Notes and thesis

Thesis


  • Ph.D. thesis: l-adic, p-adic and geometric invariants in families of varieties (under the supervision of Anna Cadoret)
  • Master Thesis: Tate conjecture for Abelian varieties after Tate, Zarhin, Mori and Faltings (under the supervision of Fabrizio Andreatta and Anna Cadoret)
  • Bachelor Thesis: Galois theory of Grothendieck (in italian, under the supervision of Fabrizio Andreatta)

    Notes


  • Construction of group schemes (Gdt "Travaux de Yun")
  • Prismatic cohomology and restriction of the de-Rham cohomology to open subsets
  • Deligne-Illusie and restriction of the de-Rham cohomology to open subsets
  • Essential dimension and prismatic cohomology
  • Tight approximation for homogeneous spaces
  • The boundary complex of Mg and its cellular homology
  • Base change in coherent cohomology
  • There is no abelian schemes over Z
  • De rham cohomology (in positive characteristic)
  • An algebraic geometric view on classical number theory (to be completed)
  • Linear system on K3 surfaces (in italian)
  • Workshop on rational points and Brauer-Manin obstruction
  • Blow-ups

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