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A numerical criterion for generalised Monge-Ampere equations on projective manifolds | Ved V. Datar
; Vamsi Pritham Pingali
; | Date: |
2 Jun 2020 | Abstract: | We prove that generalised Monge-Ampere equations (a family of PDE which
includes the inverse Hessian equations like the J-equation, as well as the
Monge-Ampere equation) on projective manifolds have smooth solutions if and
only if a numerical criterion is satisfied. As a corollary, we prove a uniform
version of a conjecture of Szekelyhidi in the projective case. Our result also
includes an equivariant version which can be used to recover existing results
on manifolds with large symmetry such as projective toric manifolds. | Source: | arXiv, 2006.1530 | Services: | Forum | Review | PDF | Favorites |
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