20 citations · 30 across the 8 of their papers we have counts for
10 papers
The Riemann-Roch theorem for the Adams operations
A. Navarro, J. Navarro
We prove the classical Riemann-Roch theorems for the Adams operations on -theory: a statement with coefficients on , that holds for arbitrary proje…
On the higher Riemann-Roch without denominators
Alberto Navarro
We prove two refinements of the higher Riemann-Roch without denominators: a statement for regular closed immersions between arbitrary finite dimensional noetherian schemes, with no…
On the Riemann-Roch formula without projective hypothesis
A. Navarro, J. Navarro
Let be a finite dimensional noetherian scheme. For any proper morphism between smooth -schemes, we prove a Riemann-Roch formula relating higher algebraic -theory and moti…
Natural operations on holomorphic forms
Alberto Navarro, Jose Navarro, Carlos Tejero Prieto
We prove that the only natural differential operations between holomorphic forms on a complex manifold are those obtained using linear combinations, the exterior product and the ex…
Riemann-Roch for homotopy invariant K-theory and Gysin morphisms
Alberto Navarro
We prove the Riemann-Roch theorem for homotopy invariant -theory and projective local complete intersection morphisms between finite dimensional noetherian schemes, without smoo…
On Grothendieck's Riemann-Roch Theorem
Alberto Navarro
We prove that, for smooth quasi-projective varieties over a field, the -theory of vector bundles is the universal cohomology theory where $c_1(L\otimes \bar L)=c_1(L)+c_1…