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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 surface of general type; surface with \(p_g=0\); Bloch conjecture Pedrini, C., Weibel, C.: Some surfaces of general type for which Bloch's conjecture holds. In: Period Domains, Algebraic Cycles, and Arithmetic. Cambridge Univ. Press, Cambridge (2015)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 closedness of the singular sets; Gorenstein ring; dualizing complex; Spec DOI: 10.1080/00927879308824821
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 computational problems; supersingular elliptic curves; isogeny graphs; endomorphism rings; constructive versions of Deuring's correspondence
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cylindrical algebraic decomposition; Lazard valuation; Puiseux with parameter theorem
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real rational functions; real critical values; chord diagrams; enumeration Shapiro, B.; Vainshtein, A.: Counting real rational functions with all real critical values. Mosc. math. J. 3, 647-659 (2003)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli spaces of genus zero stable maps; real algebraic variety; real structure S. Kwon, Real aspects of the moduli space of genus zero stable maps , preprint, math.AG/0305128
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 commutative cancellative torsion-free monoid; monoid ring; \(K\)-homotopy invariance; multiplicative action; nilpotence conjecture; toric variety; local-global patching; Mayer-Vietoris sequence for singular varieties; excision; pyramidal descent; big Witt vectors; nil-\(K\)-theory Joseph Gubeladze, Higher \?-theory of toric varieties, \?-Theory 28 (2003), no. 4, 285 -- 327.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 geometry of principal bundles; singularities of smooth mappings; symplectic reduction with singularities; Yang-Mills connections; stratified symplectic space; Poisson structure; geometry of moduli spaces; representation spaces; moduli of holomorphic vector bundles J. Huebschmann, ''The singularities of Yang-Mills connections for bundles on a surface. I. The local model,'' Preprint (1992).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Kochen operator; rational functions; Kochen ring; formally \(p\)-adic fields; admissible sets; general valuation theory Unruh, W. G.: S.m.christensenquantum theory of gravity. Quantum theory of gravity, 234 (1984)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 integral domain; factorial; Ufd; coordinate domain; polynomial ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Chern classes; Holomorphic foliations with singularities; residues; rationality conjecture; vector bundles; sheaves
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Chow ring; moduli; bundles
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 periodic points; algebraic function; 2-adic field; ring class fields; quartic Fermat equation
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 invariant ideal; algebra automorphisms of the polynomial ring Marilena Pittaluga, The automorphism group of a polynomial algebra, Methods in ring theory (Antwerp, 1983) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 129, Reidel, Dordrecht, 1984, pp. 415 -- 432.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Mori dream spaces; Cox rings; invariant theory Mckernan, J., Mori dream spaces, Jpn. J. math., 5, 1, 127-151, (2010)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 typical rank; real rank boundary; binary form; real roots; coincident root locus; Waring problem
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic plane curve; pseudo-line; Jacobian G. Fichou, J. Huisman, A geometric description of the neutral component of the Jacobian of a real plane curve having many pseudo-lines, Math. Nach., to appear.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 graded ring; modules of differentials; minimal cotangent complex; Euler homomorphism; complete intersection; Poincaré series Avramov, L.L.; Herzog, J., Jacobian criteria for complete intersections, Invent. math., 117, 75-88, (1984)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Artinian Gorenstein ring; Macaulay inverse system; zero-dimensional scheme
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 two-dimensional local ring; cyclic extension; jet spaces; branch divisor Igor Zhukov, Ramification of surfaces: Artin-Schreier extensions, Algebraic number theory and algebraic geometry, Contemp. Math., vol. 300, Amer. Math. Soc., Providence, RI, 2002, pp. 211 -- 220.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 basic semi-analytic set; basic semi-algebraic set; real spectrum; fan
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cox rings; rational surfaces; effective monoids De La Rosa Navarro, B.L., Frías Medina, J.B., Lahyane, M., Moreno Mejía, I., Osuna Castro, O.: A geometric criterion for the finite generation of the Cox ring of projective surfaces. Rev. Mat. Iberoam. 31(4), 1131-1140 (2015)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hurwitz numbers; Lambert ring; Pandharipande's equation; enumerative geometry
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 hypersurfaces with isolated singularities; Tjurina number; symmetric hypersurfaces; unipotent group
