Titlebook: Bridging Algebra, Geometry, and Topology; Denis Ibadula,Willem Veys Conference proceedings 2014 Springer International Publishing Switzerl

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Hodge Invariants of Higher-Dimensional Analogues of Kodaira Surfaces,s, by using methods of toric geometry (see also [9, 16]). Some higher-dimensional analogues of Kodaira surfaces are obtained as hypersurfaces in these Inoue manifolds. In this paper we construct another higher-dimensional analogues of primary Kodaira surfaces and we compute their invariants as the H

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Fibonacci Numbers and Self-Dual Lattice Structures for Plane Branches,ts needed to achieve its minimal embedded resolution. We show that there are .. topological types of blow-up complexity ., where .. is the .-th Fibonacci number. We introduce complexity-preserving operations on topological types which increase the multiplicity and we deduce that the maximal multipli

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Four Generated, Squarefree, Monomial Ideals,d by three monomials of degrees . and a set of monomials of degrees ≥ . + 1, or by four special monomials of degrees .. If the Stanley depth of .∕. is ≤ . + 1 then the usual depth of .∕. is ≤ . + 1 too.

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