6 citations · 7 across the 8 of their papers we have counts for
9 papers
Quantizations of local Calabi-Yau threefolds and their moduli of vector bundles
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar +1
We describe the geometry of noncommutative deformations of local Calabi-Yau threefolds, showing that the choice of Poisson structure strongly influences the geometry of the quantum…
Lagrangian skeleta, collars and duality
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar +1
We present a geometric realization of the duality between skeleta in and collars of local surfaces. Such duality is predicted by combining two auxiliary types of d…
25 open questions about vector bundles and their moduli
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar
We present 25 open questions about moduli spaces of vector bundles and related topics and discuss some longstanding conjectures. We hope to inspire young researchers to engage in t…
The Kuranishi map for vector bundles on certain products of curves
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar +1
We describe deformations of vector bundles on surfaces that are a product of two smooth projective curves. We explicitly describe the Kuranishi map around unstable vector bundles a…
Adjoint orbits of and their geometry
Francisco Rubilar, Leonardo Schultz
Let be the special linear group and its Lie algebra. We study geometric properties associated to the adjoint orbits in the…
20 open questions about deformations of compactifiable manifolds
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar
Deformation theory of complex manifolds is a classical subject with recent new advances in the noncompact case using both algebraic and analytic methods. In this note, we recall so…
Deformations of noncompact Calabi--Yau manifolds, families and diamonds
E. Gasparim, F. Rubilar
We introduce a new notion of deformation of complex structure, which we use as an adaptation of Kodaira's theory of deformations, but that is better suited to the study of noncompa…
Katzarkov-Kontsevich-Pantev conjecture for minimal adjoint orbits
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar +1
We prove that LG models for minimal semisimple adjoint orbits satisfy the Katzarkov-Kontsevich-Pantev conjecture about new Hodge theoretical invariants.
Deformations of Noncompact Calabi-Yau threefolds
Elizabeth Gasparim, Thomas Köppe, Francisco Rubilar +1
We describe deformations of the noncompact Calabi-Yau threefolds $W_k = \mbox{Tot}(\mathcal{O}_{\mathbb{P}^1}(-k) \oplus \mathcal{O}_{\mathbb{P}^1}(k-2))$ for , as well as…