Hokuto Uehara

Exceptional collections on toric Fano threefolds and birational geometry

Bernardi and Tirabassi show the existence of full strong exceptional collections consisting of line bundles on smooth toric Fano

A counterexample of the birational Torelli problem via Fourier–Mukai transforms

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Exceptional Sheaves on the Hirzebruch Surface 2

-folds under assuming Bondals conjecture, which states that the Frobenius push-forward of the structure sheaf

Autoequivalences of derived categories of elliptic surfaces with non-zero Kodaira dimension

\mc O_X

Three-dimensional terminal toric flips

generates the derived category

Autoequivalences of derived categories on the minimal resolutions of An-singularities on surfaces

D^b(X)

Stability Conditions on An-Singularities

for smooth projective toric varieties

Tilting generators via ample line bundles

X

Stability conditions on

. In this article, we show Bondals conjecture for smooth toric Fano

A_n

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