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cancellation problem; polynomial ring; automorphian group Jörn Wilkens, On the cancellation problem for surfaces, C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), no. 9, 1111 -- 1116 (English, with English and French summaries).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 fundamental groups; complements of real curves; Zariski pair; arrangements; Galois covering Namba, M; Tsuchihashi, H, On the fundamental groups of Galois covering spaces of the projective plane, Geom. Dedicata, 104, 97-117, (2004)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Kleinian group; real analytic coordinates; real Teichmüller space; real algebraic curve; uniformization Huisman, Rev. Mat. Complut. 12 pp 47-- (1999)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complete ideals; regular local ring; sandwich singularity; cluster
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; sums of squares; special curves; surfaces of minimal degree
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quadratic transformations of the real projective plane A. Degtyarev, Quadratic transformations RP2\toRP2, in: Topology of Real Algebraic Varieties and Related Topics, AMS Transl. Ser. 2, 173, Providence, 1996, pp. 61--71
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 instructional exposition; textbooks; group theory; field theory and polynomials; commutative rings and algebras; noncommutative rings; algebraic geometry; homological algebra Ash, R. B., Basic abstract algebra. for graduate students and advanced undergraduates, (2007), Dover Publications, Inc. Mineola, NY
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic cycles; real algebraic surfaces; real Enriques surfaces; Galois-maximality; Brauer group Frédéric Mangolte and Joost van Hamel, Algebraic cycles and topology of real Enriques surfaces, Compositio Math. 110 (1998), no. 2, 215 -- 237.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real irreducible algebroid curve; Pythagoras number; sum of squares; low multiplicity
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli space of instantons; classifying map of the index bundle; cohomology rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli space; stable pair; Chow ring; matroid
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rational points; elliptic curves; modular forms; area of right triangle with rational sides; survey; congruent numbers; students education
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic curves; special divisors; Clifford inequality
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 torsion subgroup; elliptic curve; base change; G-curve; totally real field; rational point S. Kamienny,On the torsion subgroups of elliptic curves over totally real field. Invent. Math. 83 (1986), 545-551. Zbl0585.14023 MR827366
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 henselian ring; Néron desingularization; Artin approximation property; excellent ring; singularity of the localization; formal power series ring Rotthaus, C., Rings with approximation property, Math. Ann., 287, 455-466, (1990), MR 1060686 (91f:13025)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; infinitesimal deformation; numerical algebraic geometry; polynomial system; homotopy continuation; algorithm; real roots; numerical examples Hauenstein, JD, Numerically computing real points on algebraic sets, Acta applicandae mathematicae, 125, 105-119, (2013)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complemented ideals; real analytic functions; local Phragmén-Lindelöf condition
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Gorenstein rings; minimal free resolutions; Godeaux surfaces
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 global dimension; rings of global sections; sheaves of twisted differential operators; spectral sequence; flag varieties; enveloping algebras of semisimple Lie algebras; Weyl group DOI: 10.1112/blms/24.2.148
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 toric varieties; affine extensions; Gorenstein local rings Şahin, M, Extensions of toric varieties, Electron. J. Combin., 18, p93, (2011)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 decomposition theorem; Chow ring; decomposition of the small diagonal --------, Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces, Geom. Topol. 16 (2012), 433--473.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 nonnoetherian rings; foundations of algebraic geometry; noncommutative algebraic geometry Beil, C., Nonnoetherian geometry, \textit{J. Algebra Appl.}, 15, (2016)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic spaces; stacks; relationships of algebraic curves with integrable systems; vector bundles on curves and their moduli
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 jacobian conjecture; real polynomial map; tame automorphism DOI: 10.1006/jabr.1995.1024
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quotient singularity; trace ideal; invariant ring; nearly Gorenstein
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 prounipotent groups; relation modules; presentation; free prounipotent group; syzygy; resolution; direct products; complete group algebra; coordinate ring; Magnus embedding; closed lower central series
