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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 local cohomology; free resolution; syzygies; graded module over polynomial ring; Bertini classification; Linear parts of resolutions; Castelnuovo regularity; rings of minimal multiplicity; projective varieties of minimal degree \beginbarticle \bauthor\binitsD. \bsnmEisenbud and \bauthor\binitsS. \bsnmGoto, \batitleLinear free resolutions and minimal multiplicity, \bjtitleJ. Algebra \bvolume88 (\byear1984), page 89-\blpage133. \endbarticle \OrigBibText David Eisenbud and Shiro Goto, Linear free resolutions and minimal multiplicity . J. Algebra 88 (1984), 89-133. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Henselization; rings with approximation property | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 multi-homogeneous coordinate ring; invertible bimodule; Rees algebra; projective scheme; ascending chain condition; non-commutative algebraic geometry; quasi-coherent sheaves; graded modules modulo torsion submodules; homogeneous coordinate rings Chan, D.: Twisted multi-homogeneous coordinate rings. J. algebra 223, 438-456 (2000) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 textbook (commutative ring theory); commutative rings and algebras; theory of modules and ideals; algebras; noetherian rings and modules; special rings | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 elliptic curve with complex multiplication; elliptic units; \(\pi ^ n\)- division points; conductor of abelian extension DOI: 10.1007/BF01388772 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 k-equivalence; germs of complex analytic varieties with isolated singular points; real-analytic equivalence; embedding dimension; rank; order | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 discrete valuation ring; differential operators with overconvergent singularities; formal scheme Huyghe, C.: Interprétation géométrique sur l'espace projectif des \(AN(K)\dagger \)-modules cohérents. C. R. Acad. sci. Paris sér. I 321, 587-590 (1995) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic spline geometry; Stanley-Reisner rings; simplicial complex; local spline ring conjecture | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real projective plane; triangle; parabola; rational cubic curve; quartic curve with three cusps; Steiner's hypocycloid | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(K3\) surfaces; Cox rings; invariant ring | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Picard groups of ring extensions; seminormal closure; polynomial rings Ischebeck, F.: On the Picard group of polynomial rings. J. algebra 88, 395-404 (1984) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 anodal ring; Picard group; integral morphisms; weak Baer rings; seminormality | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 topos; variable reals; separably real closed local ring; Dedekind reals; coherent axiomatization; semi-algebraic geometry; elimination of quantifiers DOI: 10.1016/0022-4049(86)90068-X | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Siegel modular group; resolution of cusps; rational Hilbert modular surfaces; canonical maps; modular curves; intersection theory; moduli spaces; abelian varieties with real multiplication; Kummer surface Friedrich Hirzebruch and Gerard van der Geer, Lectures on Hilbert modular surfaces, Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], vol. 77, Presses de l'Université de Montréal, Montreal, Que., 1981. Based on notes taken by W. Hausmann and F. J. Koll. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 coordinate ring of a nonsingular affine real curve | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cylindrical algebraic decomposition; CAD; topology of a semi-algebraic set; computation with real algebraic numbers; real solving of polynomial systems Lazard, D., CAD and topology of semi-algebraic sets, Math. Comput. Sci., 4, 93-112, (2010) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real closed field; polynomial ring; piecewise polynomial functions; blowing-up; real spectrum Lucas, F.; Madden, J. J.; Schaub, D.; Spivakovsky, M.: On connectedness of sets in the real spectra of polynomial rings, Manuscripta math. 128, 505-547 (2009) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real spectrum; spherical spectrum; graded ring Kaiser, R.: Das sphärische Spektrum eines graduierten Ringes. Regensbg. Math. Schr. 27 (1998) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cubic threefolds; intermediate Jacobian; elliptic curves; abelian surface with real multiplication van Geemen, B., Yamauchi, T.: On intermediate Jacobians of cubic threefolds admitting an automorphism of order five, to appear in the Looijenga volume of the Pure and Applied