6 papers
Topological and arithmetic characteristics about products of projective lines with complex tori
Jia-Li Mo, Meirav Amram, Cheng Gong
In this paper, we study non-planar degeneracies with cylindrical configurations. They could be constructed by the product of the projective plane and a com…
Detecting Zariski Pairs by Algorithms and Computational Classification in Conic Line Arrangements
Meirav Amram, Gal Goren
We present an approach to detecting Zariski pairs in conic line arrangements. Our method introduces a combinatorial condition that reformulates the tubular neighborhood homeomorphi…
Zariski pairs of conic-line arrangements of degrees 7 and 8 via fundamental groups
Meirav Amram, Robert Shwartz, Uriel Sinichkin +2
We find a new Zariski pair with non-isomorphic fundamental groups that consists of degree conic-line arrangements. Each arrangement has three conics and two lines. We use the…
The Fundamental Group of a Compact Riemann Surface via Branched Covers
Meirav Amram, Michael Chitayat, Yaacov Kopeliovich
Let be a compact Riemann surface of genus and let . We derive the classical presentation of (i.e the one given by generators $a_1,b_1, \dots, a_g,…
The fundamental group of Galois covers of surfaces with octahedral envelope
Meirav Amram, Cheng Gong, Praveen Kumar Roy +2
We compute the fundamental group of the Galois cover of a surface of degree~, with singularities of degree , whose degeneration envelope is isomorphic to an octahedron. The g…
Non-planar degenerations and related fundamental groups
Meirav Amram
We present a preliminary investigation of algebraic surfaces that have non-planar degenerations, along with their Galois covers and fundamental groups. Specifically, we investigate…