Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Fixed point theorems involving numerical invariants

  • Part of
  • Olivier Haution
  • Journal:
    Compositio Mathematica / Volume 155 / Issue 2 / February 2019
    Published online by Cambridge University Press:
    29 January 2019, pp. 260-288
    Print publication:
    February 2019
    • Article
      • You have access
      • Open access
    • PDF
    • HTML
    • Export citation

  • We exhibit invariants of smooth projective algebraic varieties with integer values, whose nonvanishing modulo $p$ prevents the existence of an action without fixed points of certain finite $p$-groups. The case of base fields of characteristic $p$ is included. Counterexamples are systematically provided to test the sharpness of our results.

  • The Hodge ring of Kähler manifolds

  • Part of
  • D. Kotschick, S. Schreieder
  • Journal:
    Compositio Mathematica / Volume 149 / Issue 4 / April 2013
    Published online by Cambridge University Press:
    28 February 2013, pp. 637-657
    Print publication:
    April 2013
    • Article
      • You have access
    • PDF
    • Export citation

  • We determine the structure of the Hodge ring, a natural object encoding the Hodge numbers of all compact Kähler manifolds. As a consequence of this structure, there are no unexpected relations among the Hodge numbers, and no essential differences between the Hodge numbers of smooth complex projective varieties and those of arbitrary Kähler manifolds. The consideration of certain natural ideals in the Hodge ring allows us to determine exactly which linear combinations of Hodge numbers are birationally invariant, and which are topological invariants. Combining the Hodge and unitary bordism rings, we are also able to treat linear combinations of Hodge and Chern numbers. In particular, this leads to a complete solution of a classical problem of Hirzebruch’s.