• Corpus ID: 211990570

A remark on higher Todd genera of complex manifolds

@article{Bei2020ARO,
  title={A remark on higher Todd genera of complex manifolds},
  author={Francesco Bei and Paolo Piazza},
  journal={arXiv: Differential Geometry},
  year={2020}
}
Let $M$ be a compact complex manifold. In this paper, generalizing previous results due to Rosenberg and Block-Weinberger in the case of complex projective varieties, we show that the higher Todd genera of $M$ are bimeromorphic invariants. 

References

SHOWING 1-10 OF 14 REFERENCES

Higher Todd Classes and Holomorphic Group Actions

This paper attempts to provide an analogue of the Novikov conjecture for algebraic (or Kahler) manifolds. Inter alia, we prove a conjecture of Rosenberg’s on the birational invariance of higher Todd

A Dolbeault–Hilbert complex for a variety with isolated singular points

  • J. Lott
  • Mathematics
    Annals of K-Theory
  • 2019
Given a compact Hermitian complex space with isolated singular points, we construct a Dolbeault-type Hilbert complex whose cohomology is isomorphic to the cohomology of the structure sheaf. We show

LOCAL SIMPLE CONNECTEDNESS OF RESOLUTIONS OF LOG-TERMINAL SINGULARITIES

We study fundamental groups related with log-terminal singularities, and show that fundamental groups are preserved by a resolution of singularities. As corollaries, we show that fundamental groups

Algebraic Topology

The focus of this paper is a proof of the Nielsen-Schreier Theorem, stating that every subgroup of a free group is free, using tools from algebraic topology.

Torification and factorization of birational maps

Building on the work of the fourth author in math.AG/9904074, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular

AN ANALOGUE OF THE NOVIKOV CONJECTURE IN COMPLEX ALGEBRAIC GEOMETRY

We introduce an analogue of the Novikov Conjecture on higher signatures in the context of the algebraic geometry of (nonsingular) complex projective varieties. This conjecture asserts that certain

The ∂-operator on algebraic curves

On montre pour une courbe algebrique singuliere, que toutes les extensions fermees de ∂ sont de Fredholm et on donne une formule d'index generale. On demontre, en particulier, une version modifiee

The Riemann-Roch theorem for complex spaces

TI-I~ RIEMANN-ROCn THEOREM. Denote by IQo~ the Grothendieck group of the category o f all coherent sheaves on the complex space M and by Kt~p(M) the usual homology K-functor of the underlying

Complex Analytic Sets

The theory of complex analytic sets is part of the modern geometric theory of functions of several complex variables. Traditionally, the presentation of the foundations of the theory of analytic sets

L2-theory for the dbar-operator on compact complex spaces