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(F\)-rational ring; characteristic \(p\); pure subring Wa3 K.-i.~Watanabe, \(F\)-rationality of certain Rees algebras and counterexamples to ``Boutot's theorem'' for \(F\)-rational rings, J. Pure Appl. Algebra \textbf 122 (1997), no. 3, 323--328.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 minimal models of threefolds; Shokurov's log geography; topological bounds; effective finite generation; adjoint rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli space of curves; Chow ring; moduli space of stable curves; intersection product; Riemann-Roch theorem Mumford, D.: Towards an Enumerative Geometry of the Moduli Space of Curves, Arithmetic and Geometry, Vol. II, Progress in Mathematics, vol.~36, pp.~271-328. Birkhäuser Boston, Boston (1983)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quadratic imaginary field; continued fraction expansion; elliptic curves with complex multiplication; \(\sqrt{-19}\)-division points Rishi, Dharam Bir; Parnami, J. C.; Rajwade, A. R.: Complex multiplication by (1 +\sqrt{}-19) 2. Indian J. Pure appl. Math. 14, 630-634 (1983)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 curves on surfaces; minimal analytic surface; number of algebraic families of curves with fixed arithmetic genus
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 nonnoetherian ring; nonnoetherian geometry; dimer algebra; Calabi-Yau singularity
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(G\)-Higgs bundle; elliptic curve; real vector bundle; involution
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 arithmetic-geometric-mean exponentials; convex optimization; exact certificate; geometric programming; hybrid numeric-symbolic algorithm; nonnegative circuits; real algebraic geometry; relative entropy programming; rounding-projection procedure
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 trace polynomial; Positivstellensatz; Hankel matrix; real algebraic geometry
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 torus action; polytopes; Fano varieties; Kähler-Einstein metrics; Cox rings Süß, H., Fano threefolds with 2-torus action--a picture book, Doc. Math., 19, 905-914, (2014)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cohen-Macaulay rings; Hilbert functions Quehen, VE; Roberts, LG, Non-Cohen-Macaulay projective monomial curves with positive \(h\)-vector, Canad. Math. Bull., 48, 203-210, (2005)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 going-down ring; semiquasilocal; open ring pair; LO-pair; INC-pair; integral closure Dobbs, D. E., Chatham, R. D.: On open ring pairs of commutative rings, Houston J. Math., 31 (2005), 65--74
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 motivic cohomology; correspondence; K-theory; sheaf with transfer
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complete intersection ring; Dutta multiplicity; Euler characteristic; finite free complex; finite projective dimension; lim Ulrich sequence
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real analytic geometry; singularities; o-minimality; quasianalyticity
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 gluing; singular curves; construction of plane real algebraic curves E.I. Shustin : Real Plane Algebraic Curves with Many Singularities . Preprint Samara State University, 1991.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(p\)-adically closed fields; \(p\)-adic Nullstellensatz; real algebraic geometry
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hilbert-Kunz multiplicity; toric rings; characteristic \(p\)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real nullstellensatz; Hilbert's 17th problem; sum of squares of; meromorphic functions; real radical Ruiz, Jesús M., On Hilbert's 17th problem and real Nullstellensatz for global analytic functions, Math. Z., 0025-5874, 190, 3, 447-454, (1985)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 smooth projective curve over field \(k\) with rational point; theta characteristic; motivic stable homotopy type category \(SH(S)\); line bundle; tangent bundle Röndigs, O.: Theta characteristics and stable homotopy types of curves, Q. J. Math. 61, No. 3, 351-362 (2010)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 families of rational curves; smooth compactification; Grassmann variety; Quot scheme; Chow ring Strømme, S A, On parametrized rational curves in Grassmann varieties., Lecture Notes in Math, 1266, 251-272, (1987)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 regular local ring; Azumaya algebra; Grothendieck conjecture for Hermitian spaces
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 valuation rings; splinters; derived splinters; local uniformization
