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Lectures on Bridgeland Stability (Q4606257)

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scientific article; zbMATH DE number 6846365

Language	Label	Description	Also known as
English	Lectures on Bridgeland Stability	scientific article; zbMATH DE number 6846365

Statements

scholarly article

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Lectures on Bridgeland Stability (English)

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Emanuele Macrì

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Benjamin Schmidt

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Lecture Notes of the Unione Matematica Italiana

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publication date

2 March 2018

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full work available at URL

https://arxiv.org/abs/1607.01262

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zbMATH Keywords

curves and surfaces

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derived categories

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moduli spaces

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stability condition

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MaRDI profile type

MaRDI publication profile

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Sheaves of t-structures and valuative criteria for stable complexes

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A Luna étale slice theorem for algebraic stacks

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A functorial construction of moduli of sheaves

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Stability conditions for Slodowy slices and real variations of stability

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Bridgeland-stable moduli spaces for \(K\)-trivial surfaces

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

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The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability

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Vector Bundles Over an Elliptic Curve

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Wall-crossing implies Brill-Noether: Applications of stability conditions on surfaces

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A short proof of the deformation property of Bridgeland stability conditions

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Derived automorphism groups of \(K3\) surfaces of Picard rank 1

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The space of stability conditions on the local projective plane

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MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations

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Projectivity and birational geometry of Bridgeland moduli spaces

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Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities

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The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds

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Stability conditions on Kuznetsov components

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Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra

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Bridgeland Stability Conditions on Fano Threefolds

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Nef cones of Hilbert schemes of points on surfaces

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Stability conditions on a non-compact Calabi-Yau threefold

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Stability conditions on triangulated categories

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Stability conditions on \(K3\) surfaces

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Fourier-Mukai transforms for K3 and elliptic fibrations

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Quadratic differentials as stability conditions

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d-very-ample line bundles and embeddings of Hilbert schemes of 0-cycles

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The nef cone of the moduli space of sheaves and strong Bogomolov inequalities

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The effective cone of the moduli space of sheaves on the plane

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Classification of vector bundles of rank 2 on hyperelliptic curves

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Dynamical systems and categories

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Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)

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Algebraic Families on an Algebraic Surface

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Algebraic Families on an Algebraic Surface, II, the Picard Scheme of the Punctual Hilbert Scheme

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Wall-crossing, Hitchin systems, and the WKB approximation

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Families of elliptic curves in \(\mathbb P^3\) and Bridgeland stability

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Vanishing theorems and syzygies for \(K3\) surfaces and Fano varieties

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On the moduli of vector bundles on an algebraic surface

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On a Theorem of Bogomolov on Chern Classes of Stable Bundles

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Reduction theory using semistability

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Flat surfaces and stability structures

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Tilting in abelian categories and quasitilted algebras

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On the cohomology groups of moduli spaces of vector bundles on curves

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Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili

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POSTNIKOV-STABILITY FOR COMPLEXES ON CURVES AND SURFACES

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Postnikov-stability versus semistability of sheaves

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Birational geometry of moduli spaces of sheaves and Bridgeland stability

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Introduction to stability conditions

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Toward a definition of moduli of complexes of coherent sheaves on a projective scheme.

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Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow

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MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS

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Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants

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Semiorthogonal decompositions in algebraic geometry

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Semistable sheaves in positive characteristic

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Moduli of complexes on a proper morphism

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Computing the walls associated to Bridgeland stability conditions on projective surfaces

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Rank 1 Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface

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Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds

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Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds II

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Stability conditions on curves

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A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space

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Moduli of stable sheaves. I

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Moduli of stable sheaves. II

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Mumford–Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface

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Some Moduli Spaces of Bridgeland’s Stability Conditions

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Moduli of vector bundles on a compact Riemann surface

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Holomorphic vector bundles on a compact Riemann surface

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Stable and unitary vector bundles on a compact Riemann surface

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Lectures on introduction to moduli problems and orbit spaces

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Projectivity and birational geometry of Bridgeland moduli spaces on an Enriques surface

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Stability manifold of ℙ¹

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On the moduli space of rank 3 vector bundles on a genus 2 curve and the Coble cubic

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Moduli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariants

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Vector bundles of rank 2 and linear systems on algebraic surfaces

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A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold

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Bridgeland stability on threefolds: Some wall crossings

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Counterexample to the Generalized Bogomolov–Gieseker Inequality for Threefolds

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Degeneration and specialization in algebraic families of vector bundles

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Moduli of representations of the fundamental group of a smooth projective variety. I

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Moduli stacks and invariants of semistable objects on \(K3\) surfaces

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Limit stable objects on Calabi-Yau 3-folds

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Introduction and open problems of Donaldson–Thomas theory

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Stability conditions and curve counting invariants on Calabi-Yau 3-folds

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Derived category of coherent sheaves and counting invariants

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Hilbert scheme of twisted cubics as a simple wall-crossing

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Bridgeland's stabilities on abelian surfaces

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-59486-6_5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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