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2024

Thurston compactifications of spaces of stability conditions on curves

Kikuta, K., Koseki, N., & Ouchi, G. (n.d.). Thurston compactifications of spaces of stability conditions on curves. Transactions of the American Mathematical Society. doi:10.1090/tran/9104

DOI: 10.1090/tran/9104
: Journal article

2023

On the Bogomolov–Gieseker Inequality in Positive Characteristic

Koseki, N. (2023). On the Bogomolov–Gieseker Inequality in Positive Characteristic. International Mathematics Research Notices, 2023(24), 20784-20811. doi:10.1093/imrn/rnac260

DOI: 10.1093/imrn/rnac260
: Journal article

Perverse schobers and Orlov equivalences

Koseki, N., & Ouchi, G. (2023). Perverse schobers and Orlov equivalences. EUROPEAN JOURNAL OF MATHEMATICS, 9(2). doi:10.1007/s40879-023-00628-x

DOI: 10.1007/s40879-023-00628-x
: Journal article

2022

Categorical blow-up formula for Hilbert schemes of points

DOI: 10.1090/proc/16391
: Preprint

Stability conditions on Calabi-Yau double/triple solids

Koseki, N. (2022). Stability conditions on Calabi-Yau double/triple solids. Forum of Mathematics, Sigma, 10. doi:10.1017/fms.2022.58

DOI: 10.1017/fms.2022.58
: Journal article

2021

Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups

Koseki, N. (2021). Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups. Mathematische Zeitschrift, 299(3-4), 2379-2404. doi:10.1007/s00209-021-02774-y

DOI: 10.1007/s00209-021-02774-y
: Journal article

Derived categories of Thaddeus pair moduli spaces via d-critical flips

Koseki, N., & Toda, Y. (2021). Derived categories of Thaddeus pair moduli spaces via d-critical flips. Advances in Mathematics, 391, 107965. doi:10.1016/j.aim.2021.107965

DOI: 10.1016/j.aim.2021.107965
: Journal article

Perverse Coherent Sheaves on Blow-ups at Codimension 2 Loci

Koseki, N. (2021). Perverse Coherent Sheaves on Blow-ups at Codimension 2 Loci. International Mathematics Research Notices, 2021(15), 11452-11492. doi:10.1093/imrn/rnz175

DOI: 10.1093/imrn/rnz175
: Journal article

2020

Stability conditions on threefolds with nef tangent bundles

Koseki, N. (2020). Stability conditions on threefolds with nef tangent bundles. Advances in Mathematics, 372, 107316. doi:10.1016/j.aim.2020.107316

DOI: 10.1016/j.aim.2020.107316
: Journal article

2018

Stability conditions on product threefolds of projective spaces and Abelian varieties

Koseki, N. (2018). Stability conditions on product threefolds of projective spaces and Abelian varieties. Bulletin of the London Mathematical Society, 50(2), 229-244. doi:10.1112/blms.12132

DOI: 10.1112/blms.12132
: Journal article