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Mukai models of Fano varieties
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We give a self-contained and simplified proof of Mukai's classification of prime Fano threefolds of index 1 and genus $g \ge 6$ with at most Gorenstein factorial terminal singularities, and of its extension to higher-dimension.
Forward citations
Cited by 4 Pith papers
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Sharp systolic inequalities for K\"ahler manifolds
Sharp systolic inequalities for Kähler manifolds with positive scalar curvature attain equality on CP^n with Fubini-Study metric and imply Gromov's rational-essentialness conjecture.
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Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities
Tilt-stability is extended to singular schemes, a generalized Bogomolov-Gieseker conjecture is formulated and verified for certain singular threefolds, and stability conditions are constructed on relative Kuznetsov co...
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Cylinders in Fano threefolds of genus 9 and 10
Fano threefolds of genus 9 and 10 contain cylinders; genus-10 ones have a point with Hilbert scheme of lines of length three.
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A note on stability conditions on projective spaces
A new proof of Li's theorem on geometric Bridgeland stability conditions on projective spaces is given via quotient stack restriction.
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