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Gauss conjecture; modular curves; Drinfeld modular curves; class field tower; congruence function fields; ring of \(S\)-integers; ideal class number; class number Lachaud, G.; Vladut, S.: Gauss problem for function fields, J. number theory 85, No. 2, 109-129 (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 attached prime; cofinite module; cohomological dimension; local cohomology; Noetherian ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Langlands conjecture on zeta functions of Shimura varieties; fixed points of twisted Hecke correspondences; Honda-Tate theory for abelian varieties with endomorphisms R.\ E. Kottwitz, Points on some Shimura varieties over finite fields, J. Amer. Math. Soc. 5 (1992), no. 2, 373-444.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 group actions; locally trivial action on a factorial variety; non-finitely generated ring of invariants Deveney J. K., Transformation Groups 2 pp 137-- (1997)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 good semigroups; embedding dimension; semigroup of a ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 dimension of real algebraic homology group; real algebraic variety; Zariski closed real algebraic hypersurfaces; Albanese variety; endomorphisms; complex elliptic curve; jacobian variety Bochnak J., Kucharz W.: Real algebraic hypersurfaces in complex projective varieties. Math. Ann. 301, 381--397 (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Castelnuovo-Mumford regularity; generalized Cohen-Macaulay modules; standard system of parameters; Buchsbaum ring Hoa, Lê Tuân; Miyazaki, Chikashi, Bounds on Castelnuovo--Mumford regularity for generalized Cohen--Macaulay graded rings, Math. Ann., 301, 3, 587-598, (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 vector bundles; commutative semirings; ring completions; fuzzy ideals; fuzzy \(k\)-ideals
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cohomology rings of finite groups Jon F. Carlson, Cohomology, computations, and commutative algebra, Notices Amer. Math. Soc. 52 (2005), no. 4, 426 -- 434.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 varieties over a local field; Néron models; arithmetical graphs; discrete valuation ring; Jacobian; abelian variety; group of components Lorenzini, D., Reduction of points in the group of components of the Néron model of a Jacobian, J. Reine Angew. Math., 527, 117-150, (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real-analytic CR-manifolds; CR-automorphisms; projective regularization A. Isaev and W. Kaup, ''Regularization of Local CR-Automorphisms of Real-Analytic CR-Manifolds,'' J. Geom. Anal. 22(1), 244--260 (2012).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic curve; real roots; isolation; counting; PRS (polynomial remainder sequence) H. Hong, An efficient method for analyzing the topology of plane real algebraic curves. Mathematics and Computers in Simulation,42 (1996), 571--582.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 surface of general type; surface with \(p_g=0\) Keum, J.; Lee, Y.; Park, H., Construction of surfaces of general type from elliptic surfaces via \(\mathbb{Q}\)-Gorenstein smoothing, Math. Z., 272, 3-4, 1243-1257, (2012)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; suspension; automorphism group; infinite transitivity
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cylindrical algebraic decomposition of a real algebraic plane curve; complexity ROY (M.-F.) , SZPIRGLAS (A.) . - Complexity of computations with real algebraic numbers , à paraître au Journal of Symbolic Computation.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring; dimension index; skew symmetric; bilinear space; vector bundle
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Gorenstein rings; adjunction Papadakis, Type II unprojection, J. Algebraic Geom. 15 pp 399-- (2006)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 formally real field; real valuation; valuation fan; Henselian field; real algebraic variety; abstract space of orderings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Artin-Rees lemma; residue currents; polynomial ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 metaplectic groups; algebraic theory of theta functions; representations of Heisenberg groups; sections of line bundles on complex abelian varieties; isogenies; tower of an abelian variety; theta relations; homogeneous coordinate ring of an abelian variety D. Mumford, \textit{Tata lectures on theta} (1988).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic set; semialgebraic set; regular function; rational function; regulous function; arc-symmetric set; arc-analytic function; approximation; vector bundle
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complex elliptic curve as real algebraic surface J. Bochnak, J. Huisman, When is a complex elliptic curve the product of two real algebraic curves? Math. Ann.293 (1992), 469-474
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 decomposition of birational morphism; smooth curves on surfaces; with rational double points; blow-up of a smooth point; Gorenstein; threefold singularities D. Morrison, ''The biratioanl geometry of surfaces with ratiional double points,''Math. Ann.,271, 415--438 (1985).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 plane algebraic curves with prescribed singularities Shustin E. Real plane algebraic curves with prescribed singularities. Topology, 1993, 32: 845--856
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hecke operator; modular curve; Kummer 1-motive; Eisenstein section; Anderson extension; Anderson 1-motive; modular units; divisor class group; generalized Anderson extension C. BRINKMANN , Die Andersonextension und 1-Motive , Bonner Mathematische Schriften. 223. Bonn : Univ. Bonn, Math.-Naturwiss. Fak. ( 1991 ). MR 94a:11087 | Zbl 0749.14001
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complex multiplication; endomorphism ring of Jacobian; Fermat curve
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 accumulation of secants; ordinary differential equations; real analytic geometry
0