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Sequence-covering maps on submetrizable spaces
A topological space is called submetrizable if it can be mapped onto a metrizable topological space by a continuous one-to-one map. In this paper we...
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The derived Brauer map via twisted sheaves
Let X be a quasicompact quasiseparated scheme. The collection of derived Azumaya algebras in the sense of Toën forms a group, which contains the...
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The Pullback Map on Teichmüller Space Induced from a Thurston Map
William Thurston’s topological characterization of rational maps has had an enormous impact in complex dynamics. The proof depends heavily on a...
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The Enhanced Period Map and Equivariant Deformation Quantizations of Nilpotent Orbits
In a previous paper, the author and his collaborator studied the problem of lifting Hamiltonian group actions on symplectic varieties and Lagrangian...
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Effective methods for plane quartics, their theta characteristics and the Scorza map
This is a revised version of the lecture notes prepared for the workshop on “Plane quartics, Scorza map and related topics”, held in Catania, January...
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Finite regular semigroups with permutations that map elements to inverses
We give an account on what is known on the subject of permutation matchings , which are bijections of a finite regular semigroup that map each element...
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The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold
The 2-dimensional Lyness map is a 5-periodic birational map of the plane which may famously be resolved to give an automorphism of a log Calabi–Yau...
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Numerical and Theoretical Studies on the Rational Standard Map at Moderate-to-Large Values of the Amplitude Parameter
In this work an exhaustive numerical and analytical investigation of the dynamics of a bi-parametric symplectic map, the so-called rational standard...
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The c-map as a functor on certain variations of Hodge structure
We give a new manifestly natural presentation of the supergravity c-map. We achieve this by giving a more explicit description of the correspondence...
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Regularity of the superstring supermeasure and the superperiod map
The supermeasure whose integral is the genus g vacuum amplitude of superstring theory is potentially singular on the locus in the moduli space of...
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On the Degree of the Canonical Map of a Surface of General Type
Let X be a minimal complex surface of general type such that its image \(\Sigma \)...
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Invariants of Coverings of Serre Fibrations
AbstractThe category of coverings of a given Serre fibration is studied. A covering map of one such fibration onto another is understood as a...
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Contributions to the ergodic theory of hyperbolic flows: unique ergodicity for quasi-invariant measures and equilibrium states for the time-one map
We consider the horocyclic flow corresponding to a (topologically mixing) Anosov flow or diffeomorphism, and establish the uniqueness of transverse...
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Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map
The endomorphism ring of the projective plane over a field F of characteristic neither two nor three is slightly more complicated in the...
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On the Pullback Relation on Curves Induced by a Thurston Map
Via taking connected components of preimages, a Thurston map f : (S2, Pf) → (S2, Pf) induces a pullback relation on the set of isotopy classes of...
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Existence Theorem for Coverings of Serre Bundles
AbstractIn this paper, we study coverings of the Serre bundle category. A covering map** of one such bundle onto another is understood as a...
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The Voisin map via families of extensions
Let Y be a cubic fourfold not containing any plane, F ( Y ) be the variety of lines in Y , Z ( Y ) be the Lehn-Lehn-Sorger-van Straten hyperkähler eightfold...
