Results 11 to 20 of about 34 (33)
Forum of Mathematics, Sigma, 2021 We prove an equivalence between the Bryan-Steinberg theory of $\pi $-stable pairs on $Y = \mathcal {A}_{m-1} \times \mathbb {C}$ and the theory of quasimaps to $X = \text{Hilb}(\mathcal {A}_{m-1})$, in the form of an equality of K-theoretic equivariant
Henry Liu
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Extremal Gromov-Witten invariants of the Hilbert scheme of $3$ Points
Forum of Mathematics, Sigma, 2023 We determine all the extremal Gromov-Witten invariants of the Hilbert scheme of $3$ points on a smooth projective complex surface. Our result for the genus- $1$ case verifies a conjecture that we propose for the genus- $1$ extremal ...
Jianxun Hu, Zhenbo Qin
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Quot schemes and Fourier-Mukai transformation
Complex Manifolds, 2023 We consider several related examples of Fourier-Mukai transformations involving the quot scheme. A method of showing conservativity of these Fourier-Mukai transformations is described.
Biswas Indranil +3 more
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Higher rank K-theoretic Donaldson-Thomas Theory of points
Forum of Mathematics, Sigma, 2021 We exploit the critical structure on the Quot scheme $\text {Quot}_{{{\mathbb {A}}}^3}({\mathscr {O}}^{\oplus r}\!,n)$, in particular the associated symmetric obstruction theory, in order to study rank r K-theoretic Donaldson-Thomas (DT) invariants of ...
Nadir Fasola +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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Higher rank sheaves on threefolds and functional equations [PDF]
Épijournal de Géométrie Algébrique, 2019 We consider the moduli space of stable torsion free sheaves of any rank on a smooth projective threefold. The singularity set of a torsion free sheaf is the locus where the sheaf is not locally free. On a threefold it has dimension $\leq 1$.
Amin Gholampour, Martijn Kool
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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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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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