@article{9099,
  abstract     = {We show that on an Abelian variety over an algebraically closed field of positive characteristic, the obstruction to lifting an automorphism to a field of characteristic zero as a morphism vanishes if and only if it vanishes for lifting it as a derived autoequivalence. We also compare the deformation space of these two types of deformations.},
  author       = {Srivastava, Tanya K},
  issn         = {14208938},
  journal      = {Archiv der Mathematik},
  number       = {5},
  pages        = {515--527},
  publisher    = {Springer Nature},
  title        = {{Lifting automorphisms on Abelian varieties as derived autoequivalences}},
  doi          = {10.1007/s00013-020-01564-y},
  volume       = {116},
  year         = {2021},
}

@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{7436,
  abstract     = {For an ordinary K3 surface over an algebraically closed field of positive characteristic we show that every automorphism lifts to characteristic zero. Moreover, we show that the Fourier-Mukai partners of an ordinary K3 surface are in one-to-one correspondence with the Fourier-Mukai partners of the geometric generic fiber of its canonical lift. We also prove that the explicit counting formula for Fourier-Mukai partners of the K3 surfaces with Picard rank two and with discriminant equal to minus of a prime number, in terms of the class number of the prime, holds over a field of positive characteristic as well. We show that the image of the derived autoequivalence group of a K3 surface of finite height in the group of isometries of its crystalline cohomology has index at least two. Moreover, we provide a conditional upper bound on the kernel of this natural cohomological descent map. Further, we give an extended remark in the appendix on the possibility of an F-crystal structure on the crystalline cohomology of a K3 surface over an algebraically closed field of positive characteristic and show that the naive F-crystal structure fails in being compatible with inner product. },
  author       = {Srivastava, Tanya K},
  issn         = {1431-0643},
  journal      = {Documenta Mathematica},
  pages        = {1135--1177},
  publisher    = {EMS Press},
  title        = {{On derived equivalences of k3 surfaces in positive characteristic}},
  doi          = {10.25537/dm.2019v24.1135-1177},
  volume       = {24},
  year         = {2019},
}