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   <subfield code="a">Analytic and Algebraic Geometry </subfield>
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   <subfield code="a">Chapter 1. On the Bumpy Fundamental Group Scheme -- Chapter 2. Heat Kernels, Bergman Kernels, and Cusp Forms -- Chapter 3. On a Conjecture of Butler -- Chapter 4. A Survey of Low Dimensional (Quasi) Projective Groups -- Chapter 5. Parabolic Sheaves and Logarithmic Geometry -- Chapter 6. A Survey of Ulrich Bundles -- Chapter 7. Noether-Lefschetz Locus and a Special Case of the Variational Hodge Conjecture: Using Elementary Techniques -- Chapter 8. Tangent Bundle of P2 and Morphism from P2 to Gr(2;C4) -- Chapter 9. Twisting by a Torsor -- Chapter 10. Hitchin Hamiltonians in Genus 2 -- Chapter 11. Smoothness of Moduli Space of Stable Torsion-free Sheaves with Fixed Determinant in Mixed Characteristic -- Chapter 12. Group Compactications and Moduli Spaces -- Chapter 13. The Serre-Swan Theorem for Ringed Spaces -- Chapter 14. An Extension Theorem for Hermitian Line Bundles -- Chapter 15. Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3.</subfield>
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