2024
Thurston compactifications of spaces of stability conditions on curves (Journal article)
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/9104DOI: 10.1090/tran/9104
2023
On the Bogomolov–Gieseker Inequality in Positive Characteristic (Journal article)
Koseki, N. (2023). On the Bogomolov–Gieseker Inequality in Positive Characteristic. International Mathematics Research Notices, 2023(24), 20784-20811. doi:10.1093/imrn/rnac260DOI: 10.1093/imrn/rnac260
Koseki, N., & Ouchi, G. (2023). Perverse schobers and Orlov equivalences. EUROPEAN JOURNAL OF MATHEMATICS, 9(2). doi:10.1007/s40879-023-00628-xDOI: 10.1007/s40879-023-00628-x
2022
Stability conditions on Calabi-Yau double/triple solids (Journal article)
Koseki, N. (2022). Stability conditions on Calabi-Yau double/triple solids. Forum of Mathematics, Sigma, 10. doi:10.1017/fms.2022.58DOI: 10.1017/fms.2022.58
2021
Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups (Journal article)
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-yDOI: 10.1007/s00209-021-02774-y
Derived categories of Thaddeus pair moduli spaces via d-critical flips (Journal article)
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.2021.107965DOI: 10.1016/j.aim.2021.107965
Perverse Coherent Sheaves on Blow-ups at Codimension 2 Loci (Journal article)
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/rnz175DOI: 10.1093/imrn/rnz175
2020
Stability conditions on threefolds with nef tangent bundles (Journal article)
Koseki, N. (2020). Stability conditions on threefolds with nef tangent bundles. Advances in Mathematics, 372, 107316. doi:10.1016/j.aim.2020.107316DOI: 10.1016/j.aim.2020.107316
2018
Stability conditions on product threefolds of projective spaces and Abelian varieties (Journal article)
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.12132DOI: 10.1112/blms.12132