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Glorfindel
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A good introduction to derived categories of coherent sheaves are Caldaru's notes Derived categories of sheaves: a skimmingDerived categories of sheaves: a skimming.

As for Bridgeland's work, I would recommend reading his papers directly, using Huybrecht's book as a reference (as mentioned by Francesco above, "Fourier-Mukai transforms in algebraic geometry"). Specifically for Bridgeland stability conditions, I also have some short notes on my homepage, but again, you should also read his original papers.

A good introduction to derived categories of coherent sheaves are Caldaru's notes Derived categories of sheaves: a skimming.

As for Bridgeland's work, I would recommend reading his papers directly, using Huybrecht's book as a reference (as mentioned by Francesco above, "Fourier-Mukai transforms in algebraic geometry"). Specifically for Bridgeland stability conditions, I also have some short notes on my homepage, but again, you should also read his original papers.

A good introduction to derived categories of coherent sheaves are Caldaru's notes Derived categories of sheaves: a skimming.

As for Bridgeland's work, I would recommend reading his papers directly, using Huybrecht's book as a reference (as mentioned by Francesco above, "Fourier-Mukai transforms in algebraic geometry"). Specifically for Bridgeland stability conditions, I also have some short notes on my homepage, but again, you should also read his original papers.

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Arend Bayer
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A good introduction to derived categories of coherent sheaves are Caldaru's notes Derived categories of sheaves: a skimming.

As for Bridgeland's work, I would recommend reading his papers directly, using Huybrecht's book as a reference (as mentioned by Francesco above, "Fourier-Mukai transforms in algebraic geometry"). Specifically for Bridgeland stability conditions, I also have some short notes on my homepage, but again, you should also read his original papers.