In-Kyun Kim

activity

20152026

most citedAlpha invariants of birationally rigid Fano threefolds

3 citations · 9 across the 18 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.DG2026

Sasaki-Einstein metrics on connected sums of $S^{3} \times S^{4}$

Dasol Jeong, In-Kyun Kim, Jihun Park +1

We completely characterize the $n$ -fold connected sums of $S^{3} \times S^{4}$ that admit Sasaki-Einstein structures by proving that such a structure exists if and only if $n$ is even.

math.AG2026

Polarized cylinders on blow-ups of weighted projective planes

In-Kyun Kim, Masatomo Sawahara, Joonyeong Won

We study polarized cylinders in certain rational surfaces arising from blow-ups of weighted projective planes. In particular, we consider the surfaces obtained by blowing up $m + 4$ …

math.AG2026

Cylinders in weighted Fano varieties

Adrien Dubouloz, In-Kyun Kim, Takashi Kishimoto +1

Cylinders in Fano varieties receives a lot of attentions recently from the viewpoints of birational geometry and unipotent geometry. In this article, we provide a survey of several…

Sasaki-Einstein metrics on connected sums of S3×S4

Polarized cylinders on blow-ups of weighted projective planes

Cylinders in weighted Fano varieties

Sasaki-Einstein metrics on connected sums of $S^{3} \times S^{4}$