Math Quarterly | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 anisotropic real conic; vector bundle; group action; twisted group ring; indecomposable vector bundle | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 curves over finite fields with many rational points; asymptotic lower bounds; class field towers; degree-2 covering of curves Elkies, ND; Howe, EW; Kresch, A; Poonen, B; Wetherell, JL; Zieve, ME, \textit{curves of every genus with many points}, II\textit{: asymptotically good families}, Duke Math. J., 122, 399-422, (2004) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ring of polynomials; real algebraic variety; Hilbert space; Gaussian measure | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ring of analytic functions; real algebraic variety; Nash functions | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complex surfaces; singularities with \({\mathbb{C}}^*\)-action; orbit invariants; graded rings; Poincaré power series; automorphy factors Wagreich P.: The structure of quasihomogeneous singularities. Proc. Symp. Pure Math. 40(2), 593--611 (1983) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebroid curves; Puiseux pairs; differential module of a curve; one-dimensional local rings; local ring of singular point of a curve; torsion submodule; Fitting ideal Carbonne, P.: Sur LES différentielles de torsion, J. algebra 202, 367-403 (1998) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 canonical singularities; varieties with torus action; \(k\)-empty polytopes; Farey sequences; Cox rings | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real closed fields; real algebraic geometry; Nash functions; orders on rings or field; semi-algebraic sets; real algebraic varieties; Nash varieties; theorem of Nash and Tognoli; Witt rings Bochnak, J.; Coste, M.; Roy, M.-F., Géométrie algébrique Réelle, (1987), Springer-Verlag Berlin | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 projective ideals of polynomial ring over the real quaternions; Chern classes; jumping lines; quaternionic vector bundles | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hilbert modular variety; unit with negative norm; cyclotomic fields; cyclic fields; Hilbert modular group; arithmetical genus; number of elliptic fixed points; class number; totally real fields Keqin, F.: On arithmetic genus of Hilbert modular varieties on cyclic number fields. Sci. China 27, 576-584 (1984) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real analytic set; real algebraic set; Nash function; factoriality of ring of real analytic functions | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real closed space; real closed rings; real spectrum; extension properties for abstract semialgebraic functions N. Schwartz, Real closed rings, Algebra and order (Luminy-Marseille, 1984) Res. Exp. Math., vol. 14, Heldermann, Berlin, 1986, pp. 175-194. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tangent bundles; idempotent matrices; regular deformation retractions; affine varieties; rings with involution; matrix rings; Grassmannians | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 flat limit of \({\mathcal P}\)-ring; excellent ring; noetherian local ring; Gorenstein; complete intersection; Nagata rings Doretti, L.: A note on the flat inductive limit of P-rings, Boll. unione mat. Ital., D 2, No. 6, 29-39 (1983) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 mixed motives with multiplication; category of mixed motives; category of real mixed Hodge structures; Hodge structure of the Betti realization Deninger, C.: L-functions of mixed motives. Proc. symp. Pure math. 55, No. 1, 517-525 (1991) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ring with several objects; Galois module; Auslander algebra; enriched Kan extension Borne, Niels, Cohomology of \textit{G}-sheaves in positive characteristic, Adv. Math., 201, 2, 454-515, (2006), MR MR2211535 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tower of function fields; genus; rational places; curves with many points A. Garcia, H. Stichtenoth, On the Galois closure of towers, preprint, 2005 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 higher-dimensional algebraic varieties; birational geometry; birational classification theory; minimal model program; Mori theory; cohomological vanishing theorems; cohomological nonvanishing theorems; Cartier divisors; morphisms from curves; varieties with many rational curves; rational quotient of a variety; cone theorem; contraction theorem; extremal rays Debarre O., Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York 2001. