R. Tomonaga

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math.AG2025

Higher representation infinite algebras and toric Fano stacks of Picard number one or two

Ryu Tomonaga

Tilting bundles translate geometry into non-commutative algebra via derived equivalences. We prove the existence of, and classify, $d$ -tilting bundles consisting of line bundles on…

math.AG2025

Weak del Pezzo surfaces are characterized by the existence of $2$ -tilting bundles

Ryu Tomonaga

For $d \geq 1$ , a tilting bundle on a regular proper $d$ -dimensional variety over a field is called $d$ -tilting if its endomorphism algebra has global dimension $d$ , the smallest pos…

Higher representation infinite algebras and toric Fano stacks of Picard number one or two

Weak del Pezzo surfaces are characterized by the existence of 2-tilting bundles

Weak del Pezzo surfaces are characterized by the existence of $2$ -tilting bundles