scientific article

From MaRDI portal

zbMath0299.14018MaRDI QIDQ4053768

David Mumford

Publication date: 1974


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Unnamed Item, On the genus of curves in the generic Prym variety, Algebraic methods for vector bundles on non-Kähler elliptic fibrations, Unnamed Item, Special line bundles on curves with involution, More projective geometry associated with unramified double covers of curves of genus four, Recovering of curves with involution by extended Prym data, Non representability of twice the minimal class in a generic Jacobian, Prym varieties of triple cyclic covers, The Brill-Noether curve and Prym-Tyurin varieties, Hyperelliptic curves on \((1,4)\)-polarised abelian surfaces, Uniformization of Jacobian varieties and deformations of curves, A metric graph satisfying \(w_4^1 = 1\) that cannot be lifted to a curve satisfying \(\dim (W_4^1 ) = 1\), Unnamed Item, Counter-examples of high Clifford index to Prym-Torelli, Betti numbers of curves and multiple-point loci, Singularities of the Prym theta divisor, Jacobians with group actions and rational idempotents, Arithmetic Torelli maps for cubic surfaces and threefolds, The rationality problem for conic bundles, Polarisations of type \((1,2,\dots ,2)\) on abelian varieties, Some recent generalizations of the classical rigid body systems, The Schottky-Jung theorem for Mumford curves, Unnamed Item, The B-quadrilateral lattice, its transformations and the algebro-geometric construction, \(q\)-étale covers of cyclic \(p\)-gonal covers, Prym-Tyurin varieties coming from correspondences with fixed points, The level-rank duality for non-abelian theta functions, On certain reduction problems concerning abelian surfaces, On linear stability and syzygy stability, Geometry of Brill-Noether loci on Prym varieties, The middle Jacobian of three-dimensional varieties, A theorem of Gieseker-Petri type for Prym varieties, Bielliptic curves of genus three and the Torelli problem for certain elliptic surfaces, Self-duality of Coble's quartic hypersurface and applications., Hyperelliptic genus 4 curves on abelian surfaces, Siegel's theorem and the Shafarevich conjecture, Prym subvarieties \(P_{ \lambda }\) of Jacobians via Schur correspondences between curves, On parametrizing exceptional tangent cones to Prym theta divisors, On abelian varieties the theta divisor of which is singular in codimension 3, Distinguishing Prymians from Jacobians, Some remarks on the schemes \(W_ d^ r\), Surfaces generating the even primal cohomology of an abelian fivefold, Shimura curves in the Prym locus, Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system, HYPERBOLIC ORDINARINESS OF HYPERELLIPTIC CURVES OF LOWER GENUS IN CHARACTERISTIC THREE, Existence of \(g^{1}_{g-2}\)'s on a double covering of a hyperelliptic curve, Geometric Waldspurger periods II, Martens-Mumford theorems for Brill-Noether schemes arising from very ample line bundles, On the Hitchin system, The surface \(C\)-\(C\) on Jacobi varieties and 2nd order theta functions, The uniformization of the moduli space of principally polarized abelian 6-folds, Prym varieties and applications, Hecke algebras acting on abelian varieties, Prym varieties and the Verlinde formula, A note on gonality of curves on general hypersurfaces, Sur les variétés de Prym des courbes tétragonales, The curve of “Prym canonical” Gauss divisors on a Prym theta divisor, On Prym varieties for the coverings of some singular plane curves, Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta, Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants, Units in the modular function field. I. - II: A full set of units. - III: Distribution relations, Unnamed Item, Unnamed Item, The Hodge conjecture for general Prym varieties, Aspetti geometrici della teoria delle varietà di Prym, Variétés de Prym et jacobiennes intermédiaires, Unnamed Item, Prym varieties and Teichmüller curves, Prym varieties and Schottky problem, Base number theorem for abelian varieties, Fourier transform and Prym varieties, On the Hilbert scheme of a Prym variety, Infinitesimal study of a factorization of the Prym map, Prym-Tyurin varieties using self-products of groups, The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic, The rational points on certain abelian varieties over function fields, Abel-Prym maps for isotypical components of Jacobians, A category of kernels for equivariant factorizations. II: Further implications, A remark on the rank of Jacobians of hyperelliptic curves over \({\mathbb{Q}}\) over certain elementary abelian 2-extensions, Heterotic-F-theory duality with Wilson line symmetry-breaking, Variétés de Prym et ensembles d'Andreotti et Mayer. (Prym varieties and Andreotti-Mayer sets), Curves on generic Kummer varieties, Unnamed Item, A Hurwitz divisor on the moduli of Prym curves, Étale double covers of cyclic $p$-gonal covers, The motive of a smooth theta divisor, The generic Torelli theorem for the Prym map, Unnamed Item, Unnamed Item, Theta-duality on Prym varieties and a Torelli theorem, Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics, Universal Properties of Prym Varieties With an Application to Algebraic Curves of Genus Five, Prym varieties and the geodesic flow on \(\mathrm{SO}(n)\), A compactification of a family of determinantal Godeaux surfaces, The tetragonal construction, The small Schottky-Jung locus in positive characteristics different from two., On the even-order vanishing of Jacobian theta functions, Classical solutions of \({\mathbb{C}}P^ n\) non linear \(\sigma\)-models; an algebraic geometrical description, On the Chow group and the intermediate Jacobian of a conic bundle, A pointed Prym–Petri Theorem, Projective normality of abelian varieties, Experiments with Ceresa classes of cyclic Fermat quotients, Shimura curves in the Prym loci of ramified double covers, Kirchhoff’s theorem for Prym varieties, Global Prym-Torelli for double coverings ramified in at least six points, Arithmetic statistics of Prym surfaces, Rank growth of elliptic curves over 𝑁-th root extensions, Higher dimensional Shimura varieties in the Prym loci of ramified double covers, Geometry of Prym semicanonical pencils and an application to cubic threefolds, The trigonal construction in the ramified case, Moduli spaces of modules over even Clifford algebras and Prym varieties, KP solitons and the Riemann theta functions, The desingularization of the theta divisor of a cubic threefold as a moduli space, Hitchin fibration under ramified coverings, Sixfolds of generalized Kummer type and K3 surfaces, Euler characteristics of Brill-Noether loci on Prym varieties, Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023, Kummer Quartic Surfaces, Strict Self-duality, and More, The birational geometry of \(\overline{\mathcal{R}}_{g, 2}\) and Prym-canonical divisorial strata, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Relative compactified Jacobiansof linear systemson Enriques surfaces, Generic vanishing and minimal cohomology classes on abelian fivefolds, Generic injectivity of the Prym map for double ramified coverings, Unnamed Item, Cubic threefolds and abelian varieties of dimension five, Unnamed Item, The moduli space of cubic surface pairs via the intermediate Jacobians of Eckardt cubic threefolds, Prym varieties of genus four curves, Second order theta divisors on Pryms, Unnamed Item, Klein coverings of genus 2 curves, Primes Dividing Invariants of CM Picard Curves, The fibers of the Prym map of étale cyclic coverings of degree 7, On relations among 1-cycles on cubic hypersurfaces, Unnamed Item, The fibers of the ramified Prym map, The arithmetic-geometric mean and isogenies for curves of higher genus