Results 11 to 20 of about 439 (61)
Hyperkähler geometry of rational curves in twistor spaces
Complex Manifolds, 2022 We investigate the pseudo-hyperkähler geometry of higher degree rational curves in the twistor space of a hyperkähler 4-manifold.
Bielawski Roger, Zhang Naizhen
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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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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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The Nori-Hilbert scheme is not smooth for 2-Calabi Yau algebras [PDF]
, 2014 Let k be an algebraically closed field of characteristic zero and let A be a finitely generated k−algebra. The Nori Hilbert scheme of A, HilbnA, parameterizes left ideals of codimension n in A, and it is well known that HilbnA is smooth when A is ...
Raf Bocklandt, F. Galluzzi, F. Vaccarino
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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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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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Topological properties of Hilbert schemes of almost-complex four-manifolds II [PDF]
, 2010 In this article, we study the rational cohomology rings of Voisin’s Hilbert schemes X anc associated with a symplectic compact four-manifold X . We prove that these rings can be universally constructed from H .X;Q/ and c1.X/, and that Ruan’s crepant ...
Julien Grivaux
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The Hilbert Scheme of Space Curves of small diameter [PDF]
, 2006 This paper studies space curves C of degree d and arithmetic genus g, with homogeneous ideal I and Rao module M = H 1( ˜ I), whose main results deal with curves which satisfy 0Ext 2(M;M) = 0 (e.g.
Jan O. Kleppe
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The DT/PT correspondence for smooth curves [PDF]
, 2018 We show a version of the DT/PT correspondence relating local curve counting invariants, encoding the contribution of a fixed smooth curve in a Calabi-Yau threefold.
Ricolfi, Andrea T.
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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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