Relative K-stability and modified K-energy on toric manifolds

• Autores: B. Zhou, Xiaohua Zhu
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 4, 2008, págs. 1327-1362
• Idioma: inglés
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• Resumen

  • In this paper, we give a sufficient condition for both the relative K-stability and the properness of modified K-energy associated to Calabi's extremal metrics on toric manifolds. In addition, several examples of toric manifolds which satisfy the sufficient condition are presented.