On the construction problem for Hodge numbers

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Stefan Schreieder

Externe Organisationen

  • Max-Planck-Institut für Mathematik
  • Rheinische Friedrich-Wilhelms-Universität Bonn
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)295-342
Seitenumfang48
FachzeitschriftGeometry and Topology
Jahrgang19
Ausgabenummer1
PublikationsstatusVeröffentlicht - 27 Feb. 2015
Extern publiziertJa

Abstract

For any symmetric collection (hp,q)p+q=k of natural numbers, we construct a smooth complex projective variety X whose weight-k Hodge structure has Hodge numbers hp,q(X)= hp,q; if k D 2m is even, then we have to impose that hm,m is bigger than some quadratic bound in m. Combining these results for different weights, we solve the construction problem for the truncated Hodge diamond under two additional assumptions. Our results lead to a complete classification of all nontrivial dominations among Hodge numbers of Kähler manifolds.

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On the construction problem for Hodge numbers. / Schreieder, Stefan.
in: Geometry and Topology, Jahrgang 19, Nr. 1, 27.02.2015, S. 295-342.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Schreieder S. On the construction problem for Hodge numbers. Geometry and Topology. 2015 Feb 27;19(1):295-342. doi: 10.2140/gt.2015.19.295
Schreieder, Stefan. / On the construction problem for Hodge numbers. in: Geometry and Topology. 2015 ; Jahrgang 19, Nr. 1. S. 295-342.
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