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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) oriented; connected and compact surface of genus \(g\) with \(n\) boundary components; mapping class group; group of homology cobordism classes of homology cylinders Cha, JC; Friedl, S; Kim, T, The cobordism group of homology cylinders, Compos. Math., 147, 914-942, (2011)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) deformation theory; finite group schemes; abelian varieties; Newton polygons; automorphisms of algebraic curves
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) infinite group of skew symmetries; real algebraic hypersurfaces; projective space; collineations V. F. Ignatenko, ''On an infinite group of skew symmetries,''Izv. Vuzov. Mat., No. 3, 32--34 (1994).
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) central group extensions; Euler class; moduli spaces of genus zero stable curves; Neretin's group of spheromorphisms; operads; quasi-braid groups; stabilization; Stasheff associahedron; Thompson's group C. Kapoudjian, From symmetries of the modular tower of genus zero real stable curves to an Euler class for the dyadic circle, math.GR/0006055.
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 2-dimensional Cremona group; algebraic automorphism; automorphism of the rational function field; birational automorphisms D. Wright, Two-dimensional Cremona groups acting on simplicial complexes, Trans. Amer. Math. Soc. 331 (1992), no. 1, 281--300.
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; automorphism groups; finite fields Arakelian, N.; Korchmáros, G., A characterization of the Artin-Mumford curve, J. number theory, 154, 278-291, (2015)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Harer-Zagier formula; Riemann surface; Euler characteristic; moduli space; curves; genus; enumeration; Euler circuits Lass, B., Démonstration combinatoire de la formule de harer-Zagier, C. R. Acad. Sci. Paris, 333, 155-160, (2001)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) fundamental group; algebraic surface; Galois closure; generic projection Liedtke, C.: Fundamental groups of Galois closures of generic projections, Trans. amer. Math. soc. 362, 2167-2188 (2010)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) curve on a \(K3\) surface; curves of high genus; Brill-Noether-Petri condition; linear series; surjectivity of the Wahl map Voisin, C. : '' Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri '', Acta Math. 168 (1992) 249-272.
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) uniformization; Riemann surface of genus two; involution; Riemann matrix; group automorphisms G. Riera and R. Rodriguez,Uniformization of surface of genus two with automorphisms, Math. Ann.282 (1988), 51--67.
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic surface; line arrangement; branched covering; fundamental group; characteristic variety
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) rational parametrization; rational surface; \(m\)-adjoints; geometric genus; algebraic genus; algorithm ParametrizeWithAdjoints; divisors on smooth surfaces Schicho, J.: Rational parametrization of surfaces. J. Symb. Comput. 26(1), 1--30 (1998)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Kleinian group; real analytic coordinates; real Teichmüller space; real algebraic curve; uniformization Huisman, Rev. Mat. Complut. 12 pp 47-- (1999)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic geometry; sums of squares; special curves; surfaces of minimal degree
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic cycles; cohomology group; complex projective variety equipped with its underlying real algebraic structure DOI: 10.1007/BF01265347
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; special divisors; Clifford inequality
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) curves of genus 2; Mordell-Weil group; Mordell-Weil rank; rational points; absolutely simple Jacobian; high rank
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group; positive characteristic; Artin-Schreier curves
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism groups; algebraic curves; positive characteristic Giulietti, M.; Korchmáros, G., Large 2-groups of automorphisms of algebraic curves over a field of characteristic 2, J. algebra, 427, 264-294, (2015)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) gluing; singular curves; construction of plane real algebraic curves E.I. Shustin : Real Plane Algebraic Curves with Many Singularities . Preprint Samara State University, 1991.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism groups of algebraic function fields; realization of group as Galois group; Galois theory
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) narrow Mordell-Weil lattice; group of rational points on an elliptic curve; Weyl groups as Galois groups; Mordell-Weil lattices; sphere packing; algebraic equations; inverse Galois problem; Kodaira-Néron model; height pairing; Néron-Severi group; rational elliptic surface
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Riemann surfaces; algebraic curves; automorphism groups; Jacobian varieties
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic fundamental group; stack inertia; special loci; good groups; absolute Galois group; moduli space of algebraic curves; branched covering Benjamin Collas & Sylvain Maugeais, ''Composantes irréductibles de lieux spéciaux d ?espaces de modules de courbes, action galoisienne en genre quelconque'', Ann. Inst. Fourier 65 (2015) no. 1, p. 245-276
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) affine algebraic geometry; Derksen group; polynomial automorphism; tame automorphism; tame subgroup; finite field; permutation
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic geometry; rational surface; complexification; approximation of regular maps N. Joglar-Prieto, Rational surfaces and regular maps into the 2-dimensional sphere, Math. Z. 234 (2000), 399-405. Zbl0968.14033 MR1765888
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic differential 2 forms; geometric genus; arithmetic genus; characteristic linear series; irregularity of an algebraic surface; adjunction F. Bardelli, On the origins of the concept of irregularity of an algebraic surface, in (Brigaglia, Ciliberto, Sernesi, 1994), pp. 11--26.
