Results 31 to 40 of about 439 (61)
On perturbations of ideal complements
, 2007 Let F[x] be the space of polynomials in d variables, let GN be the Grassmannian of N -dimensional subspaces of F[x] and let JN stand for the family of all ideals in F[x] of codimension N . For a given G ∈ GN we let JG := {J ∈ JN : J ∩G = {0}} Is it true,
B. Shekhtman
semanticscholar +1 more source
The Albanese mapping for a punctual Hilbert scheme. I. Irreducibility of the fibers
, 1979 Let f: X -3 A be the canonical mapping from an algebraic surface X to its Albanese variety A, X(n) the n-fold symmetric product of X, and HX the punctual Hilbert scheme parameterizing 0-dimensional closed subschemes of length n on X.
Mark E. Huibregtse
semanticscholar +1 more source
THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS
Forum of Mathematics, Sigma, 2016 The Hilbert scheme $X^{[a]}$ of points on a complex manifold $X$
BURT TOTARO
doaj +1 more source
, 2015 Given a smooth curve on a smooth surface, the Hilbert scheme of the surface is stratified according to the length of the intersection with the curve. The strata are highly singular. We show that this stratification admits a natural log-resolution, namely
Ran, Ziv
core +1 more source
Enumeration of surfaces containing an elliptic quartic curve [PDF]
, 2014 A very general surface of degree at least four in projective space of dimension three contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces of degree at least five which contain some elliptic
Cukierman, Fernando +2 more
core +2 more sources
On the existence of curves in $ℙ^n$ with stable normal bundle
, 1999 We prove that for integers n, d, g such that n ≥ 4, g ≥ 2n and d ≥ 2g + 3n+ 1, the general (smooth) curve C in P with degree d and genus g has a stable normal bundle NC . Introduction. Let C be a smooth projective curve.
E. Ballico, Luciana Ramella
semanticscholar +1 more source
The compactified jacobian can be nonreduced
, 2015 We prove by explicit example that the compactified jacobian can be nonreduced. The example is a rational space curve of arithmetic genus 4.
Kass, Jesse Leo
core +1 more source
The fat locus of Hilbert schemes of points
, 1993 Let X be a smooth projective variety over an algebraically closed field k . Let Hilbd(X) be its Hilbert scheme of 0-dimensional subschemes of X of degree d . Let [Hilbd(X)](k) be the set of k-rational points.
M. Coppens
semanticscholar +1 more source
Non-effective Deformations of Grothendieck's Hilbert Functor
, 2006 Let X be a scheme that does not satisfy the valuative criterion of separatedness. We show that the Hilbert functor parametrizing closed families of X that are flat, finite and of rank one is not represented by a scheme or an algebraic space.Comment: 8 ...
Lundkvist, Christian, Skjelnes, Roy
core +3 more sources
The Hilbert scheme of hyperelliptic Jacobians and moduli of Picard sheaves
, 2020 Let $C$ be a hyperelliptic curve embedded in its Jacobian $J$ via an Abel-Jacobi map. We compute the scheme structure of the Hilbert scheme component of $\textrm{Hilb}_J$ containing the Abel-Jacobi curve as a point.
Ricolfi, Andrea T.
core +1 more source