A. Grothendieck’s scientific contributions

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (1)


Hodge's general conjecture is false for trivial reasons
  • Article

July 1969

·

55 Reads

·

141 Citations

Topology

A. Grothendieck

Citations (1)


... Totaro [4] reinterpreted their result in the framework of cobordism and constructed many others. Hodge's conjecture is false in the category of Kähler manifolds, as Grothendieck [5] and Zucker [6] have recognized. For example, it is possible to construct a Kähler manifold, namely a 2-dimensional complex torus T 2 , whose only analytic submanifolds are isolated points and the torus itself. ...

Reference:

The Dirac-Dolbeault Operator Approach to the Hodge Conjecture
Hodge's general conjecture is false for trivial reasons
  • Citing Article
  • July 1969

Topology