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) equisingular families of plane curves; curves on surfaces; real algebraic geometry; plane curve singularities Gert-Martin Greuel and Eugenii Shustin, Geometry of equisingular families of curves, Singularity theory (Liverpool, 1996) London Math. Soc. Lecture Note Ser., vol. 263, Cambridge Univ. Press, Cambridge, 1999, pp. xvi, 79 -- 108.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) existence of isotopy; immersed surface; real algebraic set; embedded surface S. Akbulut and H. King, Polynomial equations of immersed surfaces, Pacific J. Math. 131 (1988), no. 2, 209 -- 217.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) finiteness of group of automorphisms; non-ruled algebraic surface; minimal model Jelonek, Z, The group of automorphisms of an affine non-uniruled surface, Univ. Iaegel. Acta Math., 32, 65-68, (1995)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real plane algebraic curves; Hilbert's 16th problem Christopher, C., Polynomial Vector Fields with Prescribed Algebraic Limit Cycles, Geom. Dedicata, 2001, vol. 88, pp. 255--258.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curve; connected component; fundamental group Wickelgren, K.: 2-nilpotent real section conjecture, Math. ann. 358, 361-387 (2014)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Klein surface; NEC-group; automorphism groups Bujalance, E.: Automorphism groups of compact planar Klein surfaces. Manuscripta Math. 56, 105--124 (1986)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real curve; non-Euclidean crystallographic group; symmetry; species; symmetry type; automorphism group Bujalance, E. and Singerman, D.: The symmetry type of a Riemann surface. Proc. London Math. Soc. (3) 51 (1985), 501-519.
1
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) action of parabolic subgroups; connected reductive algebraic group; algebraic groups with involutions; symmetric varieties; Cartan involution; real reductive groups; orbits of symmetric varieties A. G. Helminck, On groups with a Cartan involution, Proceedings of the Hyderabad Conference on Algebraic Groups (Hyderabad, 1989) Manoj Prakashan, Madras, 1991, pp. 151 -- 192.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) torsion points of Jacobians; algebraic fundamental group; \(\ell \)-adic representation; irreducibility of moduli spaces of curves; monodromy T. Ekedahl , The action of monodromy on torsion points of Jacobians. Arithmetic algebraic geometry (Texel, 1989) . Birkhäuser Boston ( 1991 ), 41 - 49 . MR 1085255 | Zbl 0728.14028
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) compact Riemann surface; automorphism group; finite group; Jacobian; map; hypermap; dessin d'enfant
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) maximally inflected hyperbolic real curves and their convex hull; patchworking of real algebraic curves; tropical curves
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) noncylindrical algebraic surface; infinite group of symmetries; skew reflection
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) reductive group on affine space; variety diffeomorphic to affine space; fixed point; groups which act smoothly on homotopy spheres with exactly one fixed point; icosahedral group; real algebraic action; G-cobordant to a real algebraic G-variety; G-diffeomorphic to a real algebraic G- variety; Poincaré homology sphere; equivariant surgery Dovermann, K. H.; Masuda, M.; Petrie, T.: Fixed point free algebraic actions on varieties diffeomorphic to rn. Topological methods in algebraic transformation groups 80, 49-80 (1989)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Fourier-Mukai transform; moduli space of bundles; algebraic curves; Picard group M. Narasimhan, Derived categories of moduli spaces of vector bundles on curves, J. Geom. Phys., 122, 53-58, (2017)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; automorphism groups; \(p\)-rank
