Results 21 to 30 of about 439 (61)
The cohomology rings of Hilbert schemes via Jack polynomials [PDF]
, 2003 In this note, generalizing earlier work of Nakajima and Vasserot, we study the (equivariant) cohomology rings of Hilbert schemes of certain toric surfaces and establish their connections to Fock space and Jack polynomials.Comment: Appeared in a CRM ...
Li, Wei-Ping +2 more
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Differential geometry of Hilbert schemes of curves in a projective space
Complex Manifolds, 2019 We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4.
Bielawski Roger, Peternell Carolin
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Character Formulas on Cohomology of Deformations of Hilbert Schemes of K3 Surfaces [PDF]
, 2015 Let X be a hyperkahler manifold deformation equivalent to a Hilbert scheme of n points on a K3 surface. We compute the graded character formula of the generic Mumford-Tate group representation on the cohomology ring of X, and derive a generating series ...
Zhang, Letao
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Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties [PDF]
, 2010 We define Enriques varieties as a higher dimensional generalization of Enriques surfaces and construct examples by using fixed point free automorphisms on generalized Kummer varieties.
Boissiere, Samuel +2 more
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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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Nodal curves with general moduli on K3 surfaces [PDF]
, 2007 We investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a general genus g curve C is the normalization of a d-nodal curve X sitting on a primitively polarized K3 surface S of degree 2p-2, for p any integer between 3
Flamini, Flaminio +3 more
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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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Gotzmann's persistence theorem for finite modules [PDF]
, 2015 We prove a generalization of Gotzmann's persistence theorem in the case of modules with constant Hilbert polynomial. As a consequence, we show that the defining equations that give the embedding of a Quot scheme of points into a Grassmannian are given by
Ståhl, Gustav Sædén
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Obstructions to deforming a space curve
, 1981 Mumford described a curve, y, in P3 that has obstructed infinitesimal deformations (in fact the Hilbert scheme of the curve is generically nonreduced). This paper studies y's Hilbert scheme by studying deformations of y in P3 over parameter spaces of the
D. Curtin
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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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