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Cristiano Spotti

  1. 2023
  2. Published

    Calabi–Yau metrics with conical singularities along line arrangements. / de Borbon, Martin; Spotti, Cristiano.

    In: Journal of Differential Geometry, Vol. 123, No. 2, 02.2023, p. 195-239.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  3. Published
  4. E-pub ahead of print

    Extremal metrics on the total space of destabilising test configurations. / Sektnan, Lars Martin; Spotti, Cristiano.

    In: Mathematische Annalen, 2023.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  5. 2022
  6. Published

    A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds. / Spotti, Cristiano; Angella, Daniele; Calamai, Simone et al.

    ArXiv, 2022.

    Research output: Working paper/Preprint Preprint

  7. 2021
  8. Published

    Extremal metrics on the total space of destabilising test configurations. / Spotti, Cristiano; Sektnan, Lars Martin.

    ArXiv, 2021.

    Research output: Working paper/Preprint Preprint

  9. Published

    Applications of the moduli continuity method to log K-stable pairs. / Gallardo, Patricio; Martinez-Garcia, Jesus; Spotti, Cristiano.

    In: Journal of the London Mathematical Society, Vol. 103, No. 2, 03.2021, p. 729-759.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  10. Published

    Some observations on the dimension of Fano K-moduli. / Spotti, Cristiano; Martinez Garcia, Jesus.

    ArXiv, 2021.

    Research output: Working paper/Preprint Preprint

  11. Published

    Asymptotically conical Calabi-Yau metrics with cone singularities along a compact divisor. / De Borbon, Martin; Spotti, Cristiano.

    In: International Mathematics Research Notices, Vol. 2021, No. 2, 01.01.2021, p. 1198-1223.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  12. 2020
  13. Published

    Remarks on Chern-Einstein Hermitian metrics. / Spotti, Cristiano; Angella, Daniele; Calamai, Simone.

    Mathematische Zeitschrift, 2020. p. 1707-1722.

    Research output: Working paper/Preprint Working paperResearchpeer-review

  14. 2019
  15. Published

    Kähler-Einstein metrics via moduli continuity method. / Spotti, Cristiano.

    Moduli of K-stable Varieties. ed. / G. Codogni; R. Dervan; F. Viviani. Springer, 2019. p. 141-152 (Springer INdAM Series, Vol. 31).

    Research output: Contribution to book/anthology/report/proceedingBook chapterResearchpeer-review

  16. Published

    Local models for conical Kähler-Einstein metrics. / Spotti, Cristiano; de Borbon, Martin.

    In: Proceedings of the American Mathematical Society, Vol. 147, No. 3, 2019, p. 1217-1230.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  17. 2018
  18. Published

    ALE Calabi-Yau metrics with conical singularities along a compact divisor. / de Borbon, Martin; Spotti, Cristiano.

    International Mathematics Research Notices , 2018.

    Research output: Working paper/Preprint Working paperResearchpeer-review

  19. Published

    Applications of the moduli continuity method to log K-stable pairs. / Gallardo, Patricio; Martinez Garcia, Jesus; Spotti, Cristiano.

    ArXiv, 2018.

    Research output: Working paper/Preprint Working paperResearch

  20. 2017
  21. Published

    Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. / Spotti, Cristiano; Sun, Song.

    ArXiv, 2017.

    Research output: Working paper/Preprint Working paperResearch

  22. Published

    Kähler-Einstein metrics on ℚ -smoothable Fano varieties, their moduli and some applications. / Spotti, Cristiano.

    Springer INdAM Series. Vol. 21 Springer, 2017. p. 211-229 (Springer INdAM Series, Vol. 21).

    Research output: Contribution to book/anthology/report/proceedingBook chapterResearchpeer-review

  23. Published

    Calabi-Yau metrics with conical singularities along line arrangements. / Spotti, Cristiano; de Borbon, Martin.

    ArXiv, 2017.

    Research output: Working paper/Preprint Working paperResearch

  24. Published

    Explicit Gromov–Hausdorff compactifications of moduli spaces of Kähler–Einstein Fano manifolds. / Spotti, Cristiano; Sun, Song.

    In: Pure and Applied Mathematics Quarterly, Vol. 13, No. 3, 2017, p. 477-515.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  25. Published

    Kahler-Einstein metrics on Q-smoothable Fano varieties, their moduli and some applications. / Spotti, Cristiano.

    Complex and Symplectic Geometry. Springer, 2017. (Springer INdAM Series).

    Research output: Contribution to book/anthology/report/proceedingArticle in proceedingsResearchpeer-review

  26. Published

    Kähler-Einstein metrics : Old and new. / Angella, Daniele; Spotti, Cristiano.

    In: Complex Manifolds, Vol. 4, No. 1, 2017, p. 200-204.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperReviewResearchpeer-review

  27. Published

    On the Chern Yamabe Problem. / Angella, Daniele; Calamai, Simone; Spotti, Cristiano.

    In: Mathematical Research Letters, Vol. 24, No. 3, 2017, p. 645-677.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  28. 2016
  29. Published

    On cscK resolutions of conically singular cscK varieties. / Arezzo, Claudio; Spotti, Cristiano.

    In: Journal of Functional Analysis, Vol. 271, No. 2, 07.2016.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  30. Published

    Compact moduli spaces of Del Pezzo surfaces and Kähler–Einstein metrics. / Odaka, Yuji; Spotti, Cristiano; Sun, Song.

    In: Journal of Differential Geometry, Vol. 102, No. 1, 2016, p. 127-172.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  31. Published

    Existence and deformations of Kähler–Einstein metrics on smoothable ℚ-Fano varieties. / Spotti, Cristiano; Sun, Song; Yao, Chengjian.

    In: Duke Mathematical Journal, Vol. 165, No. 16, 2016, p. 3043-3083.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  32. Published

    MR3507265 Zhang, Yuguang. Collapsing of negative Kähler-Einstein metrics. Math. Res. Lett. 22 (2015), no. 6, 1843–1869. / Spotti, Cristiano.

    In: MathSciNet, 2016.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperLiterature reviewResearch

  33. Submitted

    MR3523530 Zhang, Yuguang. Completion of the moduli space for polarized Calabi-Yau manifolds. J. Differential Geom. 103 (2016), no. 3, 521–544. / Spotti, Cristiano.

    In: MathSciNet, 2016.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperLiterature reviewResearch

  34. Submitted

    MR3539059 Lee, Nam-Hoon. A remark on Fano manifolds of Picard number one and index greater than one. J. Chungcheong Math. Soc. 29 (2016), no. 2, 361–365. / Spotti, Cristiano.

    In: MathSciNet, 2016.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperLiterature reviewResearch

  35. 2014
  36. Published

    Deformations of nodal Kähler–Einstein Del Pezzo surfaces with discrete automorphism groups. / Spotti, Cristiano.

    In: Journal of the London Mathematical Society, Vol. 89, No. 2, 2014.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  37. 2012
  38. Published

    Degenerations of Kähler-Einstein Fano Manifolds. / Spotti, Cristiano.

    2012.

    Research output: Book/anthology/dissertation/reportPh.D. thesis