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) elliptic genus; Jacobi form; singular real algebraic variety A. Libgober, \textit{Elliptic genera, real algebraic varieties and quasi-Jacobi forms}, arXiv:0904.1026.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) cusp singularity; automorphism group of an Inoue-Hirzebruch surface [25] Pinkham (H. C.).-- Automorphisms of cusps and Inoue-Hirzebruch surfaces, Compositio Math., 52(3), p.~299-313 (1984). Numdam | &MR~7 | &Zbl~0573.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) curves; genus; morphism; Faltings theorem; Mordell conjecture; algebraic curve of genus greater than one; method of Demyanenko-Manin; rational points; height; Birch and Swinnerton-Dyer conjecture Kulesz, L.; Application de la méthode de Dem'janenko-Manin à certaines familles de courbes de genre 2 et 3; J. Number Theory: 1999; Volume 76 ,130-146.
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) affine surface; real form; circle group action
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) moduli space of curves; algebraic group actions; Hilbert's fourteenth problem; stability; toric varieties Dolgachev, I. V., Introduction to geometric invariant theory, Lecture Notes Series, vol. 25, (1994), Seoul National University, Research Institute of Mathematics, Global Analysis Research Center Seoul
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Weil representations; cubic hypersurfaces; irreducible subgroups; cubic invariants; automorphism groups; subgroups of \(\text{PSL}_ n(\mathbb{C})\); cyclic extensions of groups; classical groups; smallest Suzuki group; complex algebraic groups Adler, P. A.; Adler, P.: Observational techniques. Handbook of qualitative research (1994)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) vector bundles; conformal quantum field theory; Verlinde formula; Hilbert functions of moduli spaces of semi-stable vector bundles; compact Riemann surface; generalized theta bundle; Witten conjecture; intersection theory of moduli spaces of algebraic curves; topological field theories; fusion algebras Szenes, A.: The combinatorics of the Verlinde formulas In: Vector Bundles in Algebraic Geometry, Hitchin, N.J., et al., (eds.), Cambridge University Press, 1995
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Bott-Samelson-Demazure-Hansen variety; simple algebraic group; automorphism group Chary, B.N., Kannan, S.S., Parameswaran, A.j.: Automorphism group of a Bott-Samelson-Demazure-Hansen variety, Transformation Groups \textbf{20}(3), 665-698 (2015)
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) discrete logarithm problem; algebraic curve cryptography; ideal class group; algorithm; superelliptic curves Ryuichi Harasawa and Joe Suzuki, Fast Jacobian group arithmetic on \?_{\?\?} curves, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 359 -- 376.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) bipartite graph; orientably regular map; dessin d'enfant; Riemann surface; algebraic curve; Galois group G.\ A. Jones, Bipartite graph embeddings, Riemann surfaces and Galois groups, Discrete Math. 338 (2015), no. 10, 1801-1813.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) deficiency of surfaces; algebraic surface; genus
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) abelian automorphism groups; surface of general type; genus 2 fibrations
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curve; effective divisors; group structure on the neutral real component of the Jacobian Huisman, J.: On the neutral component of the Jacobian of a real algebraic curve having many components. Indag. math. 12, No. 1, 73-81 (2001)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) non-euclidean crystallographic group; compact bordered Klein surface; order of an automorphism; topological type; NEC groups
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic plane projective curves; nodal curves; quotient space
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) cofree algebraic group; coregular algebraic group; finite dimensional representation; complex reductive algebraic group; symmetric algebra; algebra of invariants; real semisimple Lie algebra; compact analytic subgroup Nicolás Andruskiewitsch, On the complicatedness of the pair (\?,\?), Rev. Mat. Univ. Complut. Madrid 2 (1989), no. 1, 13 -- 28.
