@article{9173,
  abstract     = {We show that Hilbert schemes of points on supersingular Enriques surface in characteristic 2, Hilbn(X), for n ≥ 2 are simply connected, symplectic varieties but are not irreducible symplectic as the hodge number h2,0 > 1, even though a supersingular Enriques surface is an irreducible symplectic variety. These are the classes of varieties which appear only in characteristic 2 and they show that the hodge number formula for G¨ottsche-Soergel does not hold over haracteristic 2. It also gives examples of varieties with trivial canonical class which are neither irreducible symplectic nor Calabi-Yau, thereby showing that there are strictly more classes of simply connected varieties with trivial canonical class in characteristic 2 than over C as given by Beauville-Bogolomov decomposition theorem.},
  author       = {Srivastava, Tanya K},
  issn         = {0007-4497},
  journal      = {Bulletin des Sciences Mathematiques},
  number       = {03},
  publisher    = {Elsevier},
  title        = {{Pathologies of the Hilbert scheme of points of a supersingular Enriques surface}},
  doi          = {10.1016/j.bulsci.2021.102957},
  volume       = {167},
  year         = {2021},
}

@article{6835,
  abstract     = {We derive the Hasse principle and weak approximation for fibrations of certain varieties in the spirit of work by Colliot-Thélène–Sansuc and Harpaz–Skorobogatov–Wittenberg. Our varieties are defined through polynomials in many variables and part of our work is devoted to establishing Schinzel's hypothesis for polynomials of this kind. This last part is achieved by using arguments behind Birch's well-known result regarding the Hasse principle for complete intersections with the notable difference that we prove our result in 50% fewer variables than in the classical Birch setting. We also study the problem of square-free values of an integer polynomial with 66.6% fewer variables than in the Birch setting.},
  author       = {Destagnol, Kevin N and Sofos, Efthymios},
  issn         = {0007-4497},
  journal      = {Bulletin des Sciences Mathematiques},
  number       = {11},
  publisher    = {Elsevier},
  title        = {{Rational points and prime values of polynomials in moderately many variables}},
  doi          = {10.1016/j.bulsci.2019.102794},
  volume       = {156},
  year         = {2019},
}