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I am looking for a comprehensive book or notes in algebraic geometry and algebraic topology techniques used in string theory compactifications covering topics like orientifolds, orbiolds, Calabi-Yau manifolds and toric geometry, divisors, resolution of singularities, fiber bundles etc.

If it contains explicit examples and exercises it would be useful.

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Did you try the CMI book on Mirror Symmetry by Hori et al, available here ? In particular chapters 6 and 7 seem relevant.

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