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tilting bundles; weighted projective lines; canonical algebras; rings of semi-invariants; quivers with relations; algebras of invariants Bobiński, G., Semi-invariants for concealed-canonical algebras, J. pure appl. algebra, 219, 1, 59-76, (2015) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quadratic transformations of regular local rings; valuation ring; proximity relation; proximity sequence; curve singularities Aparicio, J.; Granja, A.; Sánchez-Giralda, T.: On proximity relations for valuations dominating a two-dimensional local regular ring. Rev. mat. Iberoamericana 15, No. 3, 621-634 (1999) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rings with involution; Lie, Jordan and other nonassociative structures; minimal model program Rasmussen J 2010 Fusion matrices, generalized Verlinde formulas, and partition functions in \textit{J. Phys. A: Math. Theor.}43 105201 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 excellent henselian ring; Artin approximation property; 2-dimensional local rings; desingularization; \(R_ 1\); \(S_ 1\) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 global function fields; curves with many rational points; low-discrepancy sequences; Gilbert-Varshamov bound Niederreiter, H., Xing, Ch.: Global function fields with many rational places and their applications. In: Mullin, R.C., Mullen, G.L. (eds.) Finite Fields: Theory, Applications, and Algorithms, Waterloo, ON, 1997. Contemp. Math., vol. 225, pp. 87--111. Amer. Math. Soc., Providence (1999) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hahn-Banach separation theorem; real closed field; \(\ast\)-algebra; group ring; sum of squares T. Netzer and A. Thom, Real closed separation theorems and applications to group algebras, Pacific J. Math. 263 (2013), no. 2, 435-452. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring; real spectrum; KO; K-theory; ring of abstract semi-algebraic functions G. W. Brumfiel, Witt rings and \?-theory, Rocky Mountain J. Math. 14 (1984), no. 4, 733 -- 765. Ordered fields and real algebraic geometry (Boulder, Colo., 1983). | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring; Nash function; components of an affine real algebraic variety; signatures Mahé, L.: Séparation des composantes réelles par les signatures d'espaces quadratiques. C. R. Acad. Sci.292, 769-771 (1981) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rational curves; quantum cohomology ring; operads; stable trees; Gromov-Witten invariants; Frobenius manifold; WDVV equation; Künneth formula; intersection theory of the moduli space; stable genus-0 curves with \(n\) marked points Kaufmann, R, The intersection form in \(H^### ({\overline{M}}_{0, n})\) and the explicit Künneth formula in quantum cohomology, Int. Math. Res. Not., 19, 929-952, (1996) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 finite group schemes; discrete valuation ring; Hilbert-Blumenthal Abelian variety; real multiplication; Hilbert modular forms; Diophantine equations Ellenberg, J. S.: Finite flatness of torsion subschemes of Hilbert -- blumenthal abelian varieties. J. reine angew. Math. 532, 1-32 (2001) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hilbert sixteenth problem; construction of a real plane algebraical curve with prescribed; topology; small perturbations of singular points; construction of a real plane algebraical curve with prescribed topology Viro, O. Ya., \textit{gluing of plane real algebraic curves and constructions of curves of degrees 6 and 7}, Proc. int. conf. on topology, general and algebraic topology, and applications, Leningrad, 1982, 187-200, (1984), Springer, Berlin | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 positive semi-definite polynomial; excellent ring; real spectrum; complete local ring Fernando, J.; Ruiz, J.; Scheiderer, C.: Sums of squares in real rings, Trans. am. Math. soc. 356, 2663-2684 (2004) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complete ideal; normal ideal of an affine domain; Rees algebra; \(S_ 2\); polynomial ring; hypersurface rings; almost complete intersections; computer algebra; Gröbner basis P. Brumatti, A. Simis and W. V. Vasconcelos, Normal Rees algebras, J. Algebra 112 (1988), 26--48. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Pythagoras number; real domain; formal power series; numerical semigroup; curves with a given semigroup Ortega J. (1991). On the Pythagoras number of a real irreducible algebroid curve. Math. Ann. 289: 111--123 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 direct sum cancellation; quadratic order; Noetherian ring; torsionfree cancellation; regular integral domain; coordinate ring of a singular affine curve; quadratic orders; integral group rings DOI: 10.1016/0021-8693(84)90077-2 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; weight filtration; homology with \(\mathbb Z_2\) coefficients [14] Clint McCrory &aAdam Parusiński, &The weight filtration for real algebraic varieties II: classical homology&#xRev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM108 (2014) no. 1, p. 6Article | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rings of invariants; graded rings; character groups; symmetric groups; ring of symmetric functions; coordinate rings; characteristic isomorphism; character theory of symmetric groups; Young subgroups; generalized Schur functions; trace functions Stephen Donkin (1993). Invariant functions on matrices. \textit{Mathematical Proceedings of the Cambridge Philosophical Society}\textbf{113}, 23-43. ISSN 1469-8064. URL http://journals.cambridge.org/article_S0305004100075757. