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20242026
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6 papers · 1 filter

math.AG2024

K-moduli of pure states of four qubits

Ivan Cheltsov, Maksym Fedorchuk, Kento Fujita +1

We find all K-polystable limits of divisors in of degree and explicitly describe the associated irreducible component of the K-moduli space.

math.AG2024

Rationality of singular cubic threefolds over

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

We study rationality properties of real singular cubic threefolds.

math.AG2024

K-moduli of Fano threefolds in family 3.10

Ivan Cheltsov, Alan Thompson

We find all K-polystable limits of smooth Fano threefolds in family 3.10.

math.AG2024

K-stability of pointless del Pezzo surfaces and Fano 3-folds

Hamid Abban, Ivan Cheltsov, Takashi Kishimoto +1

We explore connections between existence of -rational points for Fano varieties defined over , a subfield of , and existence of Kähler-Einstein metrics o…

math.AG2024

Birational involutions of the real projective plane

Ivan Cheltsov, Frédéric Mangolte, Egor Yasinsky +1

We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Cast…

math.AG2024

K-stability and space sextic curves of genus three

Ivan Cheltsov, Oliver Li, Sione Ma'u +1

We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable…