Igor Reider

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20112021

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math.AG2021

Bridgeland stability conditions and the tangent bundle of surfaces of general type

Igor Reider

Let $X$ be a smooth compact complex surface with the canonical divisor $K_{X}$ ample and let $Θ_{X}$ be its holomorphic tangent bundle. Bridgeland stability conditions are used to stud…

math.AG2018

On the Infinitesimal Torelli theorem for regular surfaces with very ample canonical divisor

Igor Reider

Let $X$ be a smooth compact complex surface subject to the following conditions: (i) the canonical line bundle $O_{X} (K_{X})$ is very ample, (ii) the irregularity $q(X): = h…

math.AG2011

Nonabelian Jacobian of Smooth Projective Surfaces - A Survey

Igor Reider

The nonabelian Jacobian $\JA$ of a smooth projective surface $X$ is inspired by the classical theory of Jacobian of curves. It is built as a natural scheme interpolating between th…