Fourier–Mukai Transform on a Compactified Jacobian
UN Bhosle, SK Singh - International Mathematics Research …, 2020 - academic.oup.com
… compactified Jacobian and show that the Euler number of Picard bundles is zero (Section 2).
… In the final section, we study Fourier–Mukai transforms of vector bundles of higher ranks on |…
… In the final section, we study Fourier–Mukai transforms of vector bundles of higher ranks on |…
Fourier-Mukai transform for fine compactified Prym varieties
E Franco, R Hanson, J Ruano - arXiv preprint arXiv:2206.12349, 2022 - arxiv.org
… Fourier–Mukai transform constructed by Arinkin and Melo–Rapagnetta–Viviani, which
corresponds to autoduality … In Section 2 we recall some properties of compactified Jacobians from […
corresponds to autoduality … In Section 2 we recall some properties of compactified Jacobians from […
Fourier-Mukai transforms and normalization of nodal curves
E Franco, R Hanson, J Horn, A Oliveira - arXiv preprint arXiv:2405.11860, 2024 - arxiv.org
… The second generalisation we suggest replaces a compactified Jacobian with a … Since
the Jacobian of a smooth curve is autodual, the Fourier–Mukai transform provides a non-trivial …
the Jacobian of a smooth curve is autodual, the Fourier–Mukai transform provides a non-trivial …
Some results on the compactified Jacobian of a nodal curve
UN Bhosle, AJ Parameswaran - Indian Journal of Pure and Applied …, 2024 - Springer
… of autoduality of \({\bar{J}}(Y)\), there are also generalisations to families of compactified
Jacobians [10, … derived categories [2]. For arbitrary nodal curves, this is done by Melo et al. [14]. …
Jacobians [10, … derived categories [2]. For arbitrary nodal curves, this is done by Melo et al. [14]. …
Perverse filtrations and Fourier transforms
D Maulik, J Shen, Q Yin - arXiv preprint arXiv:2308.13160, 2023 - arxiv.org
… Our techniques combine Arinkin’s autoduality for coherent … We show that both (i) and (ii) are
essentially consequences … theory of Fourier– Mukai transforms for compactified Jacobians of …
essentially consequences … theory of Fourier– Mukai transforms for compactified Jacobians of …
On generalized Beauville decompositions
Y Bae, D Maulik, J Shen, Q Yin - arXiv preprint arXiv:2402.08861, 2024 - arxiv.org
… On the other hand, we construct for any g ≥ 2 a compactified Jacobian fibration of genus g
… exist for compactified Jacobian fibrations even when the simplest singular point appears. …
… exist for compactified Jacobian fibrations even when the simplest singular point appears. …
A decomposition theorem for the affine Springer fibers
Z Chen - arXiv preprint arXiv:2404.08225, 2024 - arxiv.org
… By the autoduality of the compactified Jacobian, we have canonical isomorphisms … With
theorem 1 and the equation (2), we can deduce a similar expression for the homology of X0 …
theorem 1 and the equation (2), we can deduce a similar expression for the homology of X0 …
Complex K-theory of moduli spaces of Higgs bundles
M Groechenig, S Shen - arXiv preprint arXiv:2212.10695, 2022 - arxiv.org
… Arinkin’s autoduality of compactified Jacobian to a … Fourier-Mukai kernel of a derived
equivalence between smooth DM stacks. We now have the following commutative diagram of Z /2 …
equivalence between smooth DM stacks. We now have the following commutative diagram of Z /2 …
Unramified covers and branes on the Hitchin system
… Review of autoduality of compactified Jacobians of integral curves … Fourier–Mukai and
normalization … The interest of our construction relies on two aspects: firstly the branes we consider …
normalization … The interest of our construction relies on two aspects: firstly the branes we consider …
Unramified covers and branes on the Hitchin system
… The interest of our construction relies on two aspects: firstly the branes we consider are …
This Fourier–Mukai transform is carried out using the autoduality of compactified Jacobians of …
This Fourier–Mukai transform is carried out using the autoduality of compactified Jacobians of …