A note on the deformed Hermitian Yang-Mills PDE

Pingali, Vamsi P (2019) A note on the deformed Hermitian Yang-Mills PDE. In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 64 (3). pp. 503-518.

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Abstract

We prove a priori estimates for a generalised Monge-Ampere PDE with `non-constant coefficients' thus improving a result of Sun in the Kahler case. We apply this result to the deformed Hermitian Yang-Mills (dHYM) equation of Jacob-Yau to obtain an existence result and a priori estimates for some ranges of the phase angle assuming the existence of a subsolution. We then generalise a theorem of Collins-Szekelyhidi on toric varieties and use it to address a conjecture of Collins-Jacob-Yau.

Item Type:	Journal Article
Publication:	COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Publisher:	TAYLOR & FRANCIS LTD
Additional Information:	Copyright of this article belongs to TAYLOR AND FRANCIS
Keywords:	Deformed Hermitian Yang Mills PDE; generalised Monge Ampere PDE; toric manifolds
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	10 Feb 2019 09:47
Last Modified:	10 Feb 2019 09:47
URI:	http://eprints.iisc.ac.in/id/eprint/61628

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