We give an arithmetic count of the lines on a smooth cubic surface over an arbitrary
field,\[\sum_ {\text {lines}}\operatorname {Tr} _ {L/k}\langle\alpha\rangle= 15\cdot\langle …

We enrich the classical count that there are two complex lines meeting four lines in space to
an equality of isomorphism classes of bilinear forms. For any field $ k $, this enrichment …

Let A be a d-dimensional smooth algebra over a perfect field of characteristic not 2. Let
Umn+ 1 (A)/En+ 1 (A) be the set of unimodular rows of length n+ 1 up to elementary …

Abstract We compute the Chow–Witt rings of the classifying spaces for the symplectic and
special linear groups. In the structural description we give, contributions from real and …

Let R be a commutative Noetherian ring of (Krull) dimension d. It follows from a classical
result of Bass [2] that the stably free R-modules of rank at least d+ 1 are all free. Let R be an …

In [13, Section 5], Murthy defined the “Segre class” of a finitely generated module M over a
smooth affine domain A over an algebraically closed field k. The Segre class of M, denoted …

We show that the Levine–Weibel Chow group of 0-cycles CH^ d (A) CH d (A) of a reduced
affine algebra A of dimension d ≥ 2 d≥ 2 over an algebraically closed field is torsion-free …

Smooth rational affine varieties with infinitely many real forms Skip to content Should you
have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

Let A be a noetherian commutative ring of dimension d and L be a rank one projectiveA-
module. For 1≤ r≤ d, we define obstruction groups Er (A, L). This extends the original …

We discuss secondary (and higher) characteristic classes for algebraic vector bundles with
trivial top Chern class. We then show that if X is a smooth affine scheme of dimension d over …