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Background: In this project the authors use a narrative medicine (NM) approach to assess the promotion of trust in the relationship between physicians and their asthma patients. Methods: Following a NM educational course for physicians, a research was carried out in which at least 5 written narratives (parallel charts) for each participating physician were collected and qualitatively analysed according to Bury’s classification and the Grounded Theory. Results: The results of this study were of speculative and clinical interest. In particular, 66 participants wrote 314 narratives (246 on adult and 68 on paediatric patients). As a result of applying the NM approach, when the relationships remained problematic, many physicians wrote with a moral style about their adult (67%), and paediatric patients (33%) - especially in cases of asthmatic children’s or adolescents’ overprotective or absent families (40%) -. On the contrary, physicians who were able to listen to their patients with empathy (35%) made more shared decisions with patients, even with those they initially had a bad relationship. The used words of welcome, interest and acceptance were promoting patients’ trust that lead to restoring their activities in 45% of cases, according to physicians self-reporting. Conclusions: These approaches of NM are useful in daily clinical practice, with the goal of improving the quality of life (QOL) of patients with severe asthma, even in cases in which the doctor-patient relationship isn’t initially good.

We give sufficient conditions for the existence of Kähler–Einstein and constant scalar curvature Kähler (cscK) metrics on finite ramified Galois coverings of a cscK manifold in terms of cohomological conditions on the Kähler classes and the branching divisor. This result generalizes previous work on Kähler–Einstein metrics by Li and Sun [C. Li and S. Sun, Conical Kähler–Einstein metrics revisited, Comm. Math. Phys. 331 2014, 3, 927–973], and extends Chen–Cheng’s existence results for cscK metrics in [X. Chen and J. Cheng, On the constant scalar curvature Kähler metrics (II)—Existence results, J. Amer. Math. Soc. 34 2021, 4, 937–1009].

Given a compact constant scalar curvature Kahler orbifold, with nontrivial holomorphic vector fields, whose singularities admit a local ALE Kahler Ricci-flat resolution, we find sufficient conditions on the position of the singular points to ensure the existence of a global constant scalar curvature Kahler desingularization. We also give complete proofs of a number of analytic results which have been used in this context by various authors. A series of explicit examples is discussed.

In this note we revisit and extend few classical and recent results on the definition and use of the Futaki invariant in connection with the existence problem for Kähler constant scalar curvature metrics on polarized algebraic manifolds, especially in the case of resolution of singularities. The general inspiration behind this work is no doubt the beautiful paper by Ding and Tian [16] which contains the germs of a huge amount of the successive developments in this fundamental problem, and it is a great pleasure to dedicate this to Professor G. Tian on the occasion of his birthday.

We prove a regularity result for Monge–Ampere equations degenerate along smooth divisor on Kahler manifolds in Donaldson’s spaces of $$\beta $$ -weighted functions. We apply this result to study the curvature of Kahler metrics with conical singularities and give a geometric sufficient condition on the divisor for its boundedness.

We investigate how to obtain various flows of K\"ahler metrics on a fixed manifold as variations of K\"ahler reductions of a metric satisfying a given static equation on a higher dimensional manifold. We identify static equations that induce the geodesic equation for the Mabuchi's metric, the Calabi flow, the pseudo-Calabi flow of Chen-Zheng and the K\"ahler-Ricci flow. In the latter case we re-derive the V-soliton equation of La Nave-Tian., Comment: 18 pages

Toeplitz operators on quantized compact symplectic manifolds were introduced by Guillemin and Boutet de Monvel, who studied their spectral asymptotics in analogy with the theory developed by Duistermaat, Guillemin, and H\"{o}rmander for pseudodifferential operators. In this survey, we review some recent results concerning eigenfunction asymptotics in this context, largely based on the microlocal description of Szeg\"{o} kernels by Boutet de Monvel and Sj\"{o}strand, and its revisitation and generalization to the almost complex symplectic category by Shiffman and Zelditch. For simplicity, the exposition is restricted to the complex projective setting.

In this paper we extend the notion of Futaki invariant to big and nef classes in such a way that it defines a continuous function on the \K\ cone up to the boundary. We apply this concept to prove that reduced normal crossing singularities are sufficient to check $K$-semistability. A similar improvement on Donaldson's lower bound for Calabi energy is given., Major revision of previous upload. 18 pages

We consider the problem of existence of constant scalar curvature Kaehler metrics on complete intersections of sections of vector bundles. In particular we give general formulas relating the Futaki invariant of such a manifold to the weight of sections defining it and to the Futaki invariant of the ambient manifold. As applications we give a new Mukai-Umemura-Tian like example of Fano 5-fold admitting no Kaehler-Einstein metric and a strong evidence of K-stability of complete intersections on Grassmannians., 19 pages

In this paper we study the first eigenvalue of the Laplacian on a compact Kaehler manifold using stable bundles and balanced bases., 16 pages

We consider Fano manifolds M that admit a collection of finite automorphism, groups G(1),..., G(k), such that the quotients M/G(i) are smooth Fano manifolds possessing a Kahler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kahler-Einstein metric too

We consider Fano manifolds M that admit a collection of finite automorphism groups G_1, ..., G_k, such that the quotients M/G_i are smooth Fano manifolds possessing a Kaehler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kaehler-Einstein metric too., 30 pages, Latex