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group; affine cone; del Pezzo surface; infinite transitivity; flexibility; one-parameter unipotent group Perepechko, A.Yu.: Flexibility of affine cones over del Pezzo surfaces of degree 4 and 5. Funct. Anal. Appl. \textbf{47}(4), 284-289 (2013)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) M-curve; nonexistence of singular plane real algebraic curves
0
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) singular \(K3\) surface; automorphism group; Naruki's surface; fundamental domain; lattice theory Ujikawa, M., The automorphism group of the singular K3 surface of discriminant 7, Comment. Math. Univ. St. Pauli, 62, 11-29, (2013)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Frobenius group; monodromy group; coverings of curves; algebraic function field
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real trigonal curves; real algebraic curves of type I; inflexion point; dessins d'enfants; real elliptic surfaces Degtyarev, A.; Itenberg, I.; Zvonilov, V., Real trigonal curves and real elliptic surfaces of type I, \textit{J. Reine Angew. Math}.,, \textbf{686}, 221-246, (2014)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) General surface family of \(2^nd\) degree; orthogonal system; algebraic; concentric; rectangular; equation; parameter; O.D.E.; elimination resultant; Darboux; class of curves; cyclic; confocal
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) graded coordinate system; hyperbolic curve; exterior Galois representation; outer automorphism group; punctured Riemann surface; braid-like derivation algebras; exterior Galois representations Nakamura, H.; Tsunogai, H., Some finiteness theorems on Galois centralizers in pro-\textit{} mapping class groups, J. Reine Angew. Math., 441, 115-144, (1993)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) number of nonempty ovals; topology of real nonsingular plane curves; algebraic curves of odd degree; homology of branched coverings
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Mordell-Weil group of rank at least 19; simple Jacobian; curves of genus 2 Stoll, M., Two simple 2-dimensional abelian varieties defined over \(\mathbb{Q}\) with Mordell-Weil rank at least 19, C. R. Acad. Sci. Paris, Sér. I, 321, 1341-1344, (1995)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) quotient singularities; Gorenstein singularities; canonical bundle; Gorenstein log del Pezzo surface; algebraic compactification of the affine plane; fundamental group M. Miyanishi and D.-Q. Zhang, ''Gorenstein log del Pezzo surfaces of rank one,'' J. Algebra 118(1), 63--84 (1988).
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) elliptic curves over an algebraic number field; Galois module of \(p\)-torsion points; height conjecture; asymptotic Fermat conjecture; principally polarized abelian variety; curves of genus 2 G. Frey, On elliptic curves with isomorphic torsion structures and corresponding curves of genus 2, in Elliptic curves, modular forms, \& Fermat's last theorem (Hong Kong, 1993), Internat. Press, Cambridge, MA, 1995, pp. 79--98.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) homology of the spin moduli spaces of Riemann surfaces with spin structure; Arf invariant; spin mapping class groups; fermionic string theory; Picard group; configuration of simple closed curves on a surface Harer J.L. (1990) Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. Math. Ann. 287(2): 323--334
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; Klein surfaces with boundary; Euclidean crystallographic groups
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Hurwitz group; Riemann surface; automorphism; branched covering
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Moishezon surface; homology classes represented by smoothly embedded 2- spheres; diffeomorphism group; intersection form; simply connected algebraic surface; complete intersection; Salvetti surface; monodromy group Ebeling W., C. Okonek: On the diffeomorphism group of certain algebraic surfaces. L'Enseign. Math.37, 249--262 (1991)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic surface in projective space; function fields of surfaces; subfields of function fields of algebraic surfaces; dominant rational maps; plane curves Lee, Y; Pirola, G, On subfields of the function field of a general surface in \({\mathbb{P}}^3\), Int. Math. Res. Not., 24, 13245-13259, (2015)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) planar algebraic curves; symmetry axes; dihedral group
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) rational points; Jacobians; curves of higher genus; descent; Mordell-Weil group
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) monodromy factorization; braid group; elliptic surfaces; real algebraic geometry; Hirzebruch surfaces A. Degtyarev, Hurwitz equivalence of braid monodromies and extremal elliptic surfaces , Proc. Lond. Math. Soc. (3) 103 (2011), 1083-1120.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) genus 2 curves; \(K3\) surfaces; Tate-Shafarevich group; Brauer-Manin obstruction G. A. Corn and T. M. Corn, \textit{Mathematical Handbook for Scientists and Engineers} (McGraw-Hill, New York, 1961).
