropical algebra; semigroup; monoid; module; semiring; semifield; surpassing relation
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Krull valuation; noetherian local ring; rational valuation; semigroups; rationally finitely generated semigroup; residual extension; birational extension Cutkosky, Steven Dale; Teissier, Bernard, Semigroups of valuations on local rings, Michigan Math. J., 57, 173-193, (2008)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic cycles; real varieties; reduced real Lawson homology Jyh-Haur Teh, A homology and cohomology theory for real projective varieties, preprint in Arxiv.org, math.AG/0508238.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real cohomology; bordism; k-cycles which are rationally equivalent to zero; thin cycles Friedrich Ischebeck and Heinz-Werner Schülting, Rational and homological equivalence for real cycles, Invent. Math. 94 (1988), no. 2, 307 -- 316.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 irreducible closed semialgebraic set; orders of function fields; real algebraic sets Andradas, C.; Gamboa, J. M., On projections of real algebraic varieties, Pacific J. Math., 121, 2, 281-291, (1986)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; Euclidean distance degree; invariant matrix varieties; transfer principle
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Shimura curves; isogenies; abelian surfaces with quaternionic multiplication Arai, Keisuke; Momose, Fumiyuki, Errata to: Algebraic points on Shimura curves of \(\Gamma_0(p)\)-type [MR3200341], J. Reine Angew. Math., 690, 203-205, (2014)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Rees algebras; blow up algebras; toric rings; special fiber rings; Ferrers graph; Koszul
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cox rings; rational elliptic surfaces M. Artebani, A. Garbagnati, A. Laface: Cox rings of extremal rational elliptic surfaces. To appear in Transactions of the AMS. Preprint, arXiv:1302.4361.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real toric variety; polynomial system; order polytope; small cover; Newton polytope
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cohen-Macaulay module; normalization; trace ideals; conductor ideal; nearly Gorenstein ring
0