Skip to content

Algebraic Geometry papers — page 39

alg-geomBrowse archive

Natural transformations from constructible functions to homology
For complex projective varieties, all natural transformations from constructible functions to homology (modulo torsion) are linear combinations of the MacPherson-Schwartz-Chern classes. (The authors…
Gary Kennedy, Clint McCrory, Shoji YokuraJul 14, 1994
Learn
Beyond the Kähler cone
The moduli space of nonlinear σ-models on a Calabi--Yau manifold contains a complexification of the Kähler cone of the manifold. We describe a physically natural analytic continuation process which…
David R. MorrisonJul 14, 1994
Learn
Reduction of the Manin map modulo p
For an abelian variety A over a function field K of characteristic zero, Manin defined a remarkable additive map A(K) V, where V is a vector space over K. We define an analogue of this…
A. Buium, J. F. VolochJul 13, 1994
Learn
Generating Functions in Algebraic Geometry and Sums over Trees
We calculate generating functions for the Poincare polynomials of moduli spaces of pointed curves of genus zero and of Configuration Spaces of Fulton and MacPherson. We also prove that contributions…
Yu. I. ManinJul 12, 1994
Learn
On the stability of the tangent bundle of Fano manifolds
By using the classification of Fano 3-folds we prove: Let X be Fano 3-fold. Assume that the tangent bundle TX of X is not stable (i.e. semi-stable or unstable). Then b2≥ 2 and a relative…
Andreas SteffensJul 10, 1994
Learn
Canonical Generators for the Cohomology of Moduli of Parabolic Bundles on Curves
We determine generators of the rational cohomology algebras of moduli spaces of parabolic vector bundles on a curve, under some `primality' conditions on the parabolic datum. These generators are…
I. Biswas, N. RaghavendraJul 4, 1994
Learn
Differential-geometric characterizations of complete intersections
The exposition has been significantly altered, hopefully improved.
J. M. LandsbergJul 1, 1994
Learn
Quadrature Mirror Filters and Loop Groups
In this paper we want to show, that the finite impulse response quadratic mirror filters (QMF) associated to a tower of grids Γ⊂ H= Zn can be identified with a right coset of the subgroup…
Matthias HolschneiderJul 1, 1994
Learn
Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
Based on the combinatorial description of the moduli spaces of curves provided by Strebel differentials, Witten and Kontsevich have introduced combinatorial cohomology classes…
Enrico Arbarello, Maurizio CornalbaJun 30, 1994
Learn
Some glueing formulas for spin polynomials and a proof of the Van de Ven conjecture
We deduce some formulas for the spin invariants of the connected sum of an arbitrary 4-manifold X, b+ 2(X) > 0 with CP2 in terms of the spin invariants of X$ and apply this to…
Victor PidstrigatchJun 27, 1994
Learn
Infinite-dimensional Lie algebras and the period map for curves
We compute higher-order differentials of the period map for curves and show how they factor through the corresponding higher Kodaira-Spencer classes. Our approach is based on the infinitesimal…
Yakov KarpishpanJun 23, 1994
Learn
Pfaffian Subschemes
A subscheme X⊂ Pn+3 of codimension 3 is Pfaffian if it is the degeneracy locus of a skew-symmetric map f:E(-t) @>>> E with E a locally free sheaf…
Charles H. WalterJun 17, 1994
Learn
Log Smooth Deformation Theory
This paper gives a foundation of log smooth deformation theory. We study the infinitesimal liftings of log smooth morphisms and show that the log smooth deformation functor has a representable hull.…
Fumiharu KatoJun 15, 1994
Learn
Universal Hodge Bundle and Mumford Isomorphisms on the Abelian Inductive Limit of Teichmüller Spaces
Let denote the moduli space of compact Riemann surfaces of genus g. Mumford had proved that, for each fixed genus g, there are isomorphisms asserting that certain higher DET bundles over…
Indranil Biswas, Subhashis Nag, Dennis SullivanJun 15, 1994
Learn
Spin canonical invariants of 4-manifolds and algebraic surfaces
The paper is a colloquial-style discussion of invariants of algebraic surfaces analogous to the Donaldson polynomials, arising from moduli spaces of ``jumping'' Yang--Mills instantons, or…
Andrei TyurinJun 13, 1994
Learn
Gorenstein Quotient Singularities of Monomial Type in Dimension Three
The purpose of this paper is to construct a crepant resolution of quotient singularities by finite subgroups of SL(3,C) of monomial type, and prove that the Euler number of the resolution is equal to…
Yukari ItoJun 11, 1994
Learn
On Riemann-Roch Formulas for Multiplicities
A Theorem due to Guillemin and Sternberg about geometric quantization of Hamiltonian actions of compact Lie groups G on compact Kaehler manifolds says that the dimension of the G-invariant…
Eckhard MeinrenkenMay 30, 1994
Learn
Deformation theory and Lie algebra homology
A description of a ring of functions on the base of a universal formal deformation for several moduli problems is given. The answer is given in terms of a homology group of a certain dg Lie algebra…
Vladimir Hinich, Vadim SchechtmanMay 25, 1994
Learn
Local structure of the moduli space of vector bundles over curves
We analyze the local structure of the moduli space of semi-stable bundles on a curve. In particular, a complete description of the local structure is given in the rank 2 case. We obtain as a…
Yves LaszloMay 24, 1994
Learn
Algebraic Surfaces with Log-Terminal Singularities and nef Anticanonical Class and Reflection Groups in Lobachevsky Spaces. I (Basics of the Diagram Method)
In our preprint: "Algebraic surfaces with log-terminal singularities and nef anticanonical class and reflection groups in Lobachevsky spaces", Preprint Max-Planck-Institut für Mathematik,…
Viacheslav V. NikulinMay 23, 1994
Learn
Adjoints of ideals in regular local rings
The adjoint of an ideal I in a regular local ring R is the R-ideal adj(I):=H0(Y, IωY), where f:Y -> Spec(R) is a proper birational map with Y nonsingular and IOY invertible, and ωf is a canonical…
Joseph LipmanMay 20, 1994
Learn
Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians
Let X be a Fano manifold which is the zero scheme of a general global section s in an irreducible homogenous vector bundle over a Grassmannian. We prove that the restriction of the Plücker…
Oliver KüchleMay 20, 1994
Learn
Infinitesimal Deformations and Obstructions for Toric Singularities
The obstruction space T2 and the cup product T1 x T1 -> T2 are computed for toric singularities.
Klaus AltmannMay 16, 1994
Learn
On the A-D-E classification of the simple singularities of functions
We show how the classification of simple singularities of functions can be reduced directly, not using the normal forms, to the classification of irreducible Weyl groups. We also prove that the class…
Mikhail EntovMay 15, 1994
Learn
A Fourier-Mukai Transform for Stable Bundles on K3 Surfaces
We define a Fourier-Mukai transform for sheaves on K3 surfaces over , and show that it maps polystable bundles to polystable ones. The role of ``dual'' variety to the given K3 surface X…
C. Bartocci, U. Bruzzo, D. Hernandez RuiperezMay 13, 1994
Learn
← PreviousPage 39Next →