The algebraic topology of smooth algebraic varieties
The Bauer Group of a Rational Surface.
The Betti numbers of the Hilbert scheme of ponts on a smooth projective surface.
The Betti numbers of the moduli space of stable sheaves of rank 2 on a ruled surface.
The Betti numbers of the moduli space of stable sheaves of rank2 on P2.
The Brauer and Brauer-Taylor groups of a symmetric monoidal category
The Brauer group and the Brauer–Manin set of products of varieties
Let and be smooth and projective varieties over a field finitely generated over , and let and be the varieties over an algebraic closure of obtained from and , respectively, by extension of the ground field. We show that the Galois invariant subgroup of Br Br( has finite index in the Galois invariant subgroup of Br. This implies that the cokernel of the natural map Br Br Br is finite when is a number field. In this case we prove that the Brauer–Manin set of the product of...
The Brauer Group of A [T].
The Brauer group of desingularization of moduli spaces of vector bundles over a curve
Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.
The Brauer group of integral group rings.
The Brauer ring of a commutative ring
The characteristic polynomial of a monodromy transformation attached to a family of curves.
The Chern Classes of the Stable Rank 3 Vector Bundles on IP3.
The Chow-Witt ring.
The Clifford dimension of a projective curve
The closure of a model category
The cohomology of local systems on p-adically uniformized varieties.
The cohomology of Monsky and Washnitzer
The cohomology of p-adic symmetric spaces.
The cohomology of period domains for reductive groups over finite fields