Toric NCCRs of rank-one class-group Gorenstein toric singularities are classified by non-trivial upper sets in a quotient of the class group with a natural partial order.
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2 Pith papers cite this work. Polarity classification is still indexing.
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CONDITIONAL 2representative citing papers
A smooth projective surface has a 2-tilting bundle exactly when its anticanonical bundle is nef and big, proving Chan's surface conjecture.
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Non-commutative crepant resolutions of toric singularities with divisor class group of rank one
Toric NCCRs of rank-one class-group Gorenstein toric singularities are classified by non-trivial upper sets in a quotient of the class group with a natural partial order.
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Weak del Pezzo surfaces are characterized by the existence of $2$-tilting bundles
A smooth projective surface has a 2-tilting bundle exactly when its anticanonical bundle is nef and big, proving Chan's surface conjecture.