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Publications


  1. A generalized Abhyankar's conjecture for simple Lie algebras in characteristic p>5
    (with S. Otabe and L. Zhang), accepted for publication in Mathematische Annalen, (2021).
    pdf | arXiv:2003.03240
  2. A crystalline incarnation of Berthelot's conjecture and Kunneth formula for isocrystals
    (with V. Di Proietto and L. Zhang), accepted for publication in Journal of Algebraic Geometry, (2021).
    pdf | arXiv:1812.05153
  3. Moduli of formal torsors II
    (with T. Yasuda), accepted for publication in Annales de l'Institut Fourier, (2021).
    pdf | arXiv:1909.09276
  4. The arithmetic local Nori fundamental group
    (with M. Romagny and L. Zhang), accepted for publication in Transactions of the American Mathematical Society, (2021).
    pdf | arXiv:1711.06898
  5. Moduli of Formal Torsors
    (with T. Yasuda), Journal of Algebraic Geometry, 29 (2020), 753-801.
    pdf | arXiv:1709.01705 | doi:10.1090/jag/771
  6. Notes on the motivic McKay correspondence for the group scheme $\alpha_p$
    (with T. Yasuda), Singularities - Kagoshima 2017, pp. 215-233 (2020).
    pdf | arXiv:1803.09558 | doi:10.1142/9789811206030_0011
  7. Essentially Finite Vector Bundles on Normal Pseudo-proper Algebraic Stacks
    (with L. Zhang), Documenta Mathematica, 25 (2020), 159-169.
    pdf | arXiv:1702.03751 | doi:10.25537/dm.2020v25.159-169
  8. Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
    (with M. Antei, I. Biswas, M. Emsalem, L. Zhang) Selecta Mathematica, 25, n. 18 (2019).
    pdf | arXiv:1706.00739 | doi:10.1007/s00029-019-0449-z
  9. F-divided sheaves trivialized by dominant maps are essentially finite
    (with L. Zhang), Trans. Amer. Math. Soc. 371 (2019).
    pdf | arXiv:1612.00208 | doi:10.1090/tran/7444
  10. Algebraic and Nori fundamental gerbes
    (with L. Zhang), Journal of the Institute of Mathematics of Jussieu, 18, 855-897, (2019).
    pdf | arXiv:1605.01332 | doi:10.1017/S147474801700024X
  11. Ramified Galois covers via monoidal functors
    Transformation groups, 22, 845-868, (2017).
    pdf | arXiv:1507.05309 | doi:10.1007/s00031-016-9395-4
  12. Trace map and regularity of extensions of a DVR
    Journal of Number Theory, 172, 133-144, (2017).
    pdf | arXiv:1506.04264 | doi:10.1016/j.jnt.2016.08.019
  13. Stacks of uniform cyclic covers of curves and their Picard groups
    (with F. Poma and M. Talpo) Algebraic Geometry, 2(1):26, (2015).
    pdf | arXiv:1312.5675 | doi:10.14231/AG-2015-005
  14. Stacks of Ramified Covers Under Diagonalizable Group Schemes
    International Mathematics Research Notices, 2014, 2165-2244, (2013).
    pdf | arXiv:1106.2347 | doi:10.1093/imrn/rns293
  15. ACM bundles on del Pezzo surfaces
    (with J. Pons-Llopis), Le Matematiche, Vol. 64 , no. 2, 177-211, (2009).
    pdf | arXiv:1003.3404 | LM

Preprints


  1. Stack of $S_3$ covers
    preprint, (2021).
    pdf arXiv:2104.08387
  2. Frobenius fixed objects of moduli
    (with V. Di Proietto and L. Zhang), preprint, (2020).
    pdf| arXiv:2012.14075
  3. Cox ring of an algebraic stack
    (with A. Hochenegger and E. Martinengo), preprint, (2020).
    pdf | arXiv:2004.01445
  4. Stacks of fiber functors and Tannaka's reconstruction
    preprint, (2020).
    pdf | arXiv:2010.12445
  5. Sheafification of linear functors
    preprint, (2014).
    pdf | arXiv:1409.4073

Ph.D. Thesis


Title    Stacks of ramified Galois covers
Link    pdf
Advisor    Angelo Vistoli
Date    May 2013
  



The webpage was updated on 13 July 2021