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 semilocal rings; weak local-global principle; prime ideal theorem; Pfister's local-global principle; real spectrum; real algebraic geometry; semialgebraic sets; constructible sets; Separation theorem; maximal orderings; signatures; Witt rings; Knebusch conjecture; bilinear forms over rings Murray A. Marshall, Bilinear forms and orderings on commutative rings, Queen's Papers in Pure and Applied Mathematics, vol. 71, Queen's University, Kingston, ON, 1985. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Schwartz-Bruhat space; zeta distributions on prehomogeneous vector spaces; p-adic fields; adele ring; invariant distributions on manifolds with group action; complex powers of polynomials over local fields; zeta- functions associated to prehomogeneous vector spaces | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Buchsbaum ring; Cohen-Macaulayness; almost complete intersection ideal; multiplicity; Buchsbaum ideals with arbitrary number of generators | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 affinoid rings; adic rings; \(f\)-adic ring; continuous valuations; formal schemes; rigid analytic variety R. Huber, A generalization of formal schemes and rigid analytic varieties, Math. Z. 217 (1994), no. 4, 513-551. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Krull dimension; dimension of formal fiber; local ring with trivial formal fibers; Weierstrass Preparation Theorem; Lichtenbaum-Hartshorne Theorem | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 polynomial ring; rings of invariants; relation module of minors Kurano, K.: On relations on minors of generic symmetric matrices. J. algebra 124, 388-413 (1989) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 global function fields; curves with many rational points | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quasi-coefficient field; power series rings; ring of linear differential operators; global homological dimension; Bernstein-Sato polynomial Narváez-Macarro, L.: A note on the behaviour under ground field ex- tension of quasi-coefficient fields, J. London Math. Soc. 43 (1991), 12-22. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 group presentation; regular ring; \(p\)-component of the Brauer group; semilocal rings of geometric type; cyclic extension | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Lie group with compatible real algebraic structure; locally Nash group; algebraic addition theorem; semialgebraic groups [M-S] J. Madden and C. Stanton,One dimensional Nash groups, Pacific J. Math.154 (1992), 331--344. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 diagonal binary form; Clifford algebra; matrix rings; crossed-products; coordinate ring; plane curve T. J. Hodges and S. B. Tesser, Representing Clifford algebras as crossed-products, Journal of Algebra 123 (1989) 500--505. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic and tropical geometry; extension; field; fuzzy ring; Grassmann-Plücker map; homomorphism; ideal; matroid with coefficients; polynomial; ring; semiring; Zariski topology Dress, A.W.M., Wenzel, W.: Arithmetic and Polynomials over Fuzzy rings (in press) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 triangulation; topology of real algebraic sets; classification of real algebraic sets with isolated singularities; homology H. King, Survey on the topology of real algebraic sets, Rocky Mountain J. Math. 14 (1984), no. 4, 821 -- 830. Ordered fields and real algebraic geometry (Boulder, Colo., 1983). | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 field with one element; Deitmar scheme; loose graph; zeta function; Grothendieck ring; automorphism group; functoriality | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli space of stable bundles with an odd determinant; Chern classes; multiplicative structure of the cohomology ring Baranovskiĭ, V. Yu., The cohomology ring of the moduli space of stable bundles with odd determinant, Izv. Ross. Akad. Nauk Ser. Mat., 58, 4, 204-210, (1994) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 places of algebraic function