Book Review: Eigenvalues and $s$-numbers

Book Review

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Book Ramsey numbers. I

A book Bp is a graph consisting of p triangles sharing a common edge. In this paper we prove that if p ≤ q/6 − o (q) and q is large then the Ramsey number r (Bp, Bq) is given by r (Bp, Bq) = 2q + 3 and the constant 1/6 is essentially best possible. Our proof is based on Szemerédi’s uniformity lemma and a stability result for books.

Eigenvalues of Frobenius and Hodge Numbers

We study the connection between Hodge purity of the cohomology of algebraic varieties over fields of different characteristics. Specifically, we study varieties over number fields, whose cohomology in some fixed degree 2i consists entirely of Hodge classes, that is, whose Hodge cohomology in degree 2i is entirely of type (i, i). Among other things, we give sufficient conditions for varieties ov...

Book Review: 'Ecolinguistics: Language and ecology'

Ecolinguistics: language and ecology delivers an overall view and a critical approach on ecolinguistic studies. This book is an excellent resource to students, researchers, linguists and those working in the area of discourse analysis as well as ecology. The book claims presenting a news course for ecolinguistics including a framework for understanding the theory of ecolinguistics, exploration ...

Book Review