the Lacertidae is one of the most diverse and widespread lizard families throughout Eurasia and Africa. Several studies so far have attempted to unravel the phylogeny of Lacertidae using morphological and molecular data. However, the intra-family relationships remain unclear. in an effort to explore the phylogenetic relationships within the family Lacertidae, a concatenated dataset of 5727 bp f...

Introduction. The fundamental invariant of a Riemann surface is its genus. In this paper, using arithmetical means, we calculate the genus of certain Riemann surfaces defined by unit groups in quaternion algebras. First we recall a well-known general construction of Riemann surfaces. The group SL2(R) acts on the upper half-plane H by Möbius transformations. If G is a Fuchsian group, that is, a ...

Let M be a closed almost complex manifold on which a compact connected Lie group G acts non-trivially. If the first Chern class of M is divisible by an integer N greater than 1, then its equivariant elliptic genus φ(M) of level N is rigid, i.e., it is constant as a virtual character of G. This result was predicted by Witten [W] and proved by Taubes [T], Bott-Taubes [BT] and Hirzebruch [H]. Elli...

In order to identify Ramularia species and morphologically similar genera, collections from different localities in Hamedan, Kurdestan and Northern provinces of Iran were obtained and examined during spring-summer 2010–11. All specimens belonging to the genus Ramularia and other morphologically similar genera deposited in the fungus reference collection of the Iranian Ministry of Agriculture we...

We prove very general formulae for the generating series of (Hodge) genera of symmetric products X with coefficients, which hold for complex quasi-projective varietiesX with any kind of singularities, and which include many of the classical results in the literature as special cases. Important specializations of our results include generating series for extensions of Hodge numbers and Hirzebruc...