On the Brauer group of a surface

By Qing Liu, Dino J. Lorenzini, M. Raynaud. 2005

63 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7a38fd071fe55c50f9b287970b64206bf0463ae1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. D. Huybrechts
2. Abhinav Kumar
3. Noam D. Elkies

In Geometry and Topology

1. D. Huybrechts
2. Noam D. Elkies
3. Abhinav Kumar
4. E. Markman
5. Kieran G. O’Grady
6. P. Stellari
7. Emanuele Macrì
8. Keiji Oguiso

Citations in the corpus

• Lectures on K3 Surfaces (2016, background): “In [503] Raynaud produces for any algebraically closed field of positive characteristic a smooth projective surface together with an ample line bundle L such that H1(X,L⊗ ωX) 6= 0. ii) A priori there is no reason why the Kodaira vanishing theorem should hold for line bundles L on K3 surfaces in posi”
• K3 surfaces and equations for Hilbert modular surfaces (2012, background): “On the other hand, if both these reductions satisfy the Tate conjecture, then they also satisfy the Artin–Tate conjecture [Milne 1975a, 1975b], and since the size of the Brauer group of X p is a square [Milne 1975a; Liu et al. 2005], the Néron–Severi groups must have discriminants in the same square”