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Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7475
Abstract: We prove a conjecture of Medvedev and Scanlon [Ann. of Math. (2), 179 (2014), no. 1, 81–177] in the case of regular morphisms of semiabelian varieties. That is, if G G is a semiabelian variety defined…
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Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7504
Abstract: Let n ≥ 3 n \ge 3 , p ∈ ( 1 , + ∞ ) p \in (1, \, +\infty ) be given. Let Σ \Sigma be an n n -dimensional, closed hypersurface in…
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7531
Abstract: A lattice d d -simplex is the convex hull of d + 1 d+1 affinely independent integer points in R d {\mathbb R}^d . It is called empty if it contains no lattice point apart…
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7667
Abstract: The problem of the distribution of the critical points of polynomials in terms of the distribution μ \mu of the zeros is considered. It is shown that away from the inner boundary of the (compact)…
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7786
Abstract: We give two infinite families of examples of closed, orientable, irreducible 3-manifolds M M such that b 1 ( M ) = 1 b_1(M)=1 and π 1 ( M ) \pi _1(M) has weight 1,…
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7897
Abstract: We generalize the notion of a separating intersection of links (SIL) to give necessary and sufficient criteria on the defining graph Γ \Gamma of a right-angled Coxeter group W Γ W_\Gamma so that its outer…
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7961
Abstract: Using Lagrangian Floer theory, we study the tropical geometry of K3 surfaces with more general singular fibres other than simple nodal curves. In particular, we give the local models for the types I n I_n…
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7970
Abstract: For an oriented manifold M M whose dimension is less than 4 4 , we use the contractibility of certain complexes associated to its submanifolds to cut M M into simpler pieces in order to…
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Published in 2022 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/8638
Abstract: We give a complete characterization of Schatten class Hankel operators H f H_f acting on weighted Segal-Bargmann spaces F 2 ( φ ) F^2(\varphi ) using the notion of integral distance to analytic functions in…
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