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Uniqueness of weak solutions of the Plateau flow
In this paper, we study the uniqueness of weak solutions of the heat flow of half-harmonic maps, which was first introduced by Wettstein as a...
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Counting geodesics on compact symmetric spaces
We describe the inverse image of the Riemannian exponential map at a basepoint of a compact symmetric space as the disjoint union of so called focal...
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Picard theorems for moduli spaces of polarized varieties
As a result of our study of the hyperbolicity of the moduli space of polarized manifold, we give a general big Picard theorem for a holomorphic curve...
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Cubic Rational Maps with Esca** Critical Points, Part I: Julia Set Dichotomy in the Case of an Attracting Fixed Point
The Julia set of any quadratic rational map is either connected or a Cantor set. In this paper, we extend this dichotomy to any cubic rational map...
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Preliminaries
All rings considered in this book have an identity element; all ring homomorphisms map the identity element to the identity element. We mostly...
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Conservative surface homeomorphisms with finitely many periodic points
The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface S of genus ≥ 2, that have finitely many...
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Hyperelliptic odd coverings
We investigate a class of odd (ramification) coverings C → ℙ 1 where C is hyperelliptic, its Weierstrass points map to one fixed point of ℙ 1 and the...
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The Heights Theorem for infinite Riemann surfaces
Marden and Strebel established the Heights Theorem for integrable holomorphic quadratic differentials on parabolic Riemann surfaces. We extends the...
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The Dynamics of Complex Box Map**s
In holomorphic dynamics, complex box map**s arise as first return maps to well-chosen domains. They are a generalization of polynomial-like...
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Infinitesimal Torelli for weighted complete intersections and certain Fano threefolds
We generalize the classical approach of describing the infinitesimal Torelli map in terms of multiplication in a Jacobi ring to the case of...
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Upper topology and its relation with the projective modules
In this article, first we obtain a number of new results on projective modules and on the upper topology of an ordinal number. Then it is shown that...
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On the rationality of the Nielsen zeta function for maps on solvmanifolds
In Dekimpe and Dugardein (J Fixed Point Theory Appl 17:355–370, 2015), Fel’shtyn and Lee (Topol Appl 181:62–103, 2015), the Nielsen zeta function
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Sensitivity Analysis of the Set of Sustainable Thresholds
In the context of constrained control-systems, the Set of Sustainable Thresholds plays in a sense the role of a dual object to the so-called...
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Extension in \(\mathbb C^2\)
In this chapter we prove that every biholomorphic map between bounded domains in...