fields; description of holomorphy ring of function fields; proof of Ax-Kochen-Ershov theorem; approximation theorems Kuhlmann, F. -V.; Prestel, A.: On places of algebraic function fields. J. reine angew. Math. 353, 181-195 (1984) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 existence of a smooth quartic with many conics; Kummer surface; polarization Bauer, Th.; Barth, W., Smooth quartic surfaces with 352 conics, Manuscr. Math., 85, 409-417, (1994) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 zero-dimensional ring extension; index of idempotence; quasilocal ring; zero-dimensional rings; zero-dimensional pair; index of nilpotency Izelgue, L; Karim, D, On the imbedding into a product of zero-dimensional commutative rings, Commun. Algebra, 30, 5123-5133, (2002) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 specialization chains of real valuation rings; real spectrum | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 endomorphism ring; real algebraic structure of complex elliptic curves as real algebraic surfaces; complex multiplication; real algebraic torus J. Huisman, The underlying real algebraic structure of complex elliptic curves. Math. Ann.294 (1992), 19-35 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ray class fields; global function fields; curves with many rational points; S-class numbers Auer, Roland, Ray class fields of global function fields with many rational places, Acta Arith., 95, 97-122, (2000) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 continuous section; spectrum functors; algebraic geometry; commutative rings; topological spaces; spectral space; open projections; prime models; real closed valuation rings; affine space; fibred product; sheaves DOI: 10.1016/0022-4049(90)90071-O | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real-closed local rings; germs of Nash functions; geometric theory; factorization system; infinitesimal stability; strictly local rings; Henselian local rings Robinson, E.: Stable theories of local rings. Category theoretic methods in geometry 35 (1983) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 commutative algebra (textbook); affine algebraic varieties; computational methods; local rings; ring extensions; Dedekind domains; graded rings; Hilbert polynomials Gregor Kemper (2010). \textit{A course in Commutative Algebra}, volume 256. Springer Science & Business Media | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 arrangements of hyperplanes; braid monodromy; curves with ordinary singularities; arrangement of real lines; fundamental group of the complement M. Salvetti,Arrangements of lines and monodromy of plane curves, Comp. Math.,68 (1988), pp. 103--122. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 uniformization of orderings; excellent rings; existence of real valuation rings; solving singularities Carlos Andradas and Jesús M. Ruiz, On local uniformization of orderings, Recent advances in real algebraic geometry and quadratic forms (Berkeley, CA, 1990/1991; San Francisco, CA, 1991) Contemp. Math., vol. 155, Amer. Math. Soc., Providence, RI, 1994, pp. 19 -- 46. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 minimal model program; minimal model program with scaling; flip; Pl-flip; multiplier ideal; canonical ring | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quantum polynomial rings; noncommutative projective geometry; ring theory; torus actions Belmans, P., De Laet, K., Le Bruyn, L. (2015). The point variety of quantum polynomial rings, arXiv preprint arXiv:1509.07312. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Birch-Swinnerton-Dyer conjecture; elliptic curve with complex multiplication; main conjecture; Iwasawa modules; elliptic units Karl Rubin, The one-variable main conjecture for elliptic curves with complex multiplication, \?-functions and arithmetic (Durham, 1989) London Math. Soc. Lecture Note Ser., vol. 153, Cambridge Univ. Press, Cambridge, 1991, pp. 353 -- 371. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real closed rings; first order axiomatization; language of rings; language of partially ordered rings; von Neumann regular rings; model companion; radical relation; real closed domains Alexander Prestel and Niels Schwartz, Model theory of real closed rings, Valuation theory and its applications, Vol. I (Saskatoon, SK, 1999), Fields Inst. Commun., vol. 32, Amer. Math. Soc., Providence, RI, 2002, pp. 261-290. