Most of my publications are available on ArXiv.
PRE-PRINTS
C. Spotti, On multiscale aspects of Kähler-Einstein metrics and algebraic geometry.
Pre-print: arXiv:2509.11646 (2025).
RESEARCH PUBLICATIONS
F. Giusti, C. Spotti, Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds,
IMRN, Issuse 18, September 2025.
F. Giusti, C. Spotti, A Kümmer construction for Chern-Ricci flat balanced manifolds,
Pre-print: arXiv:2309.12909 (accepted on Math Z.)
M. de Borbon, C. Spotti, Some models for bubbling of (log) Kähler-Einstein metrics,
Annali dell'Universitá di Ferrara (Special Edge Volume), Volume 70, pages 1037–1068, (2024).
M. Sektnan, C. Spotti, Extremal metrics on the total space of destabilizing test configurations,
Matematische Annalen Volume 388, pages 3427–3461, (2024).
M. de Borbon, C. Spotti, Calabi-Yau metrics with conical singularities along hyperplane arrangements,
Journal of Differential Geometry Vol. 123, Issue 2, (2023) , pag 195-239.
D. Angella, S. Calamai. F. Pediconi, C. Spotti, A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds,
Transformation Groups (2023). https://doi.org/10.1007/s00031-023-09815-2
J. Martinez-Garcia, C. Spotti, Some observations on the dimension of Fano K-moduli,
Springer Proceedings in Mathematics & Statistic, Vol 409 (2023).
P. Gallardo, Patricio, J. Martinez-Garcia, C. Spotti, Applications of the moduli continuity method to log K-stable pairs.
J. Lond. Math. Soc. (2) 103 (2021), no. 2, 729–759.
M. de Borbon, C. Spotti, ALE Calabi-Yau metrics with conical singularities along a compact divisor,
IMRN, Issue 2, January 2021, Pages 1198–1223.
D. Angella, S. Calamai, C. Spotti, Remarks on Chern-Einstein Hermitian metrics.
Math. Z. 295 (2020), no. 3-4, 1707–1722.
M. de Borbon, C. Spotti, Local models for conical Kähler-Einstein metrics.
Proc. Amer. Math. Soc. 147 (2019), no. 3, 1217–1230.
C. Spotti, S. Sun, Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds.
Pure Appl. Math. Q. 13 (2017), no. 3, 477–515.
D. Angella, S. Calamai, C. Spotti, On the Chern-Yamabe problem.
Math. Res. Lett. 24 (2017), no. 3, 645–677.
C. Spotti, Cristiano, S. Sun, C. Yao Existence and deformations of Kähler-Einstein metrics on smoothable ℚ-Fano varieties.
Duke Math. J. 165 (2016), no. 16, 3043–3083.
C. Arezzo, C. Spotti, On cscK resolutions of conically singular cscK varieties.
J. Funct. Anal. 271 (2016), no. 2, 474–494.
Y. Odaka, C. Spotti, S. Sun, Compact moduli spaces of del Pezzo surfaces and Kähler-Einstein metrics.
J. Diff. Geom. 102 (2016), no. 1, 127–172.
C. Spotti, Deformations of nodal Kähler-Einstein del Pezzo surfaces with discrete automorphism groups.
J. Lond. Math. Soc. (2) 89 (2014), no. 2, 539–558.
REPORTS
C. Spotti, Geometric aspects Kähler-Einstein metrics on klt pairs: remarks on optimal Bogomolov-Miyaoka-Yau inequality,
ZAG Handbook of Modern Algebraic Geometry (2025).
C. Spotti, Towards canonical locally conformally Kähler metrics,
Oberwolfach report, Differentialgeometrie im Grossen (2023).
C. Spotti, On geometric properties of log Kähler-Einstein metrics,
Oberwolfach report, Differentialgeometrie im Grossen (2019)
LECTURE NOTES & SURVEYS
C. Spotti, Kähler-Einstein metrics on Q-smoothable Fano varieties, their moduli and some applications,
Springer INdAM Proceedings, (2017).
D. Angella, C. Spotti, Kähler-Einstein metrics old and new,
Complex Geometry (2017).
C. Spotti, Kähler-Einstein metrics via moduli continuity method,
Springer INdAM Proceedings series. (2017).
PHD Thesis
C. Spotti, Degenerations of Kähler-Einstein Fano manifolds, PhD Thesis Imperial College London,
available on arXiv1211.533 (2012).