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math.DGNov 9, 2024
authors
  • Valentino Tosatti
institutions
  • Courant Institute of Mathematical Sciences
  • New York University
arXiv abstractPDF
paper

A Cheng-Yau type estimate for the symplectic Calabi-Yau equation

arXiv:2411.06234 · doi:10.1007/978-3-031-92297-8_15

Abstract

In the setting of Donaldson's conjecture on the Calabi-Yau equation on symplectic 4-manifolds, we prove an a priori estimate which in the Kähler case resembles a classical estimate of Cheng-Yau.

17 pages

References in corpus (2)

  • The Monge-Ampère equation for (n-1)-plurisubharmonic functions on a compact Kähler manifold
  • Taming symplectic forms and the Calabi-Yau equation
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