Results 31 to 40 of about 428 (65)
Transverse Hilbert schemes and completely integrable systems
Complex Manifolds, 2017 In this paper we consider a special class of completely integrable systems that arise as transverse Hilbert schemes of d points of a complex symplectic surface S projecting onto ℂ via a surjective map p which is a submersion outside a discrete subset of ...
Donin Niccolò Lora Lamia
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The integral cohomology of the Hilbert scheme of points on a surface
Forum of Mathematics, Sigma, 2020 We show that if X is a smooth complex projective surface with torsion-free cohomology, then the Hilbert scheme $X^{[n]}$ has torsion-free cohomology for every natural number n.
Burt Totaro
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On Chow Stability for algebraic curves [PDF]
, 2015 In the last decades there have been introduced different concepts of stability for projective varieties. In this paper we give a natural and intrinsic criterion of the Chow, and Hilbert, stability for complex irreducible smooth projective curves $C ...
Brambila-Paz, L., Torres-Lopez, H.
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DONALDSON–THOMAS INVARIANTS OF LOCAL ELLIPTIC SURFACES VIA THE TOPOLOGICAL VERTEX
Forum of Mathematics, Sigma, 2019 We compute the Donaldson–Thomas invariants of a local elliptic surface with section. We introduce a new computational technique which is a mixture of motivic and toric methods. This allows us to write the partition function for the invariants in terms of
JIM BRYAN, MARTIJN KOOL
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THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$
Forum of Mathematics, Sigma, 2016 The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
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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
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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
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Brill--Noether loci of stable rank--two vector bundles on a general curve
, 2011 In this note we give an easy proof of the existence of generically smooth components of the expected dimension of certain Brill--Noether loci of stable rank 2 vector bundles on a curve with general moduli, with related applications to Hilbert scheme of ...
Ciliberto, Ciro, Flamini, Flaminio
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On singular Hilbert schemes of points: Local structures and tautological sheaves [PDF]
Épijournal de Géométrie AlgébriqueWe show an intrinsic version of Thomason's fixed-point theorem. Then we determine the local structure of the Hilbert scheme of at most $7$ points in $\mathbb{A}^3$. In particular, we show that in these cases, the points with the same extra dimension have
Xiaowen Hu
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Homogeneous components in the moduli space of sheaves and Virasoro characters
, 2012 The moduli space $\mathcal M(r,n)$ of framed torsion free sheaves on the projective plane with rank $r$ and second Chern class equal to $n$ has the natural action of the $(r+2)$-dimensional torus.
A. Buryak +16 more
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