Publications and Prepublications
- An integral representation theorem for DQ-modules, with D. Gepner, in preparation
- Holomorphic Frobenius actions for DQ-modules, 2018,
ArXiv version.
- Tempered subanalytic topology on algebraic varieties, 2017,
ArXiv version.
- Quantization of spectral curves and DQ-modules, To appear in Journal of Noncommutative Geometry,
ArXiv version.
- The Codimension-Three conjecture for holonomic DQ-modules , Selecta Mathematica New Series, (2017). https://doi.org/10.1007/s00029-017-0354-2
ArXiv version.
- Fourier-Mukai transform in the quantized setting,
Advances in Mathematics, Volume 256, 2014, Pages 1-17.
ArXiv version.
- The Lefschetz-Lunts formula for deformation quantization
modules, Mathematische Zeitschrift 2012,
Doi:10.1007/s00209-012-1046-4.
ArXiv version.
- DG Affinity of DQ-modules, International Mathematics Research Notices 2012,
No. 6, 1414-1438.
ArXiv version.
- A Riemann-Roch Theorem for dg Algebras, Bulletin
de la SMF 141, fascicule 2 (2013), 197-223.
ArXiv version.
Reports
- Quantization of spectral curves and DQ-modules, Oberwolfach Reports , Volume 13, Issue 1, 2016, 432-433.
- The codimension-three conjecture for holonomic DQ-modules, Oberwolfach Reports , , Volume 11, Issue 2, 2014, 1385-1387.
Thesis
Thesis made under the supervision of Pierre Schapira and defended on the 20th june 2012.
François Petit-Université du Luxembourg