3 papers
math.AG2026
Refined enumerative invariants and mixed Welschinger invariants
Eugenii Shustin, Uriel Sinichkin
For real toric surfaces and conjugation invariant point conditions with all conjugate pairs on the boundary divisors, we prove that the signed count of real curves of arbitrary gen…
math.AG2025
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…
math.AG2024
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…