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Algebraic Geometry papers — page 35

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C*-extensions of tori, higher Chow groups and applications to incidence equivalence relations for algebraic cycles.
Let X be a smooth projective variety of dimension n. If p+q=n+1 then Bloch has defined a Gm-biextension E over the product of the Chow groups CHp0(X) and CHq0(X) of homologically…
Stefan Müller-StachJan 10, 1995
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Moduli of curves with non-abelian level structure
Following Deligne and Mumford we construct a coarse moduli space of smooth curves with non-abelian level structure, involving higher order commutators. We prove that its Deligne-Mumford…
Martin Pikaart, Johan de JongJan 9, 1995
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Remarks on the Obstructedness of Cones Over Curves of Low Genus
Remarks on the Obstructedness of Cones Over Curves of Low Genus. Reason for replacement: proof of the main lemma was significantly improved.
Ciro Ciliberto, Angelo Lopez, Rick MirandaJan 6, 1995
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Cohomology of compact hyperkaehler manifolds
Let M be a compact simply connected hyperkähler (or holomorphically symplectic) manifold, H2(M)=n. Assume that M is not a product of hyperkaehler manifolds. We prove that the Lie algebra…
Misha VerbitskyJan 3, 1995
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Grothendieck duality via homotopy theory
Grothendieck proved that if f:X Y is a proper morphism of nice schemes, then Rf* has a right adjoint, which is given as tensor product with the relative canonical bundle. The…
Amnon NeemanDec 27, 1994
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Remarks on S. Lang's conjecture over function fields
In this short note, we will show the following weak evidence of S. Lang conjecture over function fields. Let f : X ---> Y be a projective and surjective morphism of algebraic varieties over an…
Atsushi MoriwakiDec 24, 1994
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An elementary approach to the abelianization of the Hitchin system for arbitrary reductive groups
We consider the moduli space of stable principal G-bundles over a compact Riemann surface C of genus >1, with G a reductive algebraic group. We explicitly construct a map F from the generic fibre of…
R. ScognamilloDec 23, 1994
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Mixed Buchsbaum--Rim Multiplicities
We prove the results about mixed Buchsbaum--Rim multiplicities announced in (9.10)(ii) on p.224 of our recent paper [J.Alg.(1994)], including a general mixed-multiplicity formula. In addition, we…
Steven Kleiman, Anders ThorupDec 20, 1994
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Moduli of Polarised Abelian Surfaces
The toroidal compactification of the moduli space of complex abelian surfaces with a polarisation of type (1,p), p a prime, is of general type if p is at least 173. Happy Christmas.
G. K. SankaranDec 19, 1994
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On Calabi-Yau Complete Intersections in Toric Varieties
We investigate Hodge-theoretic properties of Calabi-Yau complete intersections V of r semi-ample divisors in d-dimensional toric Fano varieties having at most Gorenstein singularities. Our main…
Victor V. Batyrev, Lev A. BorisovDec 18, 1994
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On the Hilbert Function of Fat Points on a Rational Normal Cubic
In this paper we find an algorithm which computes the Hilbert function of schemes Z of "fat points" in 3 whose support lies on a rational normal cubic curve C. The algorithm shows…
M. V. Catalisano, A. GimiglianoDec 15, 1994
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On CR mappings between algebraic Cauchy--Riemann manifolds and separate algebraicity for holomorphic functions
We prove the algebraicity of smooth CR-mappings between algebraic Cauchy--Riemann manifolds. A generalization of separate algebraicity principle is established.
R. A. Sharipov, A. B. SukhovDec 15, 1994
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Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles
By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that for a wide class of K3 surfaces X the punctual Hilbert schemes n(X) can be identified, for all n≥ 1, with…
Ugo Bruzzo, Antony MaciociaDec 14, 1994
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Even Linkage Classes
In this paper the author generalizes the and -type resolutions used by Martin-Deschamps and Perrin to subschemes of pure codimension in projective space, and shows that these resolutions are…
Scott R. NolletDec 14, 1994
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On Degenerate Secant and Tangential Varieties and Local Differential Geometry
We study the local differential geometry of varieties Xn⊂ C Pn+a with degenerate secant and tangential varieties. We show that the second fundamental form of a smooth variety…
J. M. LandsbergDec 13, 1994
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Quadratic forms, generalized Hamming weights of codes and curves with many points
We use the relations between quadrics, trace codes and algebraic curves to construct algebraic curves over finite fields with many points and to compute generalized Hamming weights of codes.
G. van der Geer, M. van der VlugtDec 13, 1994
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The multiple-point schemes of a finite curvilinear map of codimension one
Let X and Y be smooth varieties of dimensions n-1 and n over an arbitrary algebraically closed field, f:X-> Y a finite map that is birational onto its image. Suppose that f is curvilinear; that is,…
Steven Kleiman, Joseph Lipman, Bernd UlrichDec 12, 1994
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β-nbc bases for cohomology of local systems on hyperplane complements
We study cohomology with coefficients in a rank one local system on the complement of an arrangement of hyperplanes . The cohomology plays an important role for the theory of generalized…
Michael Falk, Hiroaki TeraoDec 12, 1994
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Characteristic classes in the Chow ring
We study the ring of characteristic classes with values in the Chow ring for principal G-bundles over schemes. If we consider bundles which are locally trivial in the Zariski topology, then we…
D. Edidin, W. GrahamDec 10, 1994
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Characteristic classes and quadric bundles
We construct Euler and Stiefel-Whitney classes of vector bundles with quadratic form by analyzing the intersection theory of the associated quadric bundles. We also compute the Chow rings of quadric…
D. Edidin, W. GrahamDec 9, 1994
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On the Deligne--Beilinson cohomology sheaves
We are showing that the Deligne--Beilinson cohomology sheaves Hq+1( Z(q) D) are torsion free by assuming Kato's conjectures hold true for function fields. This result is…
Luca Barbieri-VialeDec 7, 1994
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Sous-variétés de codimension 2 d'une variété abélienne
This is the published version. Previous version had minor errors. In French.
O. DebarreDec 6, 1994
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Fulton-Hansen and Barth-Lefschetz Theorems for Subvarieties of Abelian Varieties
This is the published (Crelles Journal 467 (1995), 187--197) version of an e-print entitled "ON SUBVARIETIES OF ABELIAN VARIETIES".
O. DebarreDec 6, 1994
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A lecture on Kac--Moody Lie algebras of the arithmetic type
We name an indecomposable symmetrizable generalized Cartan matrix A and the corresponding Kac--Moody Lie algebra g (A) of the arithmetic type if for any β∈ Q with $(β|…
Viacheslav V. NikulinDec 6, 1994
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Cellular decompositions of compactified moduli spaces of pointed curves
To a closed connected oriented surface S of genus g and a nonempty finite subset P of S is associated a simplicial complex (the arc complex) that plays a basic r\ ole in understanding the…
Eduard LooijengaDec 5, 1994
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