## Figures from this paper

## 45 Citations

### Tilting Bundles and Toric Fano Varieties

- Mathematics
- 2015

This thesis constructs tilting bundles obtained from full strong exceptional collections of line bundles on all smooth toric Fano fourfolds. The tilting bundles lead to a large class of explicit…

### T-structures on a local 4-Calabi-Yau variety

- Mathematics
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. Let X = Tot Ω P 2 denote the total space of cotangent bundle of P 2 . This is a non-compact Calabi-Yau 4-fold (also called local Calabi-Yau variety in physics literature). The aim of this paper is…

### Projectivity of Bridgeland Moduli Spaces on Del Pezzo Surfaces of Picard Rank 2

- Mathematics
- 2015

We prove that, for a natural class of Bridgeland stability conditions on $\mathbb{P}^1\times\mathbb{P}^1$ and the blow-up of $\mathbb{P}^2$ at a point, the moduli spaces of Bridgeland semistable…

### Toric systems and mirror symmetry

- MathematicsCompositio Mathematica
- 2013

Abstract In their paper [Exceptional sequences of invertible sheaves on rational surfaces, Compositio Math. 147 (2011), 1230–1280], Hille and Perling associate to every cyclic full strongly…

### Tilting objects on twisted forms of some relative flag varieties

- Mathematics
- 2015

We prove the existence of tilting objects on generalized Brauer--Severi varieties, some relative flags and some twisted forms of relative flags. As an application we obtain tilting objects on certain…

### Wall-crossing structures on surfaces

- Mathematics
- 2022

Families of Bridgeland stability conditions induce families of stability data, wall-crossing structures and scattering diagrams on the motivic Hall algebra. These structures can be transferred to the…

### Some remarks on rigid sheaves, helices and exceptional vector bundles on Fano varieties over arbitrary fields

- Mathematics
- 2016

In this paper we study the connection between rigid sheaves and separable-exceptional objects on Fano varieties over arbitrary fields. We give criteria for a rigid vector bundle on a Fano variety to…

### Stringy Kaehler moduli, mutation and monodromy

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This paper gives the first description of derived monodromy on the stringy Kahler moduli space (SKMS) for a general irreducible flopping curve C in a 3-fold X with mild singularities. We do this by…

### Nef divisors for moduli spaces of complexes with compact support

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In Bayer and Macrì (J Am Math Soc 27(3):707–752, 2014), the first author and Macrì constructed a family of nef divisors on any moduli space of Bridgeland-stable objects on a smooth projective variety…

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