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Riemann \(\zeta\)-function; \(\tau\)-function; Hermitian matrix integral; Feynman diagrams; automorphism group of a tiling of a Riemann surface; KP equations Mulase, M.: Lectures on the asymptotic expansion of a Hermitian matrix integral. In: Aratyn, H. et al. (ed.) Lecture Notes in Physics, vol. 502, pp. 91-134. Springer (1998)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Weierstrass point; algebraic curves; ruled surface; Hirzebruch surface
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) positive definiteness; positive definite extendibility; polar decomposition; characterizations of subnormality; complex moment problem on real algebraic curves; two-dimensional real moment problem; real algebraic sets J. Stochel and F. H. Szafraniec, \textit{The complex moment problem and subnormality: A polar decomposition approach}, J. Funct. Anal., 159 (1998), pp. 432--491.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) \(K3\) surface; Kählerian surface; automorphism group; degeneration; singularities; Picard lattice; integral quadratic form Nikulin, V. V., Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups, Izv. Ross. Akad. Nauk Ser. Mat., 79, 4, 103-158, (2015)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; shape; real algebraic variety; set of ovals; algorithm; computer implementation Gianni, P.; Traverso, C.: Shape determination for real curves and surfaces. Annali dell'università di ferrara. Sezione VII. Scienze matematiche 29, 87-109 (1983)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) \(p\)-gonal Riemann surface; real \(p\)-gonal Riemann surface; automorphism groups Bartolini, G.; Costa, AF; Izquierdo, M., On automorphisms groups of cyclic \(p\)-gonal Riemann surfaces, J. Symb. Comput., 57, 61-69, (2013)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) almost complex manifold with anti-holomorphic involution; flexible curve; cyclic branched covering; real membranes and homology classes of covering; real algebraic curve on surface
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) trigonal curves; algebraic stack; stack of smooth curves; Picard group of a stack; stack of vector bundles on a conic Bolognesi, M; Vistoli, A, Stacks of trigonal curves, Trans. Am. Math. Soc., 364, 3365-3393, (2012)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; automorphism groups; \(p\)-rank
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) field of characteristic zero; affine plane curves; automorphism group Daniel Daigle, On locally nilpotent derivations of \?[\?\(_{1}\),\?\(_{2}\),\?]/(\?(\?)-\?\(_{1}\)\?\(_{2}\)), J. Pure Appl. Algebra 181 (2003), no. 2-3, 181 -- 208.
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Elliptic curves with CM; large algebraic fields; absolute Galois group; Haar measure; class number
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; rational points; genus; linear codes; asymptotics; tower of curves Arnaldo Garcia, On curves over finite fields, Arithmetic, geometry and coding theory (AGCT 2003), Sémin. Congr., vol. 11, Soc. Math. France, Paris, 2005, pp. 75 -- 110 (English, with English and French summaries).
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group; fundamental group; Fuchsian group; normal surface singularity; logarithmic Kodaira dimension
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) affine threefolds; additive group action; algebraic quotient morphism; \(G_a\)-torsor; \(\mathbb{A}^1\)-fibration on punctured surface
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) supersingular \(K3\) surface; automorphism group; Fermat quartic; double sextic; Borcherds' method; Conway theory; chamber decomposition Kondō, S.; Shimada, I., The automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3, Int. Math. Res. Not. IMRN., 2014, 1885-1924, (2014)
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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) higher genus curves; Jacobians; Tate-Shafarevich group Flynn, EV, Descent via (5,5)-isogeny on Jacobians of genus 2 curves, J. Number Theory, 153, 270-282, (2015)
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