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 field with one element; Tate motives; quantum modular forms; Habiro ring Lo, C. W. K.; Marcolli, M.: F\(\zeta \)-geometry, Tate motives, and the Habiro ring. Int. J. Number theory 11, No. 2, 311-339 (2015) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 semialgebraic set; semialgebraic function; real algebraic geometry; real closed ring; prime ideal; minimal prime ideal Fernando, On chains of prime ideals in rings of semialgebraic functions, Q. J. Math. 65 (3) pp 893-- (2014) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Geometry of matrices; Skew-Hermitian matrix; Adjacency; Division ring with an involution; Division ring of generalized quaternions; rank; maximal set Huang, L. P., Wan, Z. X.: Geometry of skew-Hermitian matrices. Linear Algebra Appl., 396, 127--157 (2005) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 uniformly locally finite triangulation; complex projective varieties with conical singularities; real cohomology group; canonical combinatorical Laplace operator; open manifolds; infinite simplicial complexes; \(L_ 2\)-cohomology; Sobolev cohomology; analytical \(L_ 2\)-cohomology of open oriented Riemannian manifolds; de Rham-Hodge isomorphism in the \(L_ 2\)- category; Hirzebruch's conjecture; intersection homology | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complex multiplication; connectedness; number of connected components; topology of real algebraic varieties; ring of endomorphisms | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 relations; Noetherian rings; Krull dimension; infinite dimensional primitive factor; enveloping algebra; associated graded ring; coordinate ring of type-\(A\) Kleinian singularities; Auslander-Gorenstein ring; global dimension; Grothendieck group Hodges, T.J., Noncommutative deformations of type-\textit{A} Kleinian singularities, J. algebra, 161, 271-290, (1993) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Bibliography; Buchsbaum ring; I-ring; intersection multiplicity; weak sequences; surjectivity criterion; face rings of simplicial complexes; liaison; linkage; Buchsbaumness; Rees modules Stückrad, J., Vogel, W.: Buchsbaum Rings and Applications. Springer, Berlin (1986) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Chow ring; tautological rings; BPS states for threefolds; Virasoro constraints Pandharipande, R., Three questions in Gromov--Witten theory, \textit{Proceedings of the ICM, Vol. II}, 503-512, (2002), Higher Ed. Press, Beijing | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 infinitely many primes of supersingular reduction; real embedding N. D. Elkies, Supersingular primes for elliptic curves over real number fields, Compos. Math. 72 (1989), 165--172. | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; noncommutative blowing up; Noetherian graded rings; sporadic ideals; divisor layering; graded quotient ring; twisted homogeneous coordinate ring; elliptic algebra; exceptional line modules; Godie torsion module D. Rogalski, S. J. Sierra and J. T. Stafford, Noncommutative blowups of elliptic algebras, Algebr. Represent. Theory, (2014), 1--39.Zbl 06445654 MR 3336351 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Jacobian ring of hypersurfaces; Harris conjecture; Ciliberto-Green conjecture; finitely many exceptional components of the Noether-Lefschetz locus | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 textbook; partially ordered sets; Zorn's lemma; number theory; fields; rings; abelian groups; polynomials; field extension; formal power series; polynomial rings; finite fields; power series; rational function; Bernoulli numbers; Puiseux series; Laurent series; ideals; quotient rings; factorization; Noetherian rings; prime ideals; principal ideal domains; cyclic groups; homomorphism; group action; quotient group; symmetric group; semidirect product; Sylow group; modules; free modules; commutative ring; Smith normal form; elementary divisor; Jordan form; Hermitian space; projective space; bilinear form; symplectic space; quadratic form; Kähler triples; quaternions; spinors | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 basic sequence of homogeneous ideal in a polynomial ring; Weierstrass polynomials; free resolutions; local cohomology; graded Buchsbaum rings Amasaki M.: Application of the generalized Weierstrass preparation theorem to the study of homogeneous ideals. Trans. Am. Math. Soc. 317, 1--43 (1990) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 excellent ring; real spectrum; dimension DOI: 10.1016/0021-8693(89)90129-4 | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 curves with many points over finite fields; Kummer covers; fibre products F. Özbudak, Finite number of fibre products of Kummer covers and curves with many points over finite fields, Des. Codes Crypt., 70, 385, (2014) | 0 |
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt group of skew-symmetric non-singular bilinear forms; real algebraic variety of dimension 4; ring of \({\mathbb{C}}\)-valued regular functions; Chow ring; algebraic hypersurfaces | 0 |
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