Carl Tipler

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Liste complète de publications

  1. "Subspace concentration condition and Bogomolov-Gieseker inequality", preprint 2026, pdf
  2. "Stable toric sheaves. I : Chern classes", ArXiv 2510.14651
  3. "Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups", avec Rémi Delloque, Achim Napame et Carlo Scarpa, ArXiv 2506.23842
  4. "Foldable fans, cscK surfaces and local K-moduli", Moduli, Volume 2, e13 (2025) 1-31. Journal . ArXiv 2402.01159
  5. "Toric sheaves and flips", avec A. Clarke et A. Napame, Épijournal de Géom. Algébr., EPIGA 9, Paper No. 8, 20p. (2025). Journal . ArXiv 2309.09267
  6. "On the Futaki invariant of Fano threefolds", avec Lars Martin Sektnan, Ann. Univ. Ferrara 70, 811–837 (2024). Journal . ArXiv 2307.02258
  7. "Semi-stability and local wall-crossing for hermitian Yang-Mills connections", avec Andrew Clarke, J. Symplectic Geom. 22, No. 3, 673-694 (2024). Journal . ArXiv 2304.05245 . Video
  8. "A note on stable toric sheaves of low rank", Transformation Groups (2024). Journal . ArXiv 2307.02822
  9. "Blowing-up Hermitian Yang--Mills connections", avec Andrew Clarke, à paraître aux Annali della Scuola Normale Superiore di Pisa (2025). Journal . ArXiv 2301.00525
  10. "Analytic K-semistability and local wall-crossing", avec Lars Martin Sektnan, Ann. Glob. Anal. Geom. 68, 8 (2025). Journal . ArXiv 2212.08383
  11. "Toric sheaves, stability and fibrations", avec Achim Napame, J. Pure Appl. Algebra 228, No. 3, Article ID 107494, 30 p. (2024). Journal . ArXiv 2210.04587
  12. "Hermitian Yang-Mills connections on pullback bundles", avec Lars Martin Sektnan, Calc. Var. Partial Differ. Equ. 63, Paper No. 13, 63p. (2024). Journal . ArXiv 2006.06453
  13. "T-dual solutions and infinitesimal moduli of the G2-Strominger system", avec A. Clarke et M. Garcia-Fernandez, Adv. Theor. Math. Phys., vol.26, no.6, 1669-1704, 2022. Journal . ArXiv 2005.09977
  14. "The Zariski-Lipman conjecture for toric varieties", J. Algebra, 609 (2022), pp. 547-551. Journal . ArXiv 2202.02109
  15. "Gauge theory for string algebroids", avec Mario Garcia-Fernandez et Roberto Rubio, J. Differential Geom. 128(1): 77-152 (2024). Journal . ArXiv 2004.11399
  16. "Canonical metrics on holomorphic Courant algebroids", avec M. Garcia-Fernandez, R. Rubio et C. Shahbazi, Proc. London Math. Soc., 125: 700-758 (2022). Journal . ArXiv 1803.01873
  17. "Equivariant stable sheaves and toric GIT", avec Andrew Clarke, Proc. R. Soc. Edinb., Sect. A, Math., 153(2), 385-416 (2023). Journal . ArXiv 2001.01500
  18. "Relative Chow stability and optimal weights", Proc. Amer. Math. Soc., vol. 151, no. 9 (2023), 4015-4026. Journal . ArXiv 1710.02536
  19. "A moment map picture of relative balanced metrics on extremal Kähler manifolds", avec Yuji Sano, J. Geom. Anal. 31 (2021), 5941-5973. Journal . ArXiv 1703.09458
  20. "Holomorphic string algebroids", avec Mario Garcia-Fernandez et Roberto Rubio, Trans. Amer. Math. Soc. 373 (2020), 7347-7382. Journal . ArXiv 1807.10329
  21. "The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics", avec Roberto Rubio, Rev. Mat. Iberoam. 36 (2020), 485--536. Journal . ArXiv 1612.03755
  22. "Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry" avec Mario Garcia-Fernandez et Roberto Rubio, Math. Ann. (2017) 369: 539--595. Journal . ArXiv 1503.07562
  23. "Extremal metrics and lower bound of the modified K-energy" avec Yuji Sano, J. Eur. Math. Soc. (JEMS) 17 (2015), no. 9, 2289-2310. Journal . ArXiv 1211.5585
  24. "Deformations of constant scalar curvature Sasakian metrics and K-stability" avec Craig Van Coevering, Int. Math. Res. Not. IMRN 2015, no. 22, 11566-11604. Journal . ArXiv 1312.3686
  25. "Lower bounds on the modified K-energy and complex deformations" avec Andrew Clarke, Adv. Math. 252 (2014), 449-470. Journal . ArXiv 1302.0556
  26. "Deformations of complex structures and the coupled Kähler-Yang-Mills equations" avec Mario Garcia-Fernandez, J. London Math. Soc. 89 (2014) 779-796. Journal . ArXiv 1301.4480
  27. "Deformations of extremal toric manifolds" avec Yann Rollin, J. Geom. Anal. 24 (2014), no. 4, 1929-1958. Journal . ArXiv 1201.4137
  28. "A note on blow-ups of toric surfaces and CSC Kähler metrics" Tohoku Math. J. (2) Vol. 66, No. 1 (2014), 15-29. Journal . ArXiv 1203.0854
  29. "Deformation of extremal metrics, complex manifolds and the relative Futaki invariant" avec Yann Rollin et Santiago Simanca, Math. Z. 273 (2013), no. 1-2, 547-568. Journal . ArXiv 1107.0456
  30. "Extremal Kähler metrics on blow-ups of parabolic ruled surfaces" Bulletin de la SMF 141, fascicule 3 (2013), 481-516. Journal . ArXiv 1104.4315