3 papers
math.AG2026
Holomorphic tensors on products of algebraic cones
Vlad Marchidanu
We study the product of two algebraic cones equipped with algebraic structures given by contractions. First we show that any holomorphic tensor on a quotient of by a group…
math.DG2025
An Aubin-Yau theorem for transversally Kähler foliations
Vlad Marchidanu
Transversally Kähler foliations are a generalisation of Kähler manifolds, appearing naturally in the complex non-Kähler setting. We give a self-contained proof of how the classical…
math.DG2023
Complex structures on the product of two Sasakian manifolds
Vlad Marchidanu
A Sasakian manifold is a Riemannian manifold whose metric cone admits a certain Kähler structure which behaves well under homotheties. We show